%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM536+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 02:25:53 PM UTC 2026
% Result : Theorem 54.12s 14.87s
% Output : CNFRefutation 65.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 21
% Syntax : Number of formulae : 5169 ( 73 unt; 6 def)
% Number of atoms : 36471 (7078 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 19902 (6490 ~;13257 |; 120 &)
% ( 22 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 8161 ( 0 sgn8148 !; 13 ?;7896 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(f15,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(f18,axiom,
( aSet0(xS)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679_02) ).
fof(f20,conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) = xS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f26,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(flattening,[],[f21]) ).
fof(f29,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] :
( X0 = slcrc0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f31,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f35,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f40,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f50,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( aElementOf0(sK4(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f52]) ).
fof(f54,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f55,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ( aElementOf0(sK5(X0,X1),X1)
& ~ aElementOf0(sK5(X0,X1),X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f56]) ).
fof(f58,plain,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( ( sdtpldt0(X0,X1) != X2
| sP0(X2,X0,X1) )
& ( ~ sP0(X2,X0,X1)
| X2 = sdtpldt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f59,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ! [X2] :
( ( sdtpldt0(X1,X0) != X2
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| sdtpldt0(X1,X0) = X2 ) ) ),
inference(rectify,[],[f58]) ).
fof(f64,plain,
! [X1,X0] :
( ~ sP3(X1,X0)
| ! [X2] :
( ( sdtmndt0(X0,X1) != X2
| sP2(X2,X0,X1) )
& ( ~ sP2(X2,X0,X1)
| X2 = sdtmndt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| ! [X2] :
( ( sdtmndt0(X1,X0) != X2
| sP2(X2,X1,X0) )
& ( ~ sP2(X2,X1,X0)
| sdtmndt0(X1,X0) = X2 ) ) ),
inference(rectify,[],[f64]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f71,plain,
! [X2,X0] :
( slcrc0 != X0
| ~ aElementOf0(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f72,plain,
! [X0] :
( slcrc0 != X0
| aSet0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f73,plain,
! [X0] :
( aElementOf0(sK4(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f75,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f80,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f81,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| aSubsetOf0(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| sdtpldt0(X1,X0) != X2
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1)
| ~ sP0(X2,X1,X0)
| sdtpldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f94,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| sdtmndt0(X1,X0) != X2
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1)
| ~ sP2(X2,X1,X0)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f65]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP3(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f108,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f109,plain,
aElement0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f110,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f111,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(cnf_transformation,[],[f26]) ).
fof(f112,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f72]) ).
fof(f113,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f71]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(sdtpldt0(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f83]) ).
fof(f116,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sP2(sdtmndt0(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f95]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_50,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),X0)
| ( X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_51,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f112]) ).
tcf(c_52,plain,
! [X0: $i] : ~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f113]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| aElementOf0(sK5(X1,X0),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X2)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_59,plain,
! [X0: $i] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X1,X2) = X0 )
| ~ sP1(X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( sP1(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X1,X2) = X0 )
| ~ sP3(X2,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sP3(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(X1,X0),X0) = X1 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_87,plain,
aElement0(xx),
inference(cnf_transformation,[],[f109]) ).
tcf(c_88,plain,
aSet0(xS),
inference(cnf_transformation,[],[f108]) ).
tcf(c_89,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f110]) ).
tcf(c_90,negated_conjecture,
sdtmndt0(sdtpldt0(xS,xx),xx) != xS,
inference(cnf_transformation,[],[f111]) ).
tcf(c_92,plain,
( aSubsetOf0(slcrc0,slcrc0)
| ~ aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_103,plain,
( ( slcrc0 = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_56,c_60]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(renaming,[status(thm)],[c_108]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_56,c_61]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(renaming,[status(thm)],[c_110]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtpldt0(X3,X1),X3,X1)
| ~ aSet0(X2)
| ~ aElement0(X0)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_63]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(unflattening,[status(thm)],[c_617]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(X0,X2) = X4 )
| ~ aSet0(X1)
| ~ aElement0(X3)
| ~ sP0(X4,X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_73]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X1,X2) = X0 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ sP0(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_629]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(sdtmndt0(X3,X1),X3,X1)
| ~ aSet0(X2)
| ~ aElement0(X0)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_85,c_75]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(unflattening,[status(thm)],[c_651]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtmndt0(X0,X2) = X4 )
| ~ aSet0(X1)
| ~ aElement0(X3)
| ~ sP2(X4,X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_74,c_85]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X1,X2) = X0 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ sP2(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_663]) ).
tcf(c_4833,definition,
iPr_def_10 = sdtpldt0(xS,xx),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4834,definition,
iPr_def_11 = sdtmndt0(iPr_def_10,xx),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_4835,negated_conjecture,
iPr_def_11 != xS,
inference(demodulation,[status(thm)],[c_90,c_4833,c_4834]) ).
tcf(c_4836,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_4838,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_4840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,X2)
| ~ aElementOf0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_5469,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
tcf(c_5522,plain,
( sP0(iPr_def_10,xS,xx)
| ~ aSet0(xS)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_4833,c_618]) ).
tcf(c_5529,plain,
sP0(iPr_def_10,xS,xx),
inference(forward_subsumption_resolution,[status(thm)],[c_5522,c_88,c_87]) ).
tcf(c_5550,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtpldt0(sdtmndt0(X0,sK4(X0)),sK4(X0)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_50,c_86]) ).
tcf(c_5562,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtpldt0(sdtmndt0(X0,sK5(X1,X0)),sK5(X1,X0)) = X0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_5563,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| aElement0(sK5(X1,X0))
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_49]) ).
tcf(c_5564,plain,
! [X0: $i] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_52]) ).
tcf(c_5565,plain,
! [X0: $i] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5564,c_51]) ).
tcf(c_5584,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_5585,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X2)
| aElementOf0(sK5(X2,X0),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_5952,plain,
! [X0: $i] :
( ( iPr_def_11 = xS )
| ( iPr_def_11 != X0 )
| ( xS != X0 ) ),
inference(instantiation,[status(thm)],[c_4838]) ).
tcf(c_6015,plain,
( sP2(iPr_def_11,iPr_def_10,xx)
| ~ aSet0(iPr_def_10)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_4834,c_652]) ).
tcf(c_6042,plain,
( aSubsetOf0(xS,iPr_def_11)
| aElementOf0(sK5(iPr_def_11,xS),xS)
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6047,plain,
( aElementOf0(sK4(xS),xS)
| ( xS = slcrc0 )
| ~ aSet0(xS) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6154,plain,
~ aElementOf0(xx,slcrc0),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_6525,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,X1)
| ~ aElementOf0(sK5(iPr_def_11,xS),xS)
| ( X1 != xS )
| ( X0 != sK5(iPr_def_11,xS) ) ),
inference(instantiation,[status(thm)],[c_4840]) ).
tcf(c_6684,plain,
( sP0(iPr_def_10,xS,xx)
| ~ aSet0(xS)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_4833,c_618]) ).
tcf(c_6691,plain,
sP0(iPr_def_10,xS,xx),
inference(forward_subsumption_resolution,[status(thm)],[c_6684,c_88,c_87]) ).
tcf(c_6801,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( iPr_def_11 = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6810,plain,
( ( iPr_def_11 = xS )
| ( iPr_def_11 != iPr_def_11 )
| ( xS != iPr_def_11 ) ),
inference(instantiation,[status(thm)],[c_5952]) ).
tcf(c_6811,plain,
iPr_def_11 = iPr_def_11,
inference(instantiation,[status(thm)],[c_4836]) ).
tcf(c_7312,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_5565,c_109]) ).
tcf(c_7591,plain,
( aElement0(sK4(xS))
| ~ aSet0(xS)
| ~ aElementOf0(sK4(xS),xS) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7891,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| aElementOf0(sK5(xS,X0),X0)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_7892,plain,
( aSubsetOf0(slcrc0,xS)
| aElementOf0(sK5(xS,slcrc0),slcrc0)
| ~ aSet0(xS)
| ~ aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[c_7891]) ).
tcf(c_7893,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aElementOf0(sK5(xS,X0),xS) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_7953,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_5565,c_111]) ).
tcf(c_7999,plain,
( ( sdtpldt0(xS,xx) = iPr_def_10 )
| ~ aSet0(xS)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_5529,c_630]) ).
tcf(c_8001,plain,
sdtpldt0(xS,xx) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_7999,c_88,c_87]) ).
tcf(c_8343,plain,
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(xS,sK4(xS)),sK4(xS)) = xS ) ),
inference(superposition,[status(thm)],[c_88,c_5550]) ).
tcf(c_8391,plain,
( sP0(xS,sdtmndt0(xS,sK4(xS)),sK4(xS))
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(xS,sK4(xS))) ),
inference(superposition,[status(thm)],[c_8343,c_618]) ).
tcf(c_8605,plain,
! [X0: $i,X1: $i] :
( ( X0 = xS )
| ( xS != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_4838]) ).
tcf(c_8606,plain,
( ( slcrc0 = xS )
| ( xS != slcrc0 )
| ( slcrc0 != slcrc0 ) ),
inference(instantiation,[status(thm)],[c_8605]) ).
tcf(c_10863,plain,
~ aElementOf0(sK5(xS,slcrc0),slcrc0),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_11609,plain,
( aSubsetOf0(xS,xS)
| ~ aSet0(xS)
| ~ aElementOf0(sK5(xS,xS),xS) ),
inference(instantiation,[status(thm)],[c_7893]) ).
tcf(c_11610,plain,
( aSubsetOf0(xS,xS)
| aElementOf0(sK5(xS,xS),xS)
| ~ aSet0(xS) ),
inference(instantiation,[status(thm)],[c_7891]) ).
tcf(c_12489,plain,
~ aElementOf0(sK5(iPr_def_11,xS),slcrc0),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_12797,plain,
! [X0: $i] :
( aElementOf0(sK5(iPr_def_11,xS),X0)
| ~ aElementOf0(sK5(iPr_def_11,xS),xS)
| ( X0 != xS )
| ( sK5(iPr_def_11,xS) != sK5(iPr_def_11,xS) ) ),
inference(instantiation,[status(thm)],[c_6525]) ).
tcf(c_12798,plain,
sK5(iPr_def_11,xS) = sK5(iPr_def_11,xS),
inference(instantiation,[status(thm)],[c_4836]) ).
tcf(c_12799,plain,
( aElementOf0(sK5(iPr_def_11,xS),slcrc0)
| ~ aElementOf0(sK5(iPr_def_11,xS),xS)
| ( slcrc0 != xS )
| ( sK5(iPr_def_11,xS) != sK5(iPr_def_11,xS) ) ),
inference(instantiation,[status(thm)],[c_12797]) ).
tcf(c_13289,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_11)
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_18278,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( iPr_def_11 != X0 )
| ( slcrc0 != X0 ) ),
inference(instantiation,[status(thm)],[c_4838]) ).
tcf(c_18279,plain,
( ( slcrc0 = iPr_def_11 )
| ( iPr_def_11 != slcrc0 )
| ( slcrc0 != slcrc0 ) ),
inference(instantiation,[status(thm)],[c_18278]) ).
tcf(c_20234,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5584,c_56,c_5584]) ).
tcf(c_20246,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK4(X0),X2)
| ( X0 = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20234,c_57]) ).
tcf(c_20247,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtpldt0(sdtmndt0(X1,sK4(X0)),sK4(X0)) = X1 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20234,c_86]) ).
tcf(c_20248,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20234,c_49]) ).
tcf(c_20249,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_20234,c_52]) ).
tcf(c_20274,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20249,c_51]) ).
tcf(c_22045,plain,
~ aElementOf0(sK4(iPr_def_11),slcrc0),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_29106,plain,
( sP0(iPr_def_10,xS,xx)
| ~ aSet0(xS)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_4833,c_618]) ).
tcf(c_29115,plain,
sP0(iPr_def_10,xS,xx),
inference(forward_subsumption_resolution,[status(thm)],[c_29106,c_88,c_87]) ).
fof(f44,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X1,X0] :
( ~ sP1(X1,X0)
| ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> sP0(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP1(X1,X0) ),
inference(definition_folding,[],[f40,f45,f44]) ).
fof(f47,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& aSet0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X1,X0] :
( ~ sP3(X1,X0)
| ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f49,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sP3(X1,X0) ),
inference(definition_folding,[],[f42,f48,f47]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( ( X3 = X1
| aElementOf0(X3,X0) )
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| ( X1 != X3
& ~ aElementOf0(X3,X0) )
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP0(X2,X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( ( X2 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) ) )
& ( ( X2 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X0)
| ( ( X2 = X3
| aElementOf0(X3,X1) )
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X0)
| ( X2 != X3
& ~ aElementOf0(X3,X1) )
| ~ aElement0(X3) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( ( X2 = X4
| aElementOf0(X4,X1) )
& aElement0(X4) ) )
& ( ( X2 != X4
& ~ aElementOf0(X4,X1) )
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ( ( aElementOf0(sK6(X0,X1,X2),X0)
| ( ( sK6(X0,X1,X2) = X2
| aElementOf0(sK6(X0,X1,X2),X1) )
& aElement0(sK6(X0,X1,X2)) ) )
& ( ~ aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) != X2
& ~ aElementOf0(sK6(X0,X1,X2),X1) )
| ~ aElement0(sK6(X0,X1,X2)) ) )
| ~ aSet0(X0)
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f62]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ( ~ sP2(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ( ~ sP2(X2,X0,X1)
| ( ! [X3] :
( ( ~ aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,X2) ) )
& aSet0(X2) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X2)
| ( X3 != X1
& aElementOf0(X3,X0)
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) ) )
| ~ aSet0(X2)
| sP2(X2,X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ~ sP2(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( X2 != X4
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& ( X2 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ? [X3] :
( ( aElementOf0(X3,X0)
| ( X2 != X3
& aElementOf0(X3,X1)
& aElement0(X3) ) )
& ( ~ aElementOf0(X3,X0)
| X2 = X3
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3) ) )
| ~ aSet0(X0)
| sP2(X0,X1,X2) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( ~ sP2(X0,X1,X2)
| ( ! [X4] :
( ( ~ aElementOf0(X4,X0)
| ( X2 != X4
& aElementOf0(X4,X1)
& aElement0(X4) ) )
& ( X2 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ) )
& aSet0(X0) ) )
& ( ( ( aElementOf0(sK7(X0,X1,X2),X0)
| ( sK7(X0,X1,X2) != X2
& aElementOf0(sK7(X0,X1,X2),X1)
& aElement0(sK7(X0,X1,X2)) ) )
& ( ~ aElementOf0(sK7(X0,X1,X2),X0)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2)) ) )
| ~ aSet0(X0)
| sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f68]) ).
fof(f85,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| X2 = X4
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f86,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElement0(X4) ),
inference(cnf_transformation,[],[f63]) ).
fof(f87,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 != X4
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f90,plain,
! [X2,X0,X1] :
( aElementOf0(sK6(X0,X1,X2),X0)
| sK6(X0,X1,X2) = X2
| aElementOf0(sK6(X0,X1,X2),X1)
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f91,plain,
! [X2,X0,X1] :
( aElementOf0(sK6(X0,X1,X2),X0)
| aElement0(sK6(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK6(X0,X1,X2),X0)
| sK6(X0,X1,X2) != X2
| ~ aElement0(sK6(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK6(X0,X1,X2),X0)
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aSet0(X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f97,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| X2 != X4 ),
inference(cnf_transformation,[],[f69]) ).
fof(f98,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f99,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElement0(X4) ),
inference(cnf_transformation,[],[f69]) ).
fof(f100,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X1)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f102,plain,
! [X2,X0,X1] :
( aElementOf0(sK7(X0,X1,X2),X0)
| sK7(X0,X1,X2) != X2
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f103,plain,
! [X2,X0,X1] :
( aElementOf0(sK7(X0,X1,X2),X0)
| aElementOf0(sK7(X0,X1,X2),X1)
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f104,plain,
! [X2,X0,X1] :
( aElementOf0(sK7(X0,X1,X2),X0)
| aElement0(sK7(X0,X1,X2))
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ aElementOf0(sK7(X0,X1,X2),X0)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aSet0(X0)
| sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f115,plain,
! [X0,X1,X4] :
( ~ sP0(X0,X1,X4)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f117,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f97]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElementOf0(sK6(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElement0(sK6(X0,X1,X2))
| ~ aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X1)
| aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) = X2 )
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X2,X0)
| ~ aElement0(X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(X3)
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X1)
| ( X2 = X3 )
| ~ aElementOf0(X3,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sK7(X0,X1,X2) = X2 )
| ~ aSet0(X0)
| ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElementOf0(sK7(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElement0(sK7(X0,X1,X2))
| aElementOf0(sK7(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X1)
| aElementOf0(sK7(X0,X1,X2),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X0)
| ~ aSet0(X0)
| ( sK7(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSet0(X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X0)
| ( X2 = X3 )
| ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(X3)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ aElementOf0(X2,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElement0(sK7(X0,X1,X2))
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_77,c_49]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| ~ aSet0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_49]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sK7(X0,X1,X2) = X2 )
| ~ aSet0(X0)
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| ~ aElementOf0(sK7(X0,X1,X2),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_76,c_49]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sK6(X0,X1,X2),X1)
| ~ aElementOf0(sK6(X0,X1,X2),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_49]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ~ aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) != X2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_49]) ).
tcf(c_1568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( aElementOf0(X5,X2)
| ~ aSet0(X0)
| ~ aElement0(X5)
| ~ aElement0(X1)
| ~ aElementOf0(X5,X3)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sdtpldt0(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_69,c_618]) ).
tcf(c_1569,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(unflattening,[status(thm)],[c_1568]) ).
tcf(c_1570,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1569,c_49,c_1569]) ).
tcf(c_5523,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_618,c_71]) ).
tcf(c_5524,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_618,c_70]) ).
tcf(c_5525,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_618,c_68]) ).
tcf(c_5537,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5529,c_71]) ).
tcf(c_5538,plain,
( aElementOf0(xx,iPr_def_10)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_5529,c_70]) ).
tcf(c_5539,plain,
aSet0(iPr_def_10),
inference(superposition,[status(thm)],[c_5529,c_68]) ).
tcf(c_5540,plain,
aElementOf0(xx,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_5538,c_87]) ).
tcf(c_5614,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_618,c_69]) ).
tcf(c_5615,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5529,c_69]) ).
tcf(c_5625,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_5540,c_57]) ).
tcf(c_5626,plain,
( ( sdtpldt0(sdtmndt0(iPr_def_10,xx),xx) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5540,c_86]) ).
tcf(c_5631,plain,
( ( sdtpldt0(iPr_def_11,xx) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_5626,c_4834]) ).
tcf(c_5632,plain,
sdtpldt0(iPr_def_11,xx) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_5631,c_5539]) ).
tcf(c_5633,plain,
( aElementOf0(xx,slcrc0)
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_10,slcrc0) ),
inference(instantiation,[status(thm)],[c_5625]) ).
tcf(c_5638,plain,
( aElement0(sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_5537]) ).
tcf(c_5639,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElement0(sK5(X0,iPr_def_10))
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_5537]) ).
tcf(c_5641,plain,
( aElement0(sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5638,c_5539]) ).
tcf(c_5644,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElement0(sK5(X0,iPr_def_10))
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5639,c_5539]) ).
tcf(c_5648,plain,
( aSubsetOf0(iPr_def_10,slcrc0)
| aElement0(sK5(slcrc0,iPr_def_10))
| ~ aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[c_5644]) ).
tcf(c_5654,plain,
( sP0(iPr_def_10,iPr_def_11,xx)
| ~ aSet0(iPr_def_11)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_5632,c_618]) ).
tcf(c_5655,plain,
( sP0(iPr_def_10,iPr_def_11,xx)
| ~ aSet0(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5654,c_87]) ).
tcf(c_5666,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5655,c_69]) ).
tcf(c_5667,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5655,c_71]) ).
tcf(c_5694,plain,
( aElementOf0(sK4(xS),iPr_def_10)
| ( slcrc0 = xS )
| ~ aSet0(xS)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_50,c_5615]) ).
tcf(c_5695,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_10)
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_55,c_5615]) ).
tcf(c_5696,plain,
( aElementOf0(sK4(xS),iPr_def_10)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5694,c_88]) ).
tcf(c_5700,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_10)
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5695,c_88]) ).
tcf(c_5727,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSubsetOf0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_5524,c_57]) ).
tcf(c_5728,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X1),X1) = sdtpldt0(X0,X1) )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5524,c_86]) ).
tcf(c_5749,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(sdtpldt0(X0,X1)))
| ( sdtpldt0(X0,X1) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_50,c_5523]) ).
tcf(c_5750,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(sdtpldt0(X0,X1),X2)
| aElement0(sK5(X2,sdtpldt0(X0,X1)))
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_5523]) ).
tcf(c_5752,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aSet0(xS)
| ~ aElement0(xx)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_4833,c_5523]) ).
tcf(c_5753,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aSet0(iPr_def_11)
| ~ aElement0(xx)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5632,c_5523]) ).
tcf(c_5777,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ( X0 = X2 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_618,c_72]) ).
tcf(c_5778,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ( X0 = xx )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5529,c_72]) ).
tcf(c_5779,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = xx )
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5655,c_72]) ).
tcf(c_5802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X2,X0,X3)
| aElementOf0(sK7(X2,X0,X3),X2)
| aElementOf0(sK7(X2,X0,X3),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_57]) ).
tcf(c_5803,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X0)
| ( sdtpldt0(sdtmndt0(X1,sK7(X0,X1,X2)),sK7(X0,X1,X2)) = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_86]) ).
tcf(c_5804,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElement0(sK7(X0,X1,X2))
| aElementOf0(sK7(X0,X1,X2),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_49]) ).
tcf(c_5805,plain,
! [X0: $i,X1: $i] :
( sP2(X0,slcrc0,X1)
| aElementOf0(sK7(X0,slcrc0,X1),X0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_52]) ).
tcf(c_5806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X1,sdtpldt0(X2,X0),X3)
| aElement0(sK7(X1,sdtpldt0(X2,X0),X3))
| aElementOf0(sK7(X1,sdtpldt0(X2,X0),X3),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_78,c_5523]) ).
tcf(c_5807,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElement0(sK7(X0,iPr_def_10,X1))
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_5537]) ).
tcf(c_5808,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),iPr_def_10)
| aElementOf0(sK7(X0,xS,X1),X0)
| ~ aSet0(X0)
| ~ aElement0(sK7(X0,xS,X1)) ),
inference(superposition,[status(thm)],[c_78,c_5615]) ).
tcf(c_5809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,X2,X3)
| aElementOf0(sK7(X0,X2,X3),X2)
| aElementOf0(sK7(X0,X2,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_57]) ).
tcf(c_5810,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(X0,X1,X2)),sK7(X0,X1,X2)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_86]) ).
tcf(c_5811,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| aElement0(sK7(X0,X1,X2))
| aElementOf0(sK7(X0,X1,X2),X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_49]) ).
tcf(c_5812,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),X0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_78,c_52]) ).
tcf(c_5813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(sdtpldt0(X0,X1),X2,X3)
| aElement0(sK7(sdtpldt0(X0,X1),X2,X3))
| aElementOf0(sK7(sdtpldt0(X0,X1),X2,X3),X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_78,c_5523]) ).
tcf(c_5814,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElement0(sK7(iPr_def_10,X0,X1))
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_5537]) ).
tcf(c_5815,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| aElementOf0(sK7(xS,X0,X1),X0)
| ~ aSet0(xS)
| ~ aElement0(sK7(xS,X0,X1)) ),
inference(superposition,[status(thm)],[c_78,c_5615]) ).
tcf(c_5816,plain,
! [X0: $i,X1: $i] :
( sP2(X0,X0,X1)
| aElementOf0(sK7(X0,X0,X1),X0)
| ~ aSet0(X0) ),
inference(equality_factoring,[status(thm)],[c_78]) ).
tcf(c_5821,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5812,c_51]) ).
tcf(c_5827,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElement0(sK7(iPr_def_10,X0,X1))
| aElementOf0(sK7(iPr_def_10,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5814,c_5539]) ).
tcf(c_5844,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| aElementOf0(sK7(xS,X0,X1),X0)
| ~ aElement0(sK7(xS,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5815,c_88]) ).
tcf(c_5922,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5821,c_57]) ).
tcf(c_5923,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(slcrc0,X0,X1)),sK7(slcrc0,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_86]) ).
tcf(c_5924,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_49]) ).
tcf(c_5925,plain,
! [X0: $i] : sP2(slcrc0,slcrc0,X0),
inference(superposition,[status(thm)],[c_5821,c_52]) ).
tcf(c_5926,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,sdtpldt0(X1,X0),X2)
| aElement0(sK7(slcrc0,sdtpldt0(X1,X0),X2))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_5523]) ).
tcf(c_5927,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| aElement0(sK7(slcrc0,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_5821,c_5537]) ).
tcf(c_5928,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),iPr_def_10)
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5821,c_5615]) ).
tcf(c_5974,plain,
( aElementOf0(sK4(iPr_def_10),xS)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_5778]) ).
tcf(c_5975,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),xS)
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_5778]) ).
tcf(c_5976,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),xS)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sK7(X0,iPr_def_10,X1) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_5778]) ).
tcf(c_5977,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),xS)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK7(iPr_def_10,X0,X1) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_5778]) ).
tcf(c_5979,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| aElementOf0(sK7(slcrc0,iPr_def_10,X0),xS)
| ( sK7(slcrc0,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_5821,c_5778]) ).
tcf(c_5980,plain,
( aElementOf0(sK4(iPr_def_10),xS)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5974,c_5539]) ).
tcf(c_5987,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),xS)
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5975,c_5539]) ).
tcf(c_5992,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),xS)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK7(iPr_def_10,X0,X1) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5977,c_5539]) ).
tcf(c_6016,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtmndt0(X1,X2))
| ( X0 = X2 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_652,c_81]) ).
tcf(c_6017,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_652,c_83]) ).
tcf(c_6018,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_652,c_82]) ).
tcf(c_6019,plain,
! [X0: $i,X1: $i] :
( ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,sdtmndt0(X1,X0)) ),
inference(superposition,[status(thm)],[c_652,c_84]) ).
tcf(c_6020,plain,
! [X0: $i,X1: $i] :
( aSet0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_652,c_80]) ).
tcf(c_6024,plain,
sP2(iPr_def_11,iPr_def_10,xx),
inference(forward_subsumption_resolution,[status(thm)],[c_6015,c_5539,c_87]) ).
tcf(c_6054,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = xx )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6024,c_81]) ).
tcf(c_6055,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6024,c_83]) ).
tcf(c_6056,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6024,c_82]) ).
tcf(c_6057,plain,
~ aElementOf0(xx,iPr_def_11),
inference(superposition,[status(thm)],[c_6024,c_84]) ).
tcf(c_6058,plain,
aSet0(iPr_def_11),
inference(superposition,[status(thm)],[c_6024,c_80]) ).
tcf(c_6067,plain,
sP0(iPr_def_10,iPr_def_11,xx),
inference(backward_subsumption_resolution,[status(thm)],[c_5655,c_6058]) ).
tcf(c_6071,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = xx )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6067,c_72]) ).
tcf(c_6072,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6067,c_69]) ).
tcf(c_6087,plain,
( aElement0(sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_6056]) ).
tcf(c_6088,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElement0(sK5(X0,iPr_def_11))
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_6056]) ).
tcf(c_6089,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElement0(sK7(X0,iPr_def_11,X1))
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6056]) ).
tcf(c_6090,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_6056]) ).
tcf(c_6091,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| aElement0(sK7(slcrc0,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_5821,c_6056]) ).
tcf(c_6094,plain,
( aElement0(sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6087,c_6058]) ).
tcf(c_6097,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElement0(sK5(X0,iPr_def_11))
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6088,c_6058]) ).
tcf(c_6101,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| aElementOf0(sK7(iPr_def_11,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6090,c_6058]) ).
tcf(c_6110,plain,
( aSubsetOf0(iPr_def_11,slcrc0)
| aElement0(sK5(slcrc0,iPr_def_11))
| ~ aSet0(slcrc0) ),
inference(instantiation,[status(thm)],[c_6097]) ).
tcf(c_6123,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_10)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_6055]) ).
tcf(c_6124,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_10)
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_6055]) ).
tcf(c_6125,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),iPr_def_10)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6055]) ).
tcf(c_6126,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_6055]) ).
tcf(c_6127,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| aElementOf0(sK7(slcrc0,iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_5821,c_6055]) ).
tcf(c_6130,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_10)
| ( slcrc0 = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6123,c_6058]) ).
tcf(c_6133,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_10)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6124,c_6058]) ).
tcf(c_6137,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6126,c_6058]) ).
tcf(c_6196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X0,X3)
| aElementOf0(sK6(X2,X0,X3),X2)
| aElementOf0(sK6(X2,X0,X3),X1)
| ( sK6(X2,X0,X3) = X3 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_67,c_57]) ).
tcf(c_6197,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) = X2 )
| ( sdtpldt0(sdtmndt0(X1,sK6(X0,X1,X2)),sK6(X0,X1,X2)) = X1 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_86]) ).
tcf(c_6198,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) = X2 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_49]) ).
tcf(c_6199,plain,
! [X0: $i,X1: $i] :
( sP0(X0,slcrc0,X1)
| aElementOf0(sK6(X0,slcrc0,X1),X0)
| ( sK6(X0,slcrc0,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_52]) ).
tcf(c_6201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sdtpldt0(X2,X0),X3)
| aElement0(sK6(X1,sdtpldt0(X2,X0),X3))
| aElementOf0(sK6(X1,sdtpldt0(X2,X0),X3),X1)
| ( sK6(X1,sdtpldt0(X2,X0),X3) = X3 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_67,c_5523]) ).
tcf(c_6202,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),xS)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = xx )
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_5778]) ).
tcf(c_6203,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElement0(sK6(X0,iPr_def_10,X1))
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_5537]) ).
tcf(c_6204,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),iPr_def_10)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ~ aSet0(X0)
| ~ aElement0(sK6(X0,xS,X1)) ),
inference(superposition,[status(thm)],[c_67,c_5615]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),iPr_def_10)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_6055]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElement0(sK6(X0,iPr_def_11,X1))
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_6056]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X2,X3)
| aElementOf0(sK6(X0,X2,X3),X2)
| aElementOf0(sK6(X0,X2,X3),X1)
| ( sK6(X0,X2,X3) = X3 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_67,c_57]) ).
tcf(c_6208,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X1)
| ( sK6(X0,X1,X2) = X2 )
| ( sdtpldt0(sdtmndt0(X0,sK6(X0,X1,X2)),sK6(X0,X1,X2)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_86]) ).
tcf(c_6209,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| aElement0(sK6(X0,X1,X2))
| aElementOf0(sK6(X0,X1,X2),X1)
| ( sK6(X0,X1,X2) = X2 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_49]) ).
tcf(c_6210,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,X0,X1)
| aElementOf0(sK6(slcrc0,X0,X1),X0)
| ( sK6(slcrc0,X0,X1) = X1 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_67,c_52]) ).
tcf(c_6212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtpldt0(X0,X1),X2,X3)
| aElement0(sK6(sdtpldt0(X0,X1),X2,X3))
| aElementOf0(sK6(sdtpldt0(X0,X1),X2,X3),X2)
| ( sK6(sdtpldt0(X0,X1),X2,X3) = X3 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_5523]) ).
tcf(c_6213,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),xS)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = xx )
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_5778]) ).
tcf(c_6214,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElement0(sK6(iPr_def_10,X0,X1))
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_5537]) ).
tcf(c_6215,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),iPr_def_10)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ~ aSet0(xS)
| ~ aElement0(sK6(xS,X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_5615]) ).
tcf(c_6216,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),iPr_def_10)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_6055]) ).
tcf(c_6217,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElement0(sK6(iPr_def_11,X0,X1))
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_6056]) ).
tcf(c_6218,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X0,X1)
| aElementOf0(sK6(X0,X0,X1),X0)
| ( sK6(X0,X0,X1) = X1 )
| ~ aSet0(X0) ),
inference(equality_factoring,[status(thm)],[c_67]) ).
tcf(c_6224,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,X0,X1)
| aElementOf0(sK6(slcrc0,X0,X1),X0)
| ( sK6(slcrc0,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6210,c_51]) ).
tcf(c_6232,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElement0(sK6(iPr_def_11,X0,X1))
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6217,c_6058]) ).
tcf(c_6237,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElement0(sK6(iPr_def_10,X0,X1))
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6214,c_5539]) ).
tcf(c_6257,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),iPr_def_10)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6216,c_6058]) ).
tcf(c_6273,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),iPr_def_10)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ~ aElement0(sK6(xS,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6215,c_88]) ).
tcf(c_6285,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),xS)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = xx )
| ( sK6(iPr_def_10,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6213,c_5539]) ).
tcf(c_6382,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK7(slcrc0,X0,X1) = X1 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(slcrc0,X0,X1),slcrc0) ),
inference(superposition,[status(thm)],[c_5821,c_158]) ).
tcf(c_6387,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6130,c_57]) ).
tcf(c_6388,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(iPr_def_11)),sK4(iPr_def_11)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6130,c_86]) ).
tcf(c_6390,plain,
( aElementOf0(sK4(iPr_def_11),xS)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx ) ),
inference(superposition,[status(thm)],[c_6130,c_5778]) ).
tcf(c_6399,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(iPr_def_11)),sK4(iPr_def_11)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6388,c_5539]) ).
tcf(c_6422,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElementOf0(sK7(slcrc0,iPr_def_11,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6127,c_57]) ).
tcf(c_6423,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,iPr_def_11,X0)),sK7(slcrc0,iPr_def_11,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6127,c_86]) ).
tcf(c_6425,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| aElementOf0(sK7(slcrc0,iPr_def_11,X0),xS)
| ( sK7(slcrc0,iPr_def_11,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6127,c_5778]) ).
tcf(c_6434,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,iPr_def_11,X0)),sK7(slcrc0,iPr_def_11,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6423,c_5539]) ).
tcf(c_6446,plain,
( aElementOf0(sK4(iPr_def_10),iPr_def_11)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_6071]) ).
tcf(c_6447,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),iPr_def_11)
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_6071]) ).
tcf(c_6448,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),iPr_def_11)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = xx )
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_6071]) ).
tcf(c_6449,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),iPr_def_11)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = xx )
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_6071]) ).
tcf(c_6450,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),iPr_def_11)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sK7(X0,iPr_def_10,X1) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6071]) ).
tcf(c_6451,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),iPr_def_11)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK7(iPr_def_10,X0,X1) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_6071]) ).
tcf(c_6453,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| aElementOf0(sK7(slcrc0,iPr_def_10,X0),iPr_def_11)
| ( sK7(slcrc0,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_5821,c_6071]) ).
tcf(c_6454,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx ) ),
inference(superposition,[status(thm)],[c_6130,c_6071]) ).
tcf(c_6455,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| aElementOf0(sK7(slcrc0,iPr_def_11,X0),iPr_def_11)
| ( sK7(slcrc0,iPr_def_11,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6127,c_6071]) ).
tcf(c_6459,plain,
( aElementOf0(sK4(iPr_def_10),iPr_def_11)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6446,c_5539]) ).
tcf(c_6469,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),iPr_def_11)
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6447,c_5539]) ).
tcf(c_6474,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),iPr_def_11)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK7(iPr_def_10,X0,X1) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6451,c_5539]) ).
tcf(c_6484,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),iPr_def_11)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = xx )
| ( sK6(iPr_def_10,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6449,c_5539]) ).
tcf(c_6533,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X1)
| aElementOf0(sK5(X1,iPr_def_11),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6133,c_57]) ).
tcf(c_6534,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,iPr_def_11)),sK5(X0,iPr_def_11)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_86]) ).
tcf(c_6535,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElement0(sK5(X0,iPr_def_11))
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_49]) ).
tcf(c_6536,plain,
( aSubsetOf0(iPr_def_11,iPr_def_10)
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6133,c_54]) ).
tcf(c_6537,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_11)
| ( sK5(X0,iPr_def_11) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_6071]) ).
tcf(c_6538,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),xS)
| ( sK5(X0,iPr_def_11) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_5778]) ).
tcf(c_6540,plain,
aSubsetOf0(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6536,c_6058,c_5539]) ).
tcf(c_6555,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,iPr_def_11)),sK5(X0,iPr_def_11)) = iPr_def_10 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6534,c_5539]) ).
tcf(c_6608,plain,
! [X0: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS))
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_5696,c_57]) ).
tcf(c_6609,plain,
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(xS)),sK4(xS)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_86]) ).
tcf(c_6611,plain,
( aElementOf0(sK4(xS),iPr_def_11)
| ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_6071]) ).
tcf(c_6612,plain,
( aElementOf0(sK4(xS),xS)
| ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_5778]) ).
tcf(c_6627,plain,
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(xS)),sK4(xS)) = iPr_def_10 )
| ~ aElement0(sK4(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6609,c_5539]) ).
tcf(c_6724,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aElementOf0(X0,iPr_def_10)
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_6399,c_5523]) ).
tcf(c_6727,plain,
( sP0(iPr_def_10,sdtmndt0(iPr_def_10,sK4(iPr_def_11)),sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_6399,c_618]) ).
tcf(c_6745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,slcrc0,X2)
| aElementOf0(sK7(X0,slcrc0,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5805,c_57]) ).
tcf(c_6746,plain,
! [X0: $i,X1: $i] :
( sP2(X0,slcrc0,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(X0,slcrc0,X1)),sK7(X0,slcrc0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5805,c_86]) ).
tcf(c_6747,plain,
! [X0: $i,X1: $i] :
( sP2(X0,slcrc0,X1)
| aElement0(sK7(X0,slcrc0,X1))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5805,c_49]) ).
tcf(c_6750,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(sdtpldt0(X0,X1),slcrc0,X2)
| aElement0(sK7(sdtpldt0(X0,X1),slcrc0,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5805,c_5523]) ).
tcf(c_6751,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElementOf0(sK7(iPr_def_10,slcrc0,X0),iPr_def_11)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_6071]) ).
tcf(c_6752,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElementOf0(sK7(iPr_def_10,slcrc0,X0),xS)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_5778]) ).
tcf(c_6753,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElement0(sK7(iPr_def_10,slcrc0,X0))
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_5537]) ).
tcf(c_6754,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),iPr_def_10)
| ~ aSet0(xS)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_5805,c_5615]) ).
tcf(c_6755,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| aElementOf0(sK7(iPr_def_11,slcrc0,X0),iPr_def_10)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_6055]) ).
tcf(c_6756,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| aElement0(sK7(iPr_def_11,slcrc0,X0))
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_6056]) ).
tcf(c_6757,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6756,c_6058]) ).
tcf(c_6760,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElement0(sK7(iPr_def_10,slcrc0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6753,c_5539]) ).
tcf(c_6766,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| aElementOf0(sK7(iPr_def_11,slcrc0,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6755,c_6058]) ).
tcf(c_6769,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),iPr_def_10)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6754,c_88]) ).
tcf(c_6773,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElementOf0(sK7(iPr_def_10,slcrc0,X0),xS)
| ( sK7(iPr_def_10,slcrc0,X0) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6752,c_5539]) ).
tcf(c_6777,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElementOf0(sK7(iPr_def_10,slcrc0,X0),iPr_def_11)
| ( sK7(iPr_def_10,slcrc0,X0) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6751,c_5539]) ).
tcf(c_6820,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X0,X2)
| aElementOf0(sK7(X0,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5816,c_57]) ).
tcf(c_6821,plain,
! [X0: $i,X1: $i] :
( sP2(X0,X0,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(X0,X0,X1)),sK7(X0,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5816,c_86]) ).
tcf(c_6822,plain,
! [X0: $i,X1: $i] :
( sP2(X0,X0,X1)
| aElement0(sK7(X0,X0,X1))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5816,c_49]) ).
tcf(c_6824,plain,
! [X0: $i,X1: $i] :
( sP2(X0,X0,X1)
| ( sK7(X0,X0,X1) = X1 )
| ~ aSet0(X0)
| ~ aElementOf0(sK7(X0,X0,X1),X0) ),
inference(superposition,[status(thm)],[c_5816,c_158]) ).
tcf(c_6825,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(sdtpldt0(X0,X1),sdtpldt0(X0,X1),X2)
| aElement0(sK7(sdtpldt0(X0,X1),sdtpldt0(X0,X1),X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5816,c_5523]) ).
tcf(c_6826,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),iPr_def_11)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_6071]) ).
tcf(c_6827,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),xS)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_5778]) ).
tcf(c_6828,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElement0(sK7(iPr_def_10,iPr_def_10,X0))
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_5537]) ).
tcf(c_6829,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),iPr_def_10)
| ~ aSet0(xS)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_5816,c_5615]) ).
tcf(c_6830,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_10)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_6055]) ).
tcf(c_6831,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| aElement0(sK7(iPr_def_11,iPr_def_11,X0))
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_6056]) ).
tcf(c_6832,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| aElement0(sK7(iPr_def_11,iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6831,c_6058]) ).
tcf(c_6835,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElement0(sK7(iPr_def_10,iPr_def_10,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6828,c_5539]) ).
tcf(c_6841,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6830,c_6058]) ).
tcf(c_6844,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),iPr_def_10)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6829,c_88]) ).
tcf(c_6848,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),xS)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6827,c_5539]) ).
tcf(c_6852,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),iPr_def_11)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6826,c_5539]) ).
tcf(c_6880,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6691,c_71]) ).
tcf(c_6882,plain,
aSet0(iPr_def_10),
inference(superposition,[status(thm)],[c_6691,c_68]) ).
tcf(c_6908,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6766,c_57]) ).
tcf(c_6909,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,slcrc0,X0)),sK7(iPr_def_11,slcrc0,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6766,c_86]) ).
tcf(c_6911,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| aElementOf0(sK7(iPr_def_11,slcrc0,X0),iPr_def_11)
| ( sK7(iPr_def_11,slcrc0,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6766,c_6071]) ).
tcf(c_6912,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| aElementOf0(sK7(iPr_def_11,slcrc0,X0),xS)
| ( sK7(iPr_def_11,slcrc0,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6766,c_5778]) ).
tcf(c_6924,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,slcrc0,X0)),sK7(iPr_def_11,slcrc0,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6909,c_5539]) ).
tcf(c_6966,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6841,c_57]) ).
tcf(c_6967,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)),sK7(iPr_def_11,iPr_def_11,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6841,c_86]) ).
tcf(c_6969,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_11)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6841,c_6071]) ).
tcf(c_6970,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),xS)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6841,c_5778]) ).
tcf(c_6982,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)),sK7(iPr_def_11,iPr_def_11,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6967,c_5539]) ).
tcf(c_7027,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_5980,c_57]) ).
tcf(c_7028,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK4(iPr_def_10)),sK4(iPr_def_10)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5980,c_86]) ).
tcf(c_7030,plain,
( aElementOf0(sK4(iPr_def_10),iPr_def_10)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_5980,c_5615]) ).
tcf(c_7040,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK4(iPr_def_10)),sK4(iPr_def_10)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7028,c_88]) ).
tcf(c_7051,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6390,c_57]) ).
tcf(c_7052,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK4(iPr_def_11)),sK4(iPr_def_11)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6390,c_86]) ).
tcf(c_7060,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK4(iPr_def_11)),sK4(iPr_def_11)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7052,c_88]) ).
tcf(c_7079,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6454,c_57]) ).
tcf(c_7080,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(iPr_def_11)),sK4(iPr_def_11)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6454,c_86]) ).
tcf(c_7089,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(iPr_def_11)),sK4(iPr_def_11)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7080,c_6058]) ).
tcf(c_7100,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6459,c_57]) ).
tcf(c_7101,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(iPr_def_10)),sK4(iPr_def_10)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6459,c_86]) ).
tcf(c_7103,plain,
( aElementOf0(sK4(iPr_def_10),iPr_def_10)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx ) ),
inference(superposition,[status(thm)],[c_6459,c_6055]) ).
tcf(c_7113,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(iPr_def_10)),sK4(iPr_def_10)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7101,c_6058]) ).
tcf(c_7124,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_7103,c_57]) ).
tcf(c_7125,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(iPr_def_10)),sK4(iPr_def_10)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_7103,c_86]) ).
tcf(c_7135,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(iPr_def_10)),sK4(iPr_def_10)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7125,c_5539]) ).
tcf(c_7167,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10))
| ~ aElementOf0(X0,xS)
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7040,c_5523]) ).
tcf(c_7170,plain,
( sP0(xS,sdtmndt0(xS,sK4(iPr_def_10)),sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7040,c_618]) ).
tcf(c_7206,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(sdtmndt0(X0,X1)))
| ( sdtmndt0(X0,X1) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_50,c_6018]) ).
tcf(c_7207,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(sdtmndt0(X0,X1),X2)
| aElement0(sK5(X2,sdtmndt0(X0,X1)))
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_6018]) ).
tcf(c_7208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sdtmndt0(X2,X0),X3)
| aElement0(sK6(X1,sdtmndt0(X2,X0),X3))
| aElementOf0(sK6(X1,sdtmndt0(X2,X0),X3),X1)
| ( sK6(X1,sdtmndt0(X2,X0),X3) = X3 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_67,c_6018]) ).
tcf(c_7209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtmndt0(X0,X1),X2,X3)
| aElement0(sK6(sdtmndt0(X0,X1),X2,X3))
| aElementOf0(sK6(sdtmndt0(X0,X1),X2,X3),X2)
| ( sK6(sdtmndt0(X0,X1),X2,X3) = X3 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_6018]) ).
tcf(c_7210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X1,sdtmndt0(X2,X0),X3)
| aElement0(sK7(X1,sdtmndt0(X2,X0),X3))
| aElementOf0(sK7(X1,sdtmndt0(X2,X0),X3),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6018]) ).
tcf(c_7211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(sdtmndt0(X0,X1),X2,X3)
| aElement0(sK7(sdtmndt0(X0,X1),X2,X3))
| aElementOf0(sK7(sdtmndt0(X0,X1),X2,X3),X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_78,c_6018]) ).
tcf(c_7212,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(sdtmndt0(X0,X1),slcrc0,X2)
| aElement0(sK7(sdtmndt0(X0,X1),slcrc0,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5805,c_6018]) ).
tcf(c_7213,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,sdtmndt0(X1,X0),X2)
| aElement0(sK7(slcrc0,sdtmndt0(X1,X0),X2))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_6018]) ).
tcf(c_7214,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(sdtmndt0(X0,X1),sdtmndt0(X0,X1),X2)
| aElement0(sK7(sdtmndt0(X0,X1),sdtmndt0(X0,X1),X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5816,c_6018]) ).
tcf(c_7215,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aSet0(iPr_def_10)
| ~ aElement0(xx)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_4834,c_6018]) ).
tcf(c_7292,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_6691,c_69]) ).
tcf(c_7313,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6540,c_109]) ).
tcf(c_7314,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7313,c_5539]) ).
tcf(c_7342,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,X0,X2)
| aElement0(sK7(iPr_def_10,X0,X2))
| aElementOf0(sK7(iPr_def_10,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5827,c_57]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElement0(sK7(iPr_def_10,X0,X1))
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_10,X0,X1)),sK7(iPr_def_10,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_86]) ).
tcf(c_7344,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElement0(sK7(iPr_def_10,X0,X1))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_49]) ).
tcf(c_7346,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElement0(sK7(iPr_def_10,X0,X1))
| ( sK7(iPr_def_10,X0,X1) = X1 )
| ~ aSet0(iPr_def_10)
| ~ aElementOf0(sK7(iPr_def_10,X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_5827,c_158]) ).
tcf(c_7347,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,sdtmndt0(X1,X0),X2)
| aElement0(sK7(iPr_def_10,sdtmndt0(X1,X0),X2))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_6018]) ).
tcf(c_7348,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,sdtpldt0(X1,X0),X2)
| aElement0(sK7(iPr_def_10,sdtpldt0(X1,X0),X2))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_5523]) ).
tcf(c_7354,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_11,X0)
| aElement0(sK7(iPr_def_10,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_5827,c_6056]) ).
tcf(c_7373,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElement0(sK7(iPr_def_10,X0,X1))
| ( sK7(iPr_def_10,X0,X1) = X1 )
| ~ aElementOf0(sK7(iPr_def_10,X0,X1),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7346,c_5539]) ).
tcf(c_7434,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(sdtmndt0(X0,X1)),X0)
| ( sdtmndt0(X0,X1) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_50,c_6017]) ).
tcf(c_7435,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(sdtmndt0(X0,X1),X2)
| aElementOf0(sK5(X2,sdtmndt0(X0,X1)),X0)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_6017]) ).
tcf(c_7436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X1,sdtmndt0(X2,X0),X3)
| aElementOf0(sK6(X1,sdtmndt0(X2,X0),X3),X2)
| aElementOf0(sK6(X1,sdtmndt0(X2,X0),X3),X1)
| ( sK6(X1,sdtmndt0(X2,X0),X3) = X3 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_67,c_6017]) ).
tcf(c_7437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sdtmndt0(X0,X1),X2,X3)
| aElementOf0(sK6(sdtmndt0(X0,X1),X2,X3),X2)
| aElementOf0(sK6(sdtmndt0(X0,X1),X2,X3),X0)
| ( sK6(sdtmndt0(X0,X1),X2,X3) = X3 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_67,c_6017]) ).
tcf(c_7438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X1,sdtmndt0(X2,X0),X3)
| aElementOf0(sK7(X1,sdtmndt0(X2,X0),X3),X2)
| aElementOf0(sK7(X1,sdtmndt0(X2,X0),X3),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6017]) ).
tcf(c_7439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(sdtmndt0(X0,X1),X2,X3)
| aElementOf0(sK7(sdtmndt0(X0,X1),X2,X3),X2)
| aElementOf0(sK7(sdtmndt0(X0,X1),X2,X3),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_78,c_6017]) ).
tcf(c_7440,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(sdtmndt0(X0,X1),slcrc0,X2)
| aElementOf0(sK7(sdtmndt0(X0,X1),slcrc0,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5805,c_6017]) ).
tcf(c_7441,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,sdtmndt0(X1,X0),X2)
| aElementOf0(sK7(slcrc0,sdtmndt0(X1,X0),X2),X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_6017]) ).
tcf(c_7442,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,sdtmndt0(X1,X0),X2)
| aElement0(sK7(iPr_def_10,sdtmndt0(X1,X0),X2))
| aElementOf0(sK7(iPr_def_10,sdtmndt0(X1,X0),X2),X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_6017]) ).
tcf(c_7443,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(sdtmndt0(X0,X1),sdtmndt0(X0,X1),X2)
| aElementOf0(sK7(sdtmndt0(X0,X1),sdtmndt0(X0,X1),X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5816,c_6017]) ).
tcf(c_7444,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aElement0(xx)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_4834,c_6017]) ).
tcf(c_7528,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X0,X2)
| aElement0(sK7(iPr_def_11,X0,X2))
| aElementOf0(sK7(iPr_def_11,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6101,c_57]) ).
tcf(c_7529,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_11,X0,X1)),sK7(iPr_def_11,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_86]) ).
tcf(c_7530,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_49]) ).
tcf(c_7532,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| ( sK7(iPr_def_11,X0,X1) = X1 )
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_6101,c_158]) ).
tcf(c_7533,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,sdtmndt0(X1,X0),X2)
| aElement0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2))
| aElementOf0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2),X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_6017]) ).
tcf(c_7534,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,sdtmndt0(X1,X0),X2)
| aElement0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_6018]) ).
tcf(c_7535,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,sdtpldt0(X1,X0),X2)
| aElement0(sK7(iPr_def_11,sdtpldt0(X1,X0),X2))
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_5523]) ).
tcf(c_7538,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| aElement0(sK7(iPr_def_11,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_6101,c_5537]) ).
tcf(c_7560,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| ( sK7(iPr_def_11,X0,X1) = X1 )
| ~ aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7532,c_6058]) ).
tcf(c_7631,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_11),X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6387,c_57]) ).
tcf(c_7632,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtpldt0(sdtmndt0(X0,sK4(iPr_def_11)),sK4(iPr_def_11)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6387,c_86]) ).
tcf(c_7634,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_10,slcrc0) ),
inference(superposition,[status(thm)],[c_6387,c_52]) ).
tcf(c_7635,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(X0,sK4(iPr_def_11)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_6387,c_6019]) ).
tcf(c_7636,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6387,c_6017]) ).
tcf(c_7645,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSubsetOf0(iPr_def_10,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7634,c_51]) ).
tcf(c_7684,plain,
~ aSubsetOf0(iPr_def_10,slcrc0),
inference(global_subsumption_just,[status(thm)],[c_7645,c_51,c_5633,c_6154]) ).
tcf(c_7703,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_57]) ).
tcf(c_7704,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,xS)),sK5(X0,xS)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_86]) ).
tcf(c_7706,plain,
( aSubsetOf0(xS,iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS)
| ~ aElement0(sK5(iPr_def_10,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_54]) ).
tcf(c_7707,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_11)
| ( sK5(X0,xS) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_6071]) ).
tcf(c_7708,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),xS)
| ( sK5(X0,xS) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_5778]) ).
tcf(c_7710,plain,
( aSubsetOf0(xS,iPr_def_10)
| ~ aElement0(sK5(iPr_def_10,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7706,c_5539,c_88]) ).
tcf(c_7729,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,xS)),sK5(X0,xS)) = iPr_def_10 )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7704,c_5539]) ).
tcf(c_7755,plain,
( aElementOf0(sK4(xS),iPr_def_10)
| ( slcrc0 = xS )
| ~ aSet0(xS)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_50,c_7292]) ).
tcf(c_7757,plain,
( aElementOf0(sK4(xS),iPr_def_10)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7755,c_88]) ).
tcf(c_7778,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aElement0(sK4(iPr_def_11))
| ~ aElementOf0(X0,xS)
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_7060,c_5523]) ).
tcf(c_7781,plain,
( sP0(xS,sdtmndt0(xS,sK4(iPr_def_11)),sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_7060,c_618]) ).
tcf(c_7798,plain,
( aSubsetOf0(xS,iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5563,c_7710]) ).
tcf(c_7799,plain,
aSubsetOf0(xS,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_7798,c_5539,c_88]) ).
tcf(c_7806,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| aElementOf0(sK7(iPr_def_11,X1,X2),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6137,c_57]) ).
tcf(c_7807,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,X0,X1)),sK7(iPr_def_11,X0,X1)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6137,c_86]) ).
tcf(c_7810,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_11)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK7(iPr_def_11,X0,X1) = xx ) ),
inference(superposition,[status(thm)],[c_6137,c_6071]) ).
tcf(c_7811,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),xS)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK7(iPr_def_11,X0,X1) = xx ) ),
inference(superposition,[status(thm)],[c_6137,c_5778]) ).
tcf(c_7813,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X0,X2)
| aElementOf0(sK7(iPr_def_11,X0,X2),iPr_def_10)
| aElementOf0(sK7(iPr_def_11,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6137,c_57]) ).
tcf(c_7814,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_11,X0,X1)),sK7(iPr_def_11,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_86]) ).
tcf(c_7815,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElement0(sK7(iPr_def_11,X0,X1))
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_49]) ).
tcf(c_7817,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| ( sK7(iPr_def_11,X0,X1) = X1 )
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_6137,c_158]) ).
tcf(c_7818,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,sdtmndt0(X1,X0),X2)
| aElementOf0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2),iPr_def_10)
| aElementOf0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2),X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_6017]) ).
tcf(c_7819,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,sdtmndt0(X1,X0),X2)
| aElement0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2))
| aElementOf0(sK7(iPr_def_11,sdtmndt0(X1,X0),X2),iPr_def_10)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_6018]) ).
tcf(c_7820,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,sdtpldt0(X1,X0),X2)
| aElement0(sK7(iPr_def_11,sdtpldt0(X1,X0),X2))
| aElementOf0(sK7(iPr_def_11,sdtpldt0(X1,X0),X2),iPr_def_10)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_5523]) ).
tcf(c_7824,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_10)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_6137,c_5615]) ).
tcf(c_7827,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),iPr_def_10) ),
inference(equality_factoring,[status(thm)],[c_6137]) ).
tcf(c_7870,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| ( sK7(iPr_def_11,X0,X1) = X1 )
| ~ aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7817,c_6058]) ).
tcf(c_7879,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,X0,X1)),sK7(iPr_def_11,X0,X1)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7807,c_5539]) ).
tcf(c_7954,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6540,c_111]) ).
tcf(c_7955,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7954,c_5539]) ).
tcf(c_8002,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_7799,c_111]) ).
tcf(c_8003,plain,
( ( xS = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_7799,c_109]) ).
tcf(c_8005,plain,
( ( xS = iPr_def_10 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8003,c_5539]) ).
tcf(c_8008,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8002,c_5539]) ).
tcf(c_8042,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_7827,c_57]) ).
tcf(c_8043,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)),sK7(iPr_def_11,iPr_def_10,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_7827,c_86]) ).
tcf(c_8045,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_7827,c_158]) ).
tcf(c_8046,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),iPr_def_11)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_7827,c_6071]) ).
tcf(c_8047,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),xS)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_7827,c_5778]) ).
tcf(c_8059,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = X0 )
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8045,c_6058]) ).
tcf(c_8063,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)),sK7(iPr_def_11,iPr_def_10,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8043,c_5539]) ).
tcf(c_8077,plain,
( aSubsetOf0(slcrc0,iPr_def_10)
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_5565,c_7955]) ).
tcf(c_8078,plain,
aSubsetOf0(slcrc0,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_8077,c_6058,c_51]) ).
tcf(c_8079,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_8078,c_111]) ).
tcf(c_8082,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8079,c_5539]) ).
tcf(c_8147,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5928,c_57]) ).
tcf(c_8148,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,xS,X0)),sK7(slcrc0,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5928,c_86]) ).
tcf(c_8150,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),iPr_def_11)
| ( sK7(slcrc0,xS,X0) = xx )
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5928,c_6071]) ).
tcf(c_8151,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),xS)
| ( sK7(slcrc0,xS,X0) = xx )
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5928,c_5778]) ).
tcf(c_8166,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,xS,X0)),sK7(slcrc0,xS,X0)) = iPr_def_10 )
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8148,c_5539]) ).
tcf(c_8179,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_57]) ).
tcf(c_8180,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_86]) ).
tcf(c_8182,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),iPr_def_11)
| ( sK7(xS,slcrc0,X0) = xx )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_6071]) ).
tcf(c_8183,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),xS)
| ( sK7(xS,slcrc0,X0) = xx )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_5778]) ).
tcf(c_8198,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = iPr_def_10 )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8180,c_5539]) ).
tcf(c_8229,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_57]) ).
tcf(c_8230,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_86]) ).
tcf(c_8232,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),iPr_def_11)
| ( sK7(xS,xS,X0) = xx )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_6071]) ).
tcf(c_8233,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),xS)
| ( sK7(xS,xS,X0) = xx )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_5778]) ).
tcf(c_8248,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = iPr_def_10 )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8230,c_5539]) ).
tcf(c_8264,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ( X0 = xx )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6691,c_72]) ).
tcf(c_8283,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aElement0(sK4(iPr_def_11))
| ~ aElementOf0(X0,iPr_def_11)
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_7089,c_5523]) ).
tcf(c_8286,plain,
( sP0(iPr_def_11,sdtmndt0(iPr_def_11,sK4(iPr_def_11)),sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_7089,c_618]) ).
tcf(c_8329,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5925,c_664]) ).
tcf(c_8330,plain,
( ( sdtmndt0(iPr_def_10,xx) = iPr_def_11 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_6024,c_664]) ).
tcf(c_8331,plain,
sdtmndt0(iPr_def_10,xx) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_8330,c_5539,c_87]) ).
tcf(c_8332,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8329,c_51]) ).
tcf(c_8344,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtpldt0(sdtmndt0(sdtmndt0(X1,X0),sK4(sdtmndt0(X1,X0))),sK4(sdtmndt0(X1,X0))) = sdtmndt0(X1,X0) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6020,c_5550]) ).
tcf(c_8345,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X1,X0) = slcrc0 )
| ( sdtpldt0(sdtmndt0(sdtpldt0(X1,X0),sK4(sdtpldt0(X1,X0))),sK4(sdtpldt0(X1,X0))) = sdtpldt0(X1,X0) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5525,c_5550]) ).
tcf(c_8346,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(iPr_def_10)),sK4(iPr_def_10)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_5539,c_5550]) ).
tcf(c_8347,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(iPr_def_11)),sK4(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_6058,c_5550]) ).
tcf(c_8364,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElement0(sK7(xS,X0,X1))
| ~ aSet0(xS) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_8388,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aElementOf0(X0,xS)
| ~ aSet0(sdtmndt0(xS,sK4(xS))) ),
inference(superposition,[status(thm)],[c_8343,c_5523]) ).
tcf(c_8389,plain,
( aElementOf0(sK4(xS),xS)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(xS,sK4(xS))) ),
inference(superposition,[status(thm)],[c_8343,c_5524]) ).
tcf(c_8414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| aElementOf0(sK7(slcrc0,X0,X3),X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5922,c_57]) ).
tcf(c_8415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtpldt0(sdtmndt0(X1,sK7(slcrc0,X0,X2)),sK7(slcrc0,X0,X2)) = X1 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5922,c_86]) ).
tcf(c_8416,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElement0(sK7(slcrc0,X0,X2))
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5922,c_49]) ).
tcf(c_8417,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_5922,c_52]) ).
tcf(c_8418,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK7(slcrc0,X0,X1) = X1 )
| ~ aSet0(slcrc0)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X0)
| ~ aElementOf0(sK7(slcrc0,X0,X1),slcrc0) ),
inference(superposition,[status(thm)],[c_5922,c_158]) ).
tcf(c_8419,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ~ aSet0(X1)
| ~ aElement0(sK7(slcrc0,X0,X2))
| ~ aSet0(sdtmndt0(X1,sK7(slcrc0,X0,X2)))
| ~ aSubsetOf0(X0,sdtmndt0(X1,sK7(slcrc0,X0,X2))) ),
inference(superposition,[status(thm)],[c_5922,c_6019]) ).
tcf(c_8420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| aElementOf0(sK7(slcrc0,X0,X3),X1)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSubsetOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_5922,c_6017]) ).
tcf(c_8421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| aElement0(sK7(slcrc0,X0,X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSubsetOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_5922,c_6018]) ).
tcf(c_8422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| aElement0(sK7(slcrc0,X0,X3))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aSubsetOf0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_5922,c_5523]) ).
tcf(c_8423,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_11)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_6071]) ).
tcf(c_8424,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),xS)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_5778]) ).
tcf(c_8425,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_5537]) ).
tcf(c_8426,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_10)
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS)
| ~ aElement0(sK7(slcrc0,X0,X1)) ),
inference(superposition,[status(thm)],[c_5922,c_5615]) ).
tcf(c_8427,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_10)
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_6055]) ).
tcf(c_8428,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_6056]) ).
tcf(c_8429,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8417,c_51]) ).
tcf(c_8432,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8428,c_6058]) ).
tcf(c_8436,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8425,c_5539]) ).
tcf(c_8444,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8427,c_6058]) ).
tcf(c_8448,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_10)
| ~ aSubsetOf0(X0,xS)
| ~ aElement0(sK7(slcrc0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8426,c_88]) ).
tcf(c_8453,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),xS)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8424,c_5539]) ).
tcf(c_8458,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_11)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8423,c_5539]) ).
tcf(c_8624,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X0,X1) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_8429,c_664]) ).
tcf(c_8625,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8429,c_81]) ).
tcf(c_8634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElementOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8625,c_52]) ).
tcf(c_8643,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ( sdtmndt0(slcrc0,sK6(X0,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_155,c_8332]) ).
tcf(c_8644,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_154,c_8332]) ).
tcf(c_8645,plain,
sdtmndt0(slcrc0,xx) = slcrc0,
inference(superposition,[status(thm)],[c_87,c_8332]) ).
tcf(c_8646,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK4(X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5469,c_8332]) ).
tcf(c_8647,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_8332]) ).
tcf(c_8648,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK4(iPr_def_10)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5641,c_8332]) ).
tcf(c_8649,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5644,c_8332]) ).
tcf(c_8650,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7344,c_8332]) ).
tcf(c_8651,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5924,c_8332]) ).
tcf(c_8652,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5927,c_8332]) ).
tcf(c_8653,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK4(iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6094,c_8332]) ).
tcf(c_8654,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6097,c_8332]) ).
tcf(c_8655,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7530,c_8332]) ).
tcf(c_8656,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6091,c_8332]) ).
tcf(c_8657,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6760,c_8332]) ).
tcf(c_8658,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6757,c_8332]) ).
tcf(c_8659,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6835,c_8332]) ).
tcf(c_8660,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6832,c_8332]) ).
tcf(c_8661,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7354,c_8332]) ).
tcf(c_8662,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7538,c_8332]) ).
tcf(c_8745,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(xx)
| ~ aElementOf0(xx,slcrc0) ),
inference(superposition,[status(thm)],[c_8645,c_6019]) ).
tcf(c_8747,plain,
( sP2(slcrc0,slcrc0,xx)
| ~ aSet0(slcrc0)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_8645,c_652]) ).
tcf(c_8754,plain,
( ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK4(iPr_def_10))
| ~ aElementOf0(sK4(iPr_def_10),slcrc0) ),
inference(superposition,[status(thm)],[c_8648,c_6019]) ).
tcf(c_8756,plain,
( sP2(slcrc0,slcrc0,sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK4(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_8648,c_652]) ).
tcf(c_8763,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aElementOf0(sK4(iPr_def_11),slcrc0) ),
inference(superposition,[status(thm)],[c_8653,c_6019]) ).
tcf(c_8765,plain,
( sP2(slcrc0,slcrc0,sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK4(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_8653,c_652]) ).
tcf(c_8772,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8432,c_8332]) ).
tcf(c_8782,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8436,c_8332]) ).
tcf(c_8790,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_10,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8652,c_664]) ).
tcf(c_8791,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_10,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8652,c_81]) ).
tcf(c_8796,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_10,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8790,c_5539]) ).
tcf(c_8800,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_10,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8791,c_52]) ).
tcf(c_8820,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8656,c_664]) ).
tcf(c_8821,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_11,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8656,c_81]) ).
tcf(c_8826,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_11,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8820,c_6058]) ).
tcf(c_8830,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,iPr_def_11,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8821,c_52]) ).
tcf(c_8840,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8657,c_664]) ).
tcf(c_8842,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,slcrc0,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8657,c_83]) ).
tcf(c_8851,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,slcrc0,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8842,c_52]) ).
tcf(c_8854,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,slcrc0,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8840,c_51]) ).
tcf(c_8864,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8658,c_664]) ).
tcf(c_8866,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8658,c_83]) ).
tcf(c_8875,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8866,c_52]) ).
tcf(c_8878,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8864,c_51]) ).
tcf(c_8890,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10))
| ~ aElementOf0(X0,iPr_def_11)
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7113,c_5523]) ).
tcf(c_8893,plain,
( sP0(iPr_def_11,sdtmndt0(iPr_def_11,sK4(iPr_def_10)),sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7113,c_618]) ).
tcf(c_8926,plain,
! [X0: $i] : sdtmndt0(slcrc0,sK7(iPr_def_10,slcrc0,X0)) = slcrc0,
inference(superposition,[status(thm)],[c_5540,c_8851]) ).
tcf(c_8953,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_8875]) ).
tcf(c_8954,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_8875]) ).
tcf(c_8955,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_8875]) ).
tcf(c_8956,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_8875]) ).
tcf(c_8957,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_8875]) ).
tcf(c_8958,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_8875]) ).
tcf(c_8959,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_8875]) ).
tcf(c_8960,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_8875]) ).
tcf(c_8961,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_8875]) ).
tcf(c_8962,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_8875]) ).
tcf(c_8963,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_8875]) ).
tcf(c_8964,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_8875]) ).
tcf(c_8965,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_8875]) ).
tcf(c_8967,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_8875]) ).
tcf(c_8968,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_8875]) ).
tcf(c_8971,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8962,c_6058]) ).
tcf(c_8974,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8959,c_6058]) ).
tcf(c_8977,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8953,c_6058]) ).
tcf(c_8992,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8954,c_6058]) ).
tcf(c_8999,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8963,c_6058]) ).
tcf(c_9003,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8958,c_6058]) ).
tcf(c_9011,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8956,c_6058]) ).
tcf(c_9080,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_8977,c_6018]) ).
tcf(c_9081,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0))
| ~ aElementOf0(sK7(iPr_def_11,slcrc0,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_8977,c_6019]) ).
tcf(c_9083,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_8977,c_652]) ).
tcf(c_9092,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK4(X0)) ),
inference(superposition,[status(thm)],[c_50,c_8634]) ).
tcf(c_9093,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X1,X0)
| ( sK5(X0,X1) = X2 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK5(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_8634]) ).
tcf(c_9094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X0)
| ( sK6(X0,X1,X2) = X3 )
| ( sK6(X0,X1,X2) = X2 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK6(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_67,c_8634]) ).
tcf(c_9095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,X2)
| aElementOf0(sK6(X0,X1,X2),X1)
| ( sK6(X0,X1,X2) = X3 )
| ( sK6(X0,X1,X2) = X2 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK6(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_67,c_8634]) ).
tcf(c_9096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X0)
| ( sK7(X0,X1,X2) = X3 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_78,c_8634]) ).
tcf(c_9097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,X1,X2)
| aElementOf0(sK7(X0,X1,X2),X1)
| ( sK7(X0,X1,X2) = X3 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK7(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_78,c_8634]) ).
tcf(c_9098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSubsetOf0(sdtpldt0(X0,X1),slcrc0) ),
inference(superposition,[status(thm)],[c_5524,c_8634]) ).
tcf(c_9102,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,slcrc0,X1)
| ( sK7(X0,slcrc0,X1) = X2 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK7(X0,slcrc0,X1)) ),
inference(superposition,[status(thm)],[c_5805,c_8634]) ).
tcf(c_9103,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X1)
| ( sK7(slcrc0,X0,X1) = X2 )
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK7(slcrc0,X0,X1)) ),
inference(superposition,[status(thm)],[c_5821,c_8634]) ).
tcf(c_9105,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X0,X1)
| ( sK7(X0,X0,X1) = X2 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK7(X0,X0,X1)) ),
inference(superposition,[status(thm)],[c_5816,c_8634]) ).
tcf(c_9106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X1)
| ( sK7(slcrc0,X0,X1) = X3 )
| ~ aSet0(X2)
| ~ aSubsetOf0(X2,slcrc0)
| ~ aSubsetOf0(X0,X2)
| ~ aElement0(sK7(slcrc0,X0,X1)) ),
inference(superposition,[status(thm)],[c_5922,c_8634]) ).
tcf(c_9108,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK4(iPr_def_10) = X0 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK4(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_5980,c_8634]) ).
tcf(c_9109,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),iPr_def_10)
| ( sK7(iPr_def_11,X0,X1) = X2 )
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,X1)) ),
inference(superposition,[status(thm)],[c_6137,c_8634]) ).
tcf(c_9115,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = X1 )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_6387,c_8634]) ).
tcf(c_9116,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK4(iPr_def_11) = X0 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK4(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_6390,c_8634]) ).
tcf(c_9117,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK4(iPr_def_10) = X0 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK4(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_6459,c_8634]) ).
tcf(c_9118,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK4(iPr_def_11) = X0 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK4(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_6454,c_8634]) ).
tcf(c_9303,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_8926,c_6018]) ).
tcf(c_9304,plain,
! [X0: $i] :
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,slcrc0,X0))
| ~ aElementOf0(sK7(iPr_def_10,slcrc0,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_8926,c_6019]) ).
tcf(c_9306,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_8926,c_652]) ).
tcf(c_9311,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8659,c_664]) ).
tcf(c_9314,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8659,c_82]) ).
tcf(c_9315,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8659,c_84]) ).
tcf(c_9322,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9311,c_5539]) ).
tcf(c_9358,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8660,c_664]) ).
tcf(c_9361,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8660,c_82]) ).
tcf(c_9362,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8660,c_84]) ).
tcf(c_9369,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9358,c_6058]) ).
tcf(c_9379,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8661,c_664]) ).
tcf(c_9380,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8661,c_81]) ).
tcf(c_9381,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8661,c_83]) ).
tcf(c_9382,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8661,c_82]) ).
tcf(c_9383,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8661,c_84]) ).
tcf(c_9393,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9379,c_6058]) ).
tcf(c_9409,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8662,c_664]) ).
tcf(c_9410,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8662,c_81]) ).
tcf(c_9411,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8662,c_83]) ).
tcf(c_9412,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8662,c_82]) ).
tcf(c_9413,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8662,c_84]) ).
tcf(c_9423,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9409,c_5539]) ).
tcf(c_9462,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8960,c_664]) ).
tcf(c_9463,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8960,c_81]) ).
tcf(c_9468,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9462,c_6058]) ).
tcf(c_9472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9463,c_52]) ).
tcf(c_9482,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8971,c_664]) ).
tcf(c_9488,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9482,c_6058]) ).
tcf(c_9497,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8974,c_664]) ).
tcf(c_9503,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9497,c_51]) ).
tcf(c_9511,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_9315]) ).
tcf(c_9512,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_9315]) ).
tcf(c_9513,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(X0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_9315]) ).
tcf(c_9514,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_9315]) ).
tcf(c_9515,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(X0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_9315]) ).
tcf(c_9516,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_9315]) ).
tcf(c_9517,plain,
sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0,
inference(superposition,[status(thm)],[c_5540,c_9315]) ).
tcf(c_9518,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_9315]) ).
tcf(c_9519,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_9315]) ).
tcf(c_9520,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_9315]) ).
tcf(c_9521,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_9315]) ).
tcf(c_9523,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_9315]) ).
tcf(c_9524,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_9315]) ).
tcf(c_9525,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5928,c_9315]) ).
tcf(c_9528,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6130,c_9315]) ).
tcf(c_9529,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_9315]) ).
tcf(c_9530,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_9315]) ).
tcf(c_9531,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6127,c_9315]) ).
tcf(c_9533,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_9315]) ).
tcf(c_9534,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6766,c_9315]) ).
tcf(c_9535,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_9315]) ).
tcf(c_9536,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6841,c_9315]) ).
tcf(c_9537,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7103,c_9315]) ).
tcf(c_9538,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7827,c_9315]) ).
tcf(c_9554,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9511,c_5539]) ).
tcf(c_9563,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9523,c_5539]) ).
tcf(c_9566,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9520,c_5539]) ).
tcf(c_9569,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9512,c_5539]) ).
tcf(c_9589,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9524,c_5539]) ).
tcf(c_9593,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9516,c_5539]) ).
tcf(c_9601,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9514,c_5539]) ).
tcf(c_9710,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,xx))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,xx),slcrc0) ),
inference(superposition,[status(thm)],[c_9517,c_6019]) ).
tcf(c_9712,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,xx)) ),
inference(superposition,[status(thm)],[c_9517,c_652]) ).
tcf(c_9717,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_9362]) ).
tcf(c_9718,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_9362]) ).
tcf(c_9719,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_9362]) ).
tcf(c_9720,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_9362]) ).
tcf(c_9721,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_9362]) ).
tcf(c_9722,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_9362]) ).
tcf(c_9723,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_9362]) ).
tcf(c_9724,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_9362]) ).
tcf(c_9726,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_9362]) ).
tcf(c_9727,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_9362]) ).
tcf(c_9731,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_9362]) ).
tcf(c_9732,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_9362]) ).
tcf(c_9735,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9717,c_6058]) ).
tcf(c_9744,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9726,c_6058]) ).
tcf(c_9747,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9723,c_6058]) ).
tcf(c_9750,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9718,c_6058]) ).
tcf(c_9754,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9727,c_6058]) ).
tcf(c_9758,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9722,c_6058]) ).
tcf(c_9766,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9720,c_6058]) ).
tcf(c_9846,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_9383]) ).
tcf(c_9847,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_9383]) ).
tcf(c_9848,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(X0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_9383]) ).
tcf(c_9849,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_9383]) ).
tcf(c_9850,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(X0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_9383]) ).
tcf(c_9851,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_9383]) ).
tcf(c_9852,plain,
sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,xx)) = slcrc0,
inference(superposition,[status(thm)],[c_5540,c_9383]) ).
tcf(c_9853,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(xS))) = slcrc0 )
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_9383]) ).
tcf(c_9854,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_9383]) ).
tcf(c_9855,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_9383]) ).
tcf(c_9856,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_9383]) ).
tcf(c_9858,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_9383]) ).
tcf(c_9859,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_9383]) ).
tcf(c_9860,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_5928,c_9383]) ).
tcf(c_9863,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6130,c_9383]) ).
tcf(c_9864,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_9383]) ).
tcf(c_9865,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_9383]) ).
tcf(c_9866,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6127,c_9383]) ).
tcf(c_9868,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_9383]) ).
tcf(c_9869,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6766,c_9383]) ).
tcf(c_9870,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_9383]) ).
tcf(c_9871,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6841,c_9383]) ).
tcf(c_9872,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7103,c_9383]) ).
tcf(c_9873,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7827,c_9383]) ).
tcf(c_9889,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9846,c_5539]) ).
tcf(c_9898,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9858,c_5539]) ).
tcf(c_9901,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9855,c_5539]) ).
tcf(c_9904,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9847,c_5539]) ).
tcf(c_9924,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9859,c_5539]) ).
tcf(c_9928,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9851,c_5539]) ).
tcf(c_9936,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9849,c_5539]) ).
tcf(c_10004,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_9413]) ).
tcf(c_10005,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_9413]) ).
tcf(c_10006,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(X0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_9413]) ).
tcf(c_10007,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_9413]) ).
tcf(c_10008,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(X0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_9413]) ).
tcf(c_10009,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_9413]) ).
tcf(c_10010,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_9413]) ).
tcf(c_10011,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_9413]) ).
tcf(c_10013,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_9413]) ).
tcf(c_10014,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_9413]) ).
tcf(c_10018,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_9413]) ).
tcf(c_10019,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_9413]) ).
tcf(c_10022,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10004,c_6058]) ).
tcf(c_10031,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10013,c_6058]) ).
tcf(c_10034,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10010,c_6058]) ).
tcf(c_10037,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10005,c_6058]) ).
tcf(c_10041,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10014,c_6058]) ).
tcf(c_10045,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10009,c_6058]) ).
tcf(c_10053,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10007,c_6058]) ).
tcf(c_10120,plain,
( ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_9554,c_6019]) ).
tcf(c_10122,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_9554,c_652]) ).
tcf(c_10133,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_9735,c_6019]) ).
tcf(c_10135,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_9735,c_652]) ).
tcf(c_10142,plain,
( ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_9889,c_6019]) ).
tcf(c_10144,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_9889,c_652]) ).
tcf(c_10147,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,xx))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_11,xx),slcrc0) ),
inference(superposition,[status(thm)],[c_9852,c_6019]) ).
tcf(c_10149,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,xx)) ),
inference(superposition,[status(thm)],[c_9852,c_652]) ).
tcf(c_10154,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_10 )
| ~ aElement0(sK4(iPr_def_10))
| ~ aElementOf0(X0,iPr_def_10)
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_8346,c_5523]) ).
tcf(c_10155,plain,
( aElementOf0(sK4(iPr_def_10),iPr_def_10)
| ( slcrc0 = iPr_def_10 )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_8346,c_5524]) ).
tcf(c_10157,plain,
( sP0(iPr_def_10,sdtmndt0(iPr_def_10,sK4(iPr_def_10)),sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_8346,c_618]) ).
tcf(c_10191,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aElementOf0(X0,iPr_def_11)
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_8347,c_5523]) ).
tcf(c_10192,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_8347,c_5524]) ).
tcf(c_10194,plain,
( sP0(iPr_def_11,sdtmndt0(iPr_def_11,sK4(iPr_def_11)),sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_8347,c_618]) ).
tcf(c_10215,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_57]) ).
tcf(c_10216,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,X0,X1)),sK7(slcrc0,X0,X1)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_86]) ).
tcf(c_10217,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_49]) ).
tcf(c_10218,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = X0 )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ~ aElementOf0(sK7(slcrc0,iPr_def_10,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_8444,c_158]) ).
tcf(c_10219,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_9383]) ).
tcf(c_10220,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_9315]) ).
tcf(c_10221,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_11)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_6071]) ).
tcf(c_10222,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),xS)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_5778]) ).
tcf(c_10244,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,X0,X1)),sK7(slcrc0,X0,X1)) = iPr_def_10 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10216,c_5539]) ).
tcf(c_10265,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK4(xS)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_88,c_8646]) ).
tcf(c_10266,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK4(sdtmndt0(X1,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6020,c_8646]) ).
tcf(c_10267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK4(sdtpldt0(X1,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5525,c_8646]) ).
tcf(c_10320,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK4(xS))
| ~ aElementOf0(sK4(xS),slcrc0) ),
inference(superposition,[status(thm)],[c_10265,c_6019]) ).
tcf(c_10322,plain,
( sP2(slcrc0,slcrc0,sK4(xS))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_10265,c_652]) ).
tcf(c_10329,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(X1,iPr_def_10)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8649,c_111]) ).
tcf(c_10330,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8649,c_109]) ).
tcf(c_10332,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8649,c_5625]) ).
tcf(c_10333,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_10)) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_8649,c_7684]) ).
tcf(c_10334,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8649,c_7955]) ).
tcf(c_10335,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8649,c_8008]) ).
tcf(c_10339,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8649,c_7314]) ).
tcf(c_10340,plain,
( ( xS = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8649,c_8005]) ).
tcf(c_10341,plain,
sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_10)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_10333,c_51]) ).
tcf(c_10345,plain,
( ( xS = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10340,c_88]) ).
tcf(c_10348,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10339,c_6058]) ).
tcf(c_10351,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10335,c_5539,c_88]) ).
tcf(c_10354,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10334,c_6058,c_5539]) ).
tcf(c_10435,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_10))
| ~ aElementOf0(sK5(slcrc0,iPr_def_10),slcrc0) ),
inference(superposition,[status(thm)],[c_10341,c_6019]) ).
tcf(c_10437,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10))
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_10341,c_652]) ).
tcf(c_10460,plain,
( ( xS = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(xS,iPr_def_10))
| ~ aElementOf0(sK5(xS,iPr_def_10),slcrc0) ),
inference(superposition,[status(thm)],[c_10345,c_6019]) ).
tcf(c_10462,plain,
( sP2(slcrc0,slcrc0,sK5(xS,iPr_def_10))
| ( xS = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(xS,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_10345,c_652]) ).
tcf(c_10469,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(iPr_def_11,iPr_def_10))
| ~ aElementOf0(sK5(iPr_def_11,iPr_def_10),slcrc0) ),
inference(superposition,[status(thm)],[c_10348,c_6019]) ).
tcf(c_10471,plain,
( sP2(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10))
| ( iPr_def_10 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_10348,c_652]) ).
tcf(c_10479,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_8967,c_6018]) ).
tcf(c_10480,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0))
| ~ aElementOf0(sK7(iPr_def_11,slcrc0,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_8967,c_6019]) ).
tcf(c_10482,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_8967,c_652]) ).
tcf(c_10489,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_10022,c_6019]) ).
tcf(c_10491,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_10022,c_652]) ).
tcf(c_10498,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8992,c_111]) ).
tcf(c_10499,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8992,c_109]) ).
tcf(c_10503,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8992,c_7953]) ).
tcf(c_10526,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(X1,iPr_def_11)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8654,c_111]) ).
tcf(c_10527,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8654,c_109]) ).
tcf(c_10531,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8654,c_7953]) ).
tcf(c_10533,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_8654,c_7312]) ).
tcf(c_10534,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10533,c_6058,c_51]) ).
tcf(c_10541,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10531,c_6058,c_51]) ).
tcf(c_10556,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11))
| ~ aElementOf0(sK5(slcrc0,iPr_def_11),slcrc0) ),
inference(superposition,[status(thm)],[c_10534,c_6019]) ).
tcf(c_10558,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_10534,c_652]) ).
tcf(c_10565,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_9528,c_6019]) ).
tcf(c_10567,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_9528,c_652]) ).
tcf(c_10574,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_9863,c_6019]) ).
tcf(c_10576,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_9863,c_652]) ).
tcf(c_10583,plain,
! [X0: $i,X1: $i] :
( ( X1 = xx )
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_10332,c_8634]) ).
tcf(c_10584,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X1)
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_10332,c_57]) ).
tcf(c_10585,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ( sdtpldt0(sdtmndt0(X0,xx),xx) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10332,c_86]) ).
tcf(c_10588,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_89]) ).
tcf(c_10589,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(sdtmndt0(X0,xx),iPr_def_10)) = slcrc0 )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,xx)) ),
inference(superposition,[status(thm)],[c_10332,c_6019]) ).
tcf(c_10590,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK5(sdtmndt0(X0,X1),iPr_def_10)) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10332,c_6017]) ).
tcf(c_10604,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_6057]) ).
tcf(c_10605,plain,
sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_10604,c_6058]) ).
tcf(c_10606,plain,
sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_10588,c_88]) ).
tcf(c_10610,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(sdtmndt0(X0,xx),iPr_def_10)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10589,c_87]) ).
tcf(c_10619,plain,
! [X0: $i,X1: $i] :
( ( X1 = xx )
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10583,c_87]) ).
tcf(c_10633,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK5(iPr_def_11,iPr_def_10))
| ~ aElementOf0(sK5(iPr_def_11,iPr_def_10),slcrc0) ),
inference(superposition,[status(thm)],[c_10605,c_6019]) ).
tcf(c_10635,plain,
( sP2(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10))
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(iPr_def_11,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_10605,c_652]) ).
tcf(c_10638,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK5(xS,iPr_def_10))
| ~ aElementOf0(sK5(xS,iPr_def_10),slcrc0) ),
inference(superposition,[status(thm)],[c_10606,c_6019]) ).
tcf(c_10640,plain,
( sP2(slcrc0,slcrc0,sK5(xS,iPr_def_10))
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(xS,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_10606,c_652]) ).
tcf(c_10647,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10541,c_111]) ).
tcf(c_10648,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10541,c_109]) ).
tcf(c_10675,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_57]) ).
tcf(c_10676,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_86]) ).
tcf(c_10678,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_9383]) ).
tcf(c_10679,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_9315]) ).
tcf(c_10680,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_11)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_6071]) ).
tcf(c_10681,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),xS)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_5778]) ).
tcf(c_10702,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = iPr_def_10 )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10676,c_5539]) ).
tcf(c_10736,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,slcrc0,X1)
| aElement0(sK7(slcrc0,slcrc0,X1))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5565,c_8416]) ).
tcf(c_10737,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElement0(sK7(slcrc0,iPr_def_10,X1))
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8649,c_8416]) ).
tcf(c_10738,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10541,c_8416]) ).
tcf(c_10739,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8654,c_8416]) ).
tcf(c_10740,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElement0(sK7(slcrc0,iPr_def_11,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8992,c_8416]) ).
tcf(c_10742,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElement0(sK7(slcrc0,xS,X0))
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_7799,c_8416]) ).
tcf(c_10744,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElement0(sK7(slcrc0,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10742,c_5539]) ).
tcf(c_10777,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X2,X0) = X1 )
| ( sdtmndt0(slcrc0,sK6(X1,X2,X0)) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8643,c_630]) ).
tcf(c_10778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,X2)
| ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK6(X1,X2,X3)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8643,c_72]) ).
tcf(c_10779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,X2)
| ( sdtmndt0(slcrc0,sK6(X2,X1,X3)) = slcrc0 )
| ~ aSet0(X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8643,c_69]) ).
tcf(c_10780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK6(X1,X2,X3)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8643,c_71]) ).
tcf(c_10781,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK6(X1,X2,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8643,c_70]) ).
tcf(c_10817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X2,X0) = X1 )
| ( sdtmndt0(slcrc0,sK7(X1,X2,X0)) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8644,c_664]) ).
tcf(c_10818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,X2)
| ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(X2,X1,X3)) = slcrc0 )
| ~ aSet0(X2)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8644,c_81]) ).
tcf(c_10819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,X2)
| ( sdtmndt0(slcrc0,sK7(X1,X2,X3)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8644,c_83]) ).
tcf(c_10820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(X1,X2,X3)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8644,c_82]) ).
tcf(c_10821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,sK7(X1,X2,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8644,c_84]) ).
tcf(c_10884,plain,
! [X0: $i] :
( aElementOf0(xx,iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5540,c_9381]) ).
tcf(c_10908,plain,
! [X0: $i] : sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_10884,c_6057]) ).
tcf(c_10916,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5928,c_10744]) ).
tcf(c_10920,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(slcrc0,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10744,c_8332]) ).
tcf(c_10925,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_10908,c_6018]) ).
tcf(c_10926,plain,
! [X0: $i] :
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,X0))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_11,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_10908,c_6019]) ).
tcf(c_10928,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X0))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_10908,c_652]) ).
tcf(c_10934,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElementOf0(sK7(slcrc0,xS,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_10916,c_57]) ).
tcf(c_10935,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,xS,X0)),sK7(slcrc0,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_10916,c_86]) ).
tcf(c_10937,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10916,c_9315]) ).
tcf(c_10938,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),iPr_def_11)
| ( sK7(slcrc0,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_10916,c_6071]) ).
tcf(c_10939,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| aElementOf0(sK7(slcrc0,xS,X0),xS)
| ( sK7(slcrc0,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_10916,c_5778]) ).
tcf(c_10953,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,xS,X0)),sK7(slcrc0,xS,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10935,c_5539]) ).
tcf(c_10964,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,xS,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10920,c_664]) ).
tcf(c_10965,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,xS,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_10920,c_81]) ).
tcf(c_10970,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,xS,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10964,c_88]) ).
tcf(c_10974,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,xS,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10965,c_52]) ).
tcf(c_10991,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10541,c_8624]) ).
tcf(c_10993,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8992,c_8624]) ).
tcf(c_10994,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10991,c_6058,c_51]) ).
tcf(c_11023,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8650,c_664]) ).
tcf(c_11024,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_10)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8650,c_81]) ).
tcf(c_11025,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8650,c_83]) ).
tcf(c_11026,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8650,c_82]) ).
tcf(c_11027,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8650,c_84]) ).
tcf(c_11064,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8651,c_664]) ).
tcf(c_11065,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8651,c_81]) ).
tcf(c_11074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11065,c_52]) ).
tcf(c_11246,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8655,c_664]) ).
tcf(c_11247,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8655,c_81]) ).
tcf(c_11248,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8655,c_83]) ).
tcf(c_11249,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8655,c_82]) ).
tcf(c_11250,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8655,c_84]) ).
tcf(c_11287,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = X0 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_8347,c_9098]) ).
tcf(c_11290,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = X0 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(xS,sK4(xS))) ),
inference(superposition,[status(thm)],[c_8343,c_9098]) ).
tcf(c_11307,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9521,c_664]) ).
tcf(c_11308,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9521,c_81]) ).
tcf(c_11313,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11307,c_5539]) ).
tcf(c_11317,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11308,c_52]) ).
tcf(c_11342,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9531,c_664]) ).
tcf(c_11343,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9531,c_81]) ).
tcf(c_11348,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11342,c_6058]) ).
tcf(c_11352,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11343,c_52]) ).
tcf(c_11362,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9534,c_664]) ).
tcf(c_11364,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9534,c_83]) ).
tcf(c_11373,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11364,c_52]) ).
tcf(c_11376,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11362,c_51]) ).
tcf(c_11390,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_50,c_10821]) ).
tcf(c_11391,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(X0,X2,sK5(X1,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_10821]) ).
tcf(c_11392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X1,X3)
| aElementOf0(sK6(X0,X1,X3),X0)
| ( sK6(X0,X1,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(X1,X2,sK6(X0,X1,X3))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_10821]) ).
tcf(c_11393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,X2,X3)
| aElementOf0(sK6(X0,X2,X3),X2)
| ( sK6(X0,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK6(X0,X2,X3))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_10821]) ).
tcf(c_11394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,X1,X3)
| aElementOf0(sK7(X0,X1,X3),X0)
| ( sdtmndt0(slcrc0,sK7(X1,X2,sK7(X0,X1,X3))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_10821]) ).
tcf(c_11395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,X2,X3)
| aElementOf0(sK7(X0,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(X0,X2,X3))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_10821]) ).
tcf(c_11396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,sK7(sdtpldt0(X0,X1),X2,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_5524,c_10821]) ).
tcf(c_11397,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(X0,X1,xx)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10332,c_10821]) ).
tcf(c_11398,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,xx)) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5540,c_10821]) ).
tcf(c_11399,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_10821]) ).
tcf(c_11400,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_10821]) ).
tcf(c_11401,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(X0,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5805,c_10821]) ).
tcf(c_11402,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_10821]) ).
tcf(c_11403,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,X0,X2)
| aElement0(sK7(iPr_def_10,X0,X2))
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_10,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_10821]) ).
tcf(c_11404,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(X0,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5816,c_10821]) ).
tcf(c_11405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(X1,X2,sK7(slcrc0,X0,X3))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_5922,c_10821]) ).
tcf(c_11406,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_10916,c_10821]) ).
tcf(c_11407,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5980,c_10821]) ).
tcf(c_11408,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X0,X2)
| aElementOf0(sK7(iPr_def_11,X0,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_11,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_10821]) ).
tcf(c_11409,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X0,X2)
| aElement0(sK7(iPr_def_11,X0,X2))
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_11,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_10821]) ).
tcf(c_11410,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6130,c_10821]) ).
tcf(c_11411,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_10821]) ).
tcf(c_11412,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,X1,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6137,c_10821]) ).
tcf(c_11413,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6127,c_10821]) ).
tcf(c_11414,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6387,c_10821]) ).
tcf(c_11415,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6390,c_10821]) ).
tcf(c_11416,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6459,c_10821]) ).
tcf(c_11417,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6454,c_10821]) ).
tcf(c_11418,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_10821]) ).
tcf(c_11419,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6766,c_10821]) ).
tcf(c_11420,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_10821]) ).
tcf(c_11421,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6841,c_10821]) ).
tcf(c_11422,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_7103,c_10821]) ).
tcf(c_11423,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_10821]) ).
tcf(c_11424,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_7827,c_10821]) ).
tcf(c_11425,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_10821]) ).
tcf(c_11426,plain,
! [X0: $i] : sdtmndt0(slcrc0,sK7(iPr_def_10,X0,xx)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_11398,c_5539]) ).
tcf(c_11427,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11410,c_5539]) ).
tcf(c_11433,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11424,c_5539]) ).
tcf(c_11436,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11421,c_5539]) ).
tcf(c_11439,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11419,c_5539]) ).
tcf(c_11442,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11413,c_5539]) ).
tcf(c_11445,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(slcrc0,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11406,c_5539]) ).
tcf(c_11457,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11411,c_5539]) ).
tcf(c_11472,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(xS))) = slcrc0 )
| ~ aElement0(sK4(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11399,c_5539]) ).
tcf(c_11476,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11422,c_5539]) ).
tcf(c_11480,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11417,c_6058]) ).
tcf(c_11484,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_10))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11416,c_6058]) ).
tcf(c_11488,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11415,c_88]) ).
tcf(c_11492,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_10))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11407,c_88]) ).
tcf(c_11500,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11425,c_5539]) ).
tcf(c_11516,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11423,c_5539]) ).
tcf(c_11520,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11420,c_5539]) ).
tcf(c_11524,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11418,c_5539]) ).
tcf(c_11528,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,X1,X2))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11412,c_5539]) ).
tcf(c_11536,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11400,c_5539]) ).
tcf(c_11640,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_50,c_11027]) ).
tcf(c_11641,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_11027]) ).
tcf(c_11642,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_10,X2)
| aElementOf0(sK6(X0,iPr_def_10,X2),X0)
| ( sK6(X0,iPr_def_10,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK6(X0,iPr_def_10,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_11027]) ).
tcf(c_11643,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_10,X1,X2)
| aElementOf0(sK6(iPr_def_10,X1,X2),X1)
| ( sK6(iPr_def_10,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(iPr_def_10,X1,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_11027]) ).
tcf(c_11644,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_10,X2)
| aElementOf0(sK7(X0,iPr_def_10,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(X0,iPr_def_10,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_11027]) ).
tcf(c_11645,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,X1,X2)
| aElementOf0(sK7(iPr_def_10,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,X1,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_11027]) ).
tcf(c_11648,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_11027]) ).
tcf(c_11649,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_11027]) ).
tcf(c_11650,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5805,c_11027]) ).
tcf(c_11651,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_11027]) ).
tcf(c_11652,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| aElement0(sK7(iPr_def_10,iPr_def_10,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_11027]) ).
tcf(c_11653,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5816,c_11027]) ).
tcf(c_11654,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_11027]) ).
tcf(c_11656,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_11027]) ).
tcf(c_11657,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElement0(sK7(iPr_def_11,iPr_def_10,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_11027]) ).
tcf(c_11659,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_11027]) ).
tcf(c_11663,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_11027]) ).
tcf(c_11665,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_11027]) ).
tcf(c_11668,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_11027]) ).
tcf(c_11670,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_11027]) ).
tcf(c_11678,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11640,c_5539]) ).
tcf(c_11686,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11653,c_5539]) ).
tcf(c_11690,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11650,c_5539]) ).
tcf(c_11698,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11641,c_5539]) ).
tcf(c_11732,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11654,c_5539]) ).
tcf(c_11737,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,X1,X2)
| aElementOf0(sK7(iPr_def_10,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,X1,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11645,c_5539]) ).
tcf(c_11747,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_10,X1,X2)
| aElementOf0(sK6(iPr_def_10,X1,X2),X1)
| ( sK6(iPr_def_10,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(iPr_def_10,X1,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11643,c_5539]) ).
tcf(c_11804,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_50,c_11250]) ).
tcf(c_11805,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_11250]) ).
tcf(c_11806,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK6(X0,iPr_def_11,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_11250]) ).
tcf(c_11807,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK6(iPr_def_11,X1,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_11250]) ).
tcf(c_11808,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK7(X0,iPr_def_11,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_11250]) ).
tcf(c_11809,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,X1,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_11250]) ).
tcf(c_11811,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5805,c_11250]) ).
tcf(c_11812,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5821,c_11250]) ).
tcf(c_11813,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_10,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5827,c_11250]) ).
tcf(c_11814,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5816,c_11250]) ).
tcf(c_11815,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_11250]) ).
tcf(c_11816,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6137,c_11250]) ).
tcf(c_11817,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6101,c_11250]) ).
tcf(c_11818,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6387,c_11250]) ).
tcf(c_11824,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11804,c_6058]) ).
tcf(c_11828,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11814,c_6058]) ).
tcf(c_11832,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11811,c_6058]) ).
tcf(c_11836,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11805,c_6058]) ).
tcf(c_11854,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11815,c_6058]) ).
tcf(c_11859,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,X1,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11809,c_6058]) ).
tcf(c_11869,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK6(iPr_def_11,X1,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11807,c_6058]) ).
tcf(c_12008,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_11373]) ).
tcf(c_12009,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_11373]) ).
tcf(c_12010,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_11373]) ).
tcf(c_12011,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_11373]) ).
tcf(c_12012,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_11373]) ).
tcf(c_12013,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_11373]) ).
tcf(c_12015,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_11373]) ).
tcf(c_12016,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_11373]) ).
tcf(c_12017,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_11373]) ).
tcf(c_12018,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_11373]) ).
tcf(c_12019,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_11373]) ).
tcf(c_12020,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_11373]) ).
tcf(c_12021,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_11373]) ).
tcf(c_12023,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_11373]) ).
tcf(c_12024,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_11373]) ).
tcf(c_12027,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12018,c_6058]) ).
tcf(c_12030,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12015,c_6058]) ).
tcf(c_12033,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12008,c_6058]) ).
tcf(c_12048,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12009,c_6058]) ).
tcf(c_12055,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12019,c_6058]) ).
tcf(c_12059,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12013,c_6058]) ).
tcf(c_12067,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12011,c_6058]) ).
tcf(c_12123,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,xx)) ),
inference(superposition,[status(thm)],[c_11426,c_6018]) ).
tcf(c_12124,plain,
! [X0: $i] :
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,xx))
| ~ aElementOf0(sK7(iPr_def_10,X0,xx),slcrc0) ),
inference(superposition,[status(thm)],[c_11426,c_6019]) ).
tcf(c_12126,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,xx))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,xx)) ),
inference(superposition,[status(thm)],[c_11426,c_652]) ).
tcf(c_12132,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_11427,c_6018]) ).
tcf(c_12133,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_11427,c_6019]) ).
tcf(c_12135,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_11427,c_652]) ).
tcf(c_12140,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9536,c_664]) ).
tcf(c_12143,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9536,c_82]) ).
tcf(c_12144,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9536,c_84]) ).
tcf(c_12151,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12140,c_6058]) ).
tcf(c_12161,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9538,c_664]) ).
tcf(c_12162,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9538,c_81]) ).
tcf(c_12163,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9538,c_83]) ).
tcf(c_12164,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9538,c_82]) ).
tcf(c_12165,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9538,c_84]) ).
tcf(c_12175,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12161,c_5539]) ).
tcf(c_12199,plain,
( aElementOf0(sK4(xS),iPr_def_10)
| ( slcrc0 = xS ) ),
inference(global_subsumption_just,[status(thm)],[c_7757,c_88,c_51,c_92,c_103,c_5696,c_6047,c_7591,c_8606]) ).
tcf(c_12209,plain,
( aElementOf0(sK4(xS),xS)
| ( slcrc0 = xS )
| ( sK4(xS) = xx ) ),
inference(superposition,[status(thm)],[c_12199,c_8264]) ).
tcf(c_12210,plain,
( aElement0(sK4(xS))
| ( slcrc0 = xS ) ),
inference(superposition,[status(thm)],[c_12199,c_6880]) ).
tcf(c_12230,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9563,c_664]) ).
tcf(c_12233,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9563,c_82]) ).
tcf(c_12234,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9563,c_84]) ).
tcf(c_12241,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12230,c_5539]) ).
tcf(c_12251,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9566,c_664]) ).
tcf(c_12253,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9566,c_83]) ).
tcf(c_12262,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12253,c_52]) ).
tcf(c_12265,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12251,c_51]) ).
tcf(c_12285,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9724,c_664]) ).
tcf(c_12286,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9724,c_81]) ).
tcf(c_12291,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12285,c_6058]) ).
tcf(c_12295,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12286,c_52]) ).
tcf(c_12305,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9744,c_664]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9744,c_82]) ).
tcf(c_12309,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9744,c_84]) ).
tcf(c_12316,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12305,c_6058]) ).
tcf(c_12361,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9747,c_664]) ).
tcf(c_12363,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9747,c_83]) ).
tcf(c_12372,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12363,c_52]) ).
tcf(c_12375,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12361,c_51]) ).
tcf(c_12400,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_9731,c_6019]) ).
tcf(c_12402,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_9731,c_652]) ).
tcf(c_12408,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_12033,c_6018]) ).
tcf(c_12409,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_12033,c_6019]) ).
tcf(c_12411,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_12033,c_652]) ).
tcf(c_12416,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12144]) ).
tcf(c_12417,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12144]) ).
tcf(c_12418,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12144]) ).
tcf(c_12419,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12144]) ).
tcf(c_12420,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12144]) ).
tcf(c_12421,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12144]) ).
tcf(c_12423,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12144]) ).
tcf(c_12424,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12144]) ).
tcf(c_12426,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12144]) ).
tcf(c_12427,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12144]) ).
tcf(c_12431,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12144]) ).
tcf(c_12432,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12144]) ).
tcf(c_12435,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12416,c_6058]) ).
tcf(c_12444,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12426,c_6058]) ).
tcf(c_12447,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12423,c_6058]) ).
tcf(c_12450,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12417,c_6058]) ).
tcf(c_12454,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12427,c_6058]) ).
tcf(c_12458,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12421,c_6058]) ).
tcf(c_12466,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12419,c_6058]) ).
tcf(c_12503,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12165]) ).
tcf(c_12504,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12165]) ).
tcf(c_12505,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK6(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12165]) ).
tcf(c_12506,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12165]) ).
tcf(c_12507,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12165]) ).
tcf(c_12508,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12165]) ).
tcf(c_12510,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12165]) ).
tcf(c_12511,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12165]) ).
tcf(c_12513,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12165]) ).
tcf(c_12514,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12165]) ).
tcf(c_12518,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12165]) ).
tcf(c_12519,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12165]) ).
tcf(c_12522,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12503,c_6058]) ).
tcf(c_12531,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12513,c_6058]) ).
tcf(c_12534,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12510,c_6058]) ).
tcf(c_12537,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12504,c_6058]) ).
tcf(c_12541,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12514,c_6058]) ).
tcf(c_12545,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12508,c_6058]) ).
tcf(c_12553,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12506,c_6058]) ).
tcf(c_12654,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_12234]) ).
tcf(c_12655,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12234]) ).
tcf(c_12656,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK6(X0,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12234]) ).
tcf(c_12657,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_12234]) ).
tcf(c_12658,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(X0,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12234]) ).
tcf(c_12659,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_12234]) ).
tcf(c_12661,plain,
sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,xx))) = slcrc0,
inference(superposition,[status(thm)],[c_5540,c_12234]) ).
tcf(c_12662,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(xS)))) = slcrc0 )
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_5696,c_12234]) ).
tcf(c_12663,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_5700,c_12234]) ).
tcf(c_12664,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_12234]) ).
tcf(c_12665,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12234]) ).
tcf(c_12667,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_12234]) ).
tcf(c_12668,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_12234]) ).
tcf(c_12669,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10916,c_12234]) ).
tcf(c_12672,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6130,c_12234]) ).
tcf(c_12673,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_12234]) ).
tcf(c_12674,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_12234]) ).
tcf(c_12675,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6127,c_12234]) ).
tcf(c_12677,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6769,c_12234]) ).
tcf(c_12678,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6766,c_12234]) ).
tcf(c_12679,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_6844,c_12234]) ).
tcf(c_12680,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6841,c_12234]) ).
tcf(c_12681,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7103,c_12234]) ).
tcf(c_12682,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_7824,c_12234]) ).
tcf(c_12683,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7827,c_12234]) ).
tcf(c_12684,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_12234]) ).
tcf(c_12702,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12654,c_5539]) ).
tcf(c_12711,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12667,c_5539]) ).
tcf(c_12714,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12664,c_5539]) ).
tcf(c_12720,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12655,c_5539]) ).
tcf(c_12740,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12668,c_5539]) ).
tcf(c_12744,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12659,c_5539]) ).
tcf(c_12752,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12657,c_5539]) ).
tcf(c_12820,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,xx)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,xx)),slcrc0) ),
inference(superposition,[status(thm)],[c_12661,c_6019]) ).
tcf(c_12822,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,xx)))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,xx))) ),
inference(superposition,[status(thm)],[c_12661,c_652]) ).
tcf(c_12846,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10011,c_664]) ).
tcf(c_12847,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10011,c_81]) ).
tcf(c_12852,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12846,c_6058]) ).
tcf(c_12856,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12847,c_52]) ).
tcf(c_12883,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10031,c_664]) ).
tcf(c_12886,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10031,c_82]) ).
tcf(c_12887,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10031,c_84]) ).
tcf(c_12894,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12883,c_6058]) ).
tcf(c_12904,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10034,c_664]) ).
tcf(c_12906,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10034,c_83]) ).
tcf(c_12915,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12906,c_52]) ).
tcf(c_12918,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12904,c_51]) ).
tcf(c_12928,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10937,c_664]) ).
tcf(c_12929,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_10937,c_81]) ).
tcf(c_12934,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12928,c_88]) ).
tcf(c_12938,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12929,c_52]) ).
tcf(c_12948,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11433,c_664]) ).
tcf(c_12949,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_11433,c_81]) ).
tcf(c_12950,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11433,c_83]) ).
tcf(c_12951,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11433,c_82]) ).
tcf(c_12952,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11433,c_84]) ).
tcf(c_12962,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12948,c_5539]) ).
tcf(c_12977,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11436,c_664]) ).
tcf(c_12980,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11436,c_82]) ).
tcf(c_12981,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11436,c_84]) ).
tcf(c_12988,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12977,c_6058]) ).
tcf(c_12998,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11439,c_664]) ).
tcf(c_13000,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11439,c_83]) ).
tcf(c_13009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13000,c_52]) ).
tcf(c_13012,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12998,c_51]) ).
tcf(c_13031,plain,
! [X0: $i] : sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = slcrc0,
inference(superposition,[status(thm)],[c_5540,c_12262]) ).
tcf(c_13060,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12309]) ).
tcf(c_13061,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12309]) ).
tcf(c_13062,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12309]) ).
tcf(c_13063,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12309]) ).
tcf(c_13064,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12309]) ).
tcf(c_13065,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12309]) ).
tcf(c_13067,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12309]) ).
tcf(c_13068,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12309]) ).
tcf(c_13070,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12309]) ).
tcf(c_13071,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12309]) ).
tcf(c_13075,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12309]) ).
tcf(c_13076,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12309]) ).
tcf(c_13079,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13060,c_6058]) ).
tcf(c_13088,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13070,c_6058]) ).
tcf(c_13091,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13067,c_6058]) ).
tcf(c_13094,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13061,c_6058]) ).
tcf(c_13098,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13071,c_6058]) ).
tcf(c_13102,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13065,c_6058]) ).
tcf(c_13110,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13063,c_6058]) ).
tcf(c_13190,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12372]) ).
tcf(c_13191,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12372]) ).
tcf(c_13192,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12372]) ).
tcf(c_13193,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12372]) ).
tcf(c_13194,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12372]) ).
tcf(c_13195,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12372]) ).
tcf(c_13197,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12372]) ).
tcf(c_13198,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12372]) ).
tcf(c_13199,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_12372]) ).
tcf(c_13200,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12372]) ).
tcf(c_13201,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12372]) ).
tcf(c_13202,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_12372]) ).
tcf(c_13203,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_12372]) ).
tcf(c_13205,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12372]) ).
tcf(c_13206,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12372]) ).
tcf(c_13209,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13200,c_6058]) ).
tcf(c_13212,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13197,c_6058]) ).
tcf(c_13215,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13190,c_6058]) ).
tcf(c_13230,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13191,c_6058]) ).
tcf(c_13237,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13201,c_6058]) ).
tcf(c_13241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13195,c_6058]) ).
tcf(c_13249,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13193,c_6058]) ).
tcf(c_13362,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12887]) ).
tcf(c_13363,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12887]) ).
tcf(c_13364,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12887]) ).
tcf(c_13365,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12887]) ).
tcf(c_13366,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12887]) ).
tcf(c_13367,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12887]) ).
tcf(c_13369,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12887]) ).
tcf(c_13370,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12887]) ).
tcf(c_13372,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12887]) ).
tcf(c_13373,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12887]) ).
tcf(c_13377,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12887]) ).
tcf(c_13378,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12887]) ).
tcf(c_13381,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13362,c_6058]) ).
tcf(c_13390,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13372,c_6058]) ).
tcf(c_13393,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13369,c_6058]) ).
tcf(c_13396,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13363,c_6058]) ).
tcf(c_13400,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13373,c_6058]) ).
tcf(c_13404,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13367,c_6058]) ).
tcf(c_13412,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13365,c_6058]) ).
tcf(c_13469,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13031,c_6018]) ).
tcf(c_13470,plain,
! [X0: $i] :
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_13031,c_6019]) ).
tcf(c_13472,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13031,c_652]) ).
tcf(c_13477,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11442,c_664]) ).
tcf(c_13478,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,iPr_def_11,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11442,c_81]) ).
tcf(c_13483,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13477,c_6058]) ).
tcf(c_13487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,iPr_def_11,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13478,c_52]) ).
tcf(c_13497,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11445,c_664]) ).
tcf(c_13498,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,xS,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_11445,c_81]) ).
tcf(c_13503,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13497,c_88]) ).
tcf(c_13507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,xS,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13498,c_52]) ).
tcf(c_13525,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12016,c_664]) ).
tcf(c_13526,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_12016,c_81]) ).
tcf(c_13531,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13525,c_6058]) ).
tcf(c_13535,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13526,c_52]) ).
tcf(c_13545,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12027,c_664]) ).
tcf(c_13551,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13545,c_6058]) ).
tcf(c_13560,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_12030,c_664]) ).
tcf(c_13566,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13560,c_51]) ).
tcf(c_13578,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12915]) ).
tcf(c_13579,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12915]) ).
tcf(c_13580,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12915]) ).
tcf(c_13581,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12915]) ).
tcf(c_13582,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12915]) ).
tcf(c_13583,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12915]) ).
tcf(c_13585,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12915]) ).
tcf(c_13586,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12915]) ).
tcf(c_13587,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_12915]) ).
tcf(c_13588,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12915]) ).
tcf(c_13589,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12915]) ).
tcf(c_13590,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_12915]) ).
tcf(c_13591,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_12915]) ).
tcf(c_13593,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12915]) ).
tcf(c_13594,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12915]) ).
tcf(c_13597,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13588,c_6058]) ).
tcf(c_13600,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13585,c_6058]) ).
tcf(c_13603,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13578,c_6058]) ).
tcf(c_13618,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13579,c_6058]) ).
tcf(c_13625,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13589,c_6058]) ).
tcf(c_13629,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13583,c_6058]) ).
tcf(c_13637,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13581,c_6058]) ).
tcf(c_13726,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12952]) ).
tcf(c_13727,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12952]) ).
tcf(c_13728,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK6(X0,iPr_def_11,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12952]) ).
tcf(c_13729,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X1,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12952]) ).
tcf(c_13730,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK7(X0,iPr_def_11,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12952]) ).
tcf(c_13731,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X1,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12952]) ).
tcf(c_13733,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12952]) ).
tcf(c_13734,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12952]) ).
tcf(c_13735,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_12952]) ).
tcf(c_13736,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12952]) ).
tcf(c_13737,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12952]) ).
tcf(c_13738,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_12952]) ).
tcf(c_13739,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_12952]) ).
tcf(c_13741,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12952]) ).
tcf(c_13742,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12952]) ).
tcf(c_13745,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13726,c_6058]) ).
tcf(c_13754,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13736,c_6058]) ).
tcf(c_13757,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13733,c_6058]) ).
tcf(c_13760,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13727,c_6058]) ).
tcf(c_13773,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13737,c_6058]) ).
tcf(c_13777,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13731,c_6058]) ).
tcf(c_13785,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13729,c_6058]) ).
tcf(c_13859,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_12981]) ).
tcf(c_13860,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_12981]) ).
tcf(c_13861,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_12981]) ).
tcf(c_13862,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X1,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_12981]) ).
tcf(c_13863,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_12981]) ).
tcf(c_13864,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X1,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_12981]) ).
tcf(c_13866,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_12981]) ).
tcf(c_13867,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_12981]) ).
tcf(c_13868,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_12981]) ).
tcf(c_13869,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_12981]) ).
tcf(c_13870,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_12981]) ).
tcf(c_13871,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_12981]) ).
tcf(c_13872,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_12981]) ).
tcf(c_13874,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_12981]) ).
tcf(c_13875,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_12981]) ).
tcf(c_13878,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13859,c_6058]) ).
tcf(c_13887,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13869,c_6058]) ).
tcf(c_13890,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13866,c_6058]) ).
tcf(c_13893,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13860,c_6058]) ).
tcf(c_13906,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13870,c_6058]) ).
tcf(c_13910,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13864,c_6058]) ).
tcf(c_13918,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13862,c_6058]) ).
tcf(c_13978,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_13009]) ).
tcf(c_13979,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_13009]) ).
tcf(c_13980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,iPr_def_11,X3)
| aElementOf0(sK6(X0,iPr_def_11,X3),X0)
| ( sK6(X0,iPr_def_11,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_13009]) ).
tcf(c_13981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(iPr_def_11,X2,X3)
| aElementOf0(sK6(iPr_def_11,X2,X3),X2)
| ( sK6(iPr_def_11,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_13009]) ).
tcf(c_13982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,iPr_def_11,X3)
| aElementOf0(sK7(X0,iPr_def_11,X3),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_13009]) ).
tcf(c_13983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(iPr_def_11,X2,X3)
| aElementOf0(sK7(iPr_def_11,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_13009]) ).
tcf(c_13985,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_13009]) ).
tcf(c_13986,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_13009]) ).
tcf(c_13987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,iPr_def_11,X2)
| aElement0(sK7(iPr_def_10,iPr_def_11,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_13009]) ).
tcf(c_13988,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_13009]) ).
tcf(c_13989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_13009]) ).
tcf(c_13990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_13009]) ).
tcf(c_13991,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElement0(sK7(iPr_def_11,iPr_def_11,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_13009]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_13009]) ).
tcf(c_13994,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_13009]) ).
tcf(c_13997,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13988,c_6058]) ).
tcf(c_14000,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13985,c_6058]) ).
tcf(c_14003,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13978,c_6058]) ).
tcf(c_14018,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13979,c_6058]) ).
tcf(c_14025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13989,c_6058]) ).
tcf(c_14029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(iPr_def_11,X2,X3)
| aElementOf0(sK7(iPr_def_11,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13983,c_6058]) ).
tcf(c_14037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(iPr_def_11,X2,X3)
| aElementOf0(sK6(iPr_def_11,X2,X3),X2)
| ( sK6(iPr_def_11,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13981,c_6058]) ).
tcf(c_14121,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13198,c_664]) ).
tcf(c_14122,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13198,c_81]) ).
tcf(c_14127,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14121,c_6058]) ).
tcf(c_14131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14122,c_52]) ).
tcf(c_14141,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13209,c_664]) ).
tcf(c_14147,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14141,c_6058]) ).
tcf(c_14180,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13215,c_6018]) ).
tcf(c_14181,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_13215,c_6019]) ).
tcf(c_14183,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13215,c_652]) ).
tcf(c_14189,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13603,c_6018]) ).
tcf(c_14190,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_13603,c_6019]) ).
tcf(c_14192,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13603,c_652]) ).
tcf(c_14198,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X2)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X2,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_14003,c_6018]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1)),slcrc0) ),
inference(superposition,[status(thm)],[c_14003,c_6019]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_14003,c_652]) ).
tcf(c_14210,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_10821]) ).
tcf(c_14211,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK5(X0,iPr_def_10) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK5(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_5987,c_8634]) ).
tcf(c_14212,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X1)
| aElementOf0(sK5(X1,iPr_def_10),X0)
| ( sK5(X1,iPr_def_10) = xx )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_5987,c_57]) ).
tcf(c_14213,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK5(X0,iPr_def_10)),sK5(X0,iPr_def_10)) = xS )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_86]) ).
tcf(c_14214,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElement0(sK5(X0,iPr_def_10))
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_49]) ).
tcf(c_14215,plain,
( aSubsetOf0(iPr_def_10,xS)
| ( sK5(xS,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5987,c_54]) ).
tcf(c_14216,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),iPr_def_10)
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_5987,c_5615]) ).
tcf(c_14217,plain,
( aSubsetOf0(iPr_def_10,xS)
| ( sK5(xS,iPr_def_10) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14215,c_5539,c_88]) ).
tcf(c_14220,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElement0(sK5(X0,iPr_def_10))
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14214,c_88]) ).
tcf(c_14236,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14210,c_88]) ).
tcf(c_14241,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK5(X0,iPr_def_10)),sK5(X0,iPr_def_10)) = xS )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14213,c_88]) ).
tcf(c_14289,plain,
( aElementOf0(xx,xS)
| ( sK5(xS,iPr_def_10) = xx )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_14217,c_5625]) ).
tcf(c_14290,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sK5(xS,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14217,c_8008]) ).
tcf(c_14297,plain,
sK5(xS,iPr_def_10) = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_14289,c_89,c_88]) ).
tcf(c_14308,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13212,c_664]) ).
tcf(c_14314,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14308,c_51]) ).
tcf(c_14322,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13586,c_664]) ).
tcf(c_14323,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13586,c_81]) ).
tcf(c_14328,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14322,c_6058]) ).
tcf(c_14332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14323,c_52]) ).
tcf(c_14342,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13597,c_664]) ).
tcf(c_14348,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14342,c_6058]) ).
tcf(c_14357,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13600,c_664]) ).
tcf(c_14363,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14357,c_51]) ).
tcf(c_14371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13986,c_664]) ).
tcf(c_14372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13986,c_81]) ).
tcf(c_14377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14371,c_6058]) ).
tcf(c_14381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14372,c_52]) ).
tcf(c_14391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_13997,c_664]) ).
tcf(c_14397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14391,c_6058]) ).
tcf(c_14406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14000,c_664]) ).
tcf(c_14412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14406,c_51]) ).
tcf(c_14424,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5979,c_10821]) ).
tcf(c_14425,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sK7(slcrc0,iPr_def_10,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(slcrc0,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_5979,c_8634]) ).
tcf(c_14426,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElementOf0(sK7(slcrc0,iPr_def_10,X1),X0)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_5979,c_57]) ).
tcf(c_14427,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(slcrc0,iPr_def_10,X0)),sK7(slcrc0,iPr_def_10,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5979,c_86]) ).
tcf(c_14429,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| aElementOf0(sK7(slcrc0,iPr_def_10,X0),iPr_def_10)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ~ aElement0(sK7(slcrc0,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_5979,c_5615]) ).
tcf(c_14439,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14424,c_88]) ).
tcf(c_14443,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(slcrc0,iPr_def_10,X0)),sK7(slcrc0,iPr_def_10,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14427,c_88]) ).
tcf(c_14457,plain,
( aElementOf0(sK4(xS),xS)
| ( slcrc0 = xS ) ),
inference(global_subsumption_just,[status(thm)],[c_12209,c_88,c_51,c_92,c_103,c_6047,c_8606]) ).
tcf(c_14481,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,X0,X2)
| ( sK6(slcrc0,X0,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK6(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_10821]) ).
tcf(c_14482,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,X0,X1)
| ( sK6(slcrc0,X0,X1) = X2 )
| ( sK6(slcrc0,X0,X1) = X1 )
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK6(slcrc0,X0,X1)) ),
inference(superposition,[status(thm)],[c_6224,c_8634]) ).
tcf(c_14483,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,X0,X2)
| aElementOf0(sK6(slcrc0,X0,X2),X1)
| ( sK6(slcrc0,X0,X2) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6224,c_57]) ).
tcf(c_14484,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,X0,X1)
| ( sK6(slcrc0,X0,X1) = X1 )
| ( sdtpldt0(sdtmndt0(X0,sK6(slcrc0,X0,X1)),sK6(slcrc0,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_86]) ).
tcf(c_14485,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,X0,X1)
| aElement0(sK6(slcrc0,X0,X1))
| ( sK6(slcrc0,X0,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_49]) ).
tcf(c_14486,plain,
! [X0: $i] :
( sP0(slcrc0,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_52]) ).
tcf(c_14487,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,X0,X1)
| ( sK6(slcrc0,X0,X1) = X1 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,X0,X1),slcrc0) ),
inference(superposition,[status(thm)],[c_6224,c_159]) ).
tcf(c_14488,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,sdtmndt0(X1,X0),X2)
| aElementOf0(sK6(slcrc0,sdtmndt0(X1,X0),X2),X1)
| ( sK6(slcrc0,sdtmndt0(X1,X0),X2) = X2 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_6017]) ).
tcf(c_14489,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,sdtmndt0(X1,X0),X2)
| aElement0(sK6(slcrc0,sdtmndt0(X1,X0),X2))
| ( sK6(slcrc0,sdtmndt0(X1,X0),X2) = X2 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_6018]) ).
tcf(c_14490,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,sdtpldt0(X1,X0),X2)
| aElement0(sK6(slcrc0,sdtpldt0(X1,X0),X2))
| ( sK6(slcrc0,sdtpldt0(X1,X0),X2) = X2 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_5523]) ).
tcf(c_14491,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12234]) ).
tcf(c_14492,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_10,X1)
| ( sK6(slcrc0,iPr_def_10,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(slcrc0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_11027]) ).
tcf(c_14493,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_9315]) ).
tcf(c_14494,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| aElementOf0(sK6(slcrc0,iPr_def_10,X0),iPr_def_11)
| ( sK6(slcrc0,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,iPr_def_10,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_6071]) ).
tcf(c_14495,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| aElementOf0(sK6(slcrc0,iPr_def_10,X0),xS)
| ( sK6(slcrc0,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,iPr_def_10,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_5778]) ).
tcf(c_14496,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| aElement0(sK6(slcrc0,iPr_def_10,X0))
| ( sK6(slcrc0,iPr_def_10,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_5537]) ).
tcf(c_14497,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| aElementOf0(sK6(slcrc0,xS,X0),iPr_def_10)
| ( sK6(slcrc0,xS,X0) = X0 )
| ~ aElement0(sK6(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_6224,c_5615]) ).
tcf(c_14498,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,iPr_def_11,X2)
| ( sK6(slcrc0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_13009]) ).
tcf(c_14499,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12981]) ).
tcf(c_14500,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK6(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12952]) ).
tcf(c_14501,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12915]) ).
tcf(c_14502,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12887]) ).
tcf(c_14503,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12372]) ).
tcf(c_14504,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_12309]) ).
tcf(c_14505,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK6(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6224,c_11250]) ).
tcf(c_14506,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_9413]) ).
tcf(c_14507,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_9362]) ).
tcf(c_14508,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_8875]) ).
tcf(c_14509,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| aElementOf0(sK6(slcrc0,iPr_def_11,X0),iPr_def_10)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_6055]) ).
tcf(c_14510,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| aElement0(sK6(slcrc0,iPr_def_11,X0))
| ( sK6(slcrc0,iPr_def_11,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_6056]) ).
tcf(c_14745,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_10018,c_6019]) ).
tcf(c_14747,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_10018,c_652]) ).
tcf(c_14752,plain,
! [X0: $i] :
( ( sdtpldt0(slcrc0,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,X0) = X0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14486,c_630]) ).
tcf(c_14756,plain,
! [X0: $i] :
( aElementOf0(X0,slcrc0)
| ( sK6(slcrc0,slcrc0,X0) = X0 )
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14486,c_70]) ).
tcf(c_14758,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,X0) = X0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14756,c_52]) ).
tcf(c_14767,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ( sK6(slcrc0,slcrc0,sK6(X0,X1,X2)) = sK6(X0,X1,X2) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_155,c_14758]) ).
tcf(c_14768,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sK6(slcrc0,slcrc0,sK7(X0,X1,X2)) = sK7(X0,X1,X2) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_154,c_14758]) ).
tcf(c_14769,plain,
sK6(slcrc0,slcrc0,xx) = xx,
inference(superposition,[status(thm)],[c_87,c_14758]) ).
tcf(c_14770,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK4(X0)) = sK4(X0) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5469,c_14758]) ).
tcf(c_14771,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sK6(slcrc0,slcrc0,sK5(X1,X0)) = sK5(X1,X0) )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_14758]) ).
tcf(c_14772,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK4(iPr_def_10)) = sK4(iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_5641,c_14758]) ).
tcf(c_14773,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5644,c_14758]) ).
tcf(c_14774,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,X0,X1)) = sK7(iPr_def_10,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7344,c_14758]) ).
tcf(c_14775,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,X0,X1)) = sK7(slcrc0,X0,X1) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8436,c_14758]) ).
tcf(c_14776,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,X0,X1)) = sK7(slcrc0,X0,X1) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8432,c_14758]) ).
tcf(c_14777,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,X0,X1)) = sK7(slcrc0,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5924,c_14758]) ).
tcf(c_14778,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_10,X0)) = sK7(slcrc0,iPr_def_10,X0) ) ),
inference(superposition,[status(thm)],[c_5927,c_14758]) ).
tcf(c_14779,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,xS,X0)) = sK7(slcrc0,xS,X0) ) ),
inference(superposition,[status(thm)],[c_10744,c_14758]) ).
tcf(c_14780,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK4(iPr_def_11)) = sK4(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_6094,c_14758]) ).
tcf(c_14781,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_11)) = sK5(X0,iPr_def_11) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6097,c_14758]) ).
tcf(c_14782,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,X0,X1)) = sK7(iPr_def_11,X0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7530,c_14758]) ).
tcf(c_14783,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_11,X0)) = sK7(slcrc0,iPr_def_11,X0) ) ),
inference(superposition,[status(thm)],[c_6091,c_14758]) ).
tcf(c_14784,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)) = sK7(iPr_def_10,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6760,c_14758]) ).
tcf(c_14785,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6757,c_14758]) ).
tcf(c_14786,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = sK7(iPr_def_10,iPr_def_10,X0) ) ),
inference(superposition,[status(thm)],[c_6835,c_14758]) ).
tcf(c_14787,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = sK7(iPr_def_11,iPr_def_11,X0) ) ),
inference(superposition,[status(thm)],[c_6832,c_14758]) ).
tcf(c_14788,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = sK7(iPr_def_10,iPr_def_11,X0) ) ),
inference(superposition,[status(thm)],[c_7354,c_14758]) ).
tcf(c_14789,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = sK7(iPr_def_11,iPr_def_10,X0) ) ),
inference(superposition,[status(thm)],[c_7538,c_14758]) ).
tcf(c_15026,plain,
( sP0(slcrc0,slcrc0,xx)
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,xx),slcrc0) ),
inference(superposition,[status(thm)],[c_14769,c_160]) ).
tcf(c_15027,plain,
( sP0(slcrc0,slcrc0,xx)
| ~ aSet0(slcrc0)
| ~ aElementOf0(xx,slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,xx),slcrc0) ),
inference(superposition,[status(thm)],[c_14769,c_159]) ).
tcf(c_15030,plain,
( sP0(slcrc0,slcrc0,xx)
| ~ aSet0(slcrc0)
| ~ aElementOf0(xx,slcrc0) ),
inference(light_normalisation,[status(thm)],[c_15026,c_14769]) ).
tcf(c_15043,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(slcrc0,iPr_def_11,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6422,c_10821]) ).
tcf(c_15044,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(slcrc0,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_6422,c_8634]) ).
tcf(c_15045,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElementOf0(sK7(slcrc0,iPr_def_11,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6422,c_57]) ).
tcf(c_15046,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(slcrc0,iPr_def_11,X1)),sK7(slcrc0,iPr_def_11,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6422,c_86]) ).
tcf(c_15047,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6422,c_49]) ).
tcf(c_15049,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ~ aElementOf0(sK7(slcrc0,iPr_def_11,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_6422,c_158]) ).
tcf(c_15050,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(slcrc0,iPr_def_11,X1))
| ~ aSet0(sdtmndt0(X0,sK7(slcrc0,iPr_def_11,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(slcrc0,iPr_def_11,X1))) ),
inference(superposition,[status(thm)],[c_6422,c_6019]) ).
tcf(c_15051,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElementOf0(sK7(slcrc0,iPr_def_11,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6422,c_6017]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElement0(sK7(slcrc0,iPr_def_11,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6422,c_6018]) ).
tcf(c_15053,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElement0(sK7(slcrc0,iPr_def_11,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6422,c_5523]) ).
tcf(c_15056,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6422,c_9315]) ).
tcf(c_15068,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6422,c_11250]) ).
tcf(c_15078,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15056,c_5539]) ).
tcf(c_15149,plain,
( sP0(slcrc0,slcrc0,sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_14772,c_160]) ).
tcf(c_15150,plain,
( sP0(slcrc0,slcrc0,sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK4(iPr_def_10),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_14772,c_159]) ).
tcf(c_15151,plain,
( aElement0(sK4(iPr_def_10))
| sP0(slcrc0,slcrc0,sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_14772,c_155]) ).
tcf(c_15153,plain,
( aElement0(sK4(iPr_def_10))
| sP0(slcrc0,slcrc0,sK4(iPr_def_10))
| ( slcrc0 = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15151,c_51]) ).
tcf(c_15176,plain,
( sP0(slcrc0,slcrc0,sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_14780,c_160]) ).
tcf(c_15177,plain,
( sP0(slcrc0,slcrc0,sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK4(iPr_def_11),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_14780,c_159]) ).
tcf(c_15178,plain,
( aElement0(sK4(iPr_def_11))
| sP0(slcrc0,slcrc0,sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_14780,c_155]) ).
tcf(c_15180,plain,
( aElement0(sK4(iPr_def_11))
| sP0(slcrc0,slcrc0,sK4(iPr_def_11))
| ( slcrc0 = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15178,c_51]) ).
tcf(c_15192,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK6(slcrc0,iPr_def_10,X0)) = sK6(slcrc0,iPr_def_10,X0) ) ),
inference(superposition,[status(thm)],[c_14496,c_14758]) ).
tcf(c_15193,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sdtmndt0(slcrc0,sK6(slcrc0,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_14496,c_8332]) ).
tcf(c_15208,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK6(slcrc0,iPr_def_11,X0)) = sK6(slcrc0,iPr_def_11,X0) ) ),
inference(superposition,[status(thm)],[c_14510,c_14758]) ).
tcf(c_15209,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK6(slcrc0,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_14510,c_8332]) ).
tcf(c_15255,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK4(xS)) = sK4(xS) ) ),
inference(superposition,[status(thm)],[c_88,c_14770]) ).
tcf(c_15256,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK4(sdtmndt0(X1,X0))) = sK4(sdtmndt0(X1,X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6020,c_14770]) ).
tcf(c_15257,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X1,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK4(sdtpldt0(X1,X0))) = sK4(sdtpldt0(X1,X0)) )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5525,c_14770]) ).
tcf(c_15291,plain,
( sP0(slcrc0,slcrc0,sK4(xS))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK4(xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_15255,c_160]) ).
tcf(c_15292,plain,
( sP0(slcrc0,slcrc0,sK4(xS))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK4(xS),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK4(xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_15255,c_159]) ).
tcf(c_15293,plain,
( aElement0(sK4(xS))
| sP0(slcrc0,slcrc0,sK4(xS))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_15255,c_155]) ).
tcf(c_15295,plain,
( aElement0(sK4(xS))
| sP0(slcrc0,slcrc0,sK4(xS))
| ( slcrc0 = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15293,c_51]) ).
tcf(c_15303,plain,
( aElement0(sK4(xS))
| ( slcrc0 = xS ) ),
inference(global_subsumption_just,[status(thm)],[c_15295,c_12210]) ).
tcf(c_15309,plain,
( aElementOf0(sK4(xS),iPr_def_10)
| ( slcrc0 = xS ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5696,c_15303]) ).
tcf(c_15318,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_15309,c_10821]) ).
tcf(c_15320,plain,
! [X0: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_15309,c_57]) ).
tcf(c_15321,plain,
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(xS)),sK4(xS)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_15309,c_86]) ).
tcf(c_15323,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15309,c_12234]) ).
tcf(c_15326,plain,
( aElementOf0(sK4(xS),iPr_def_11)
| ( slcrc0 = xS )
| ( sK4(xS) = xx ) ),
inference(superposition,[status(thm)],[c_15309,c_6071]) ).
tcf(c_15327,plain,
( aElementOf0(sK4(xS),xS)
| ( slcrc0 = xS )
| ( sK4(xS) = xx ) ),
inference(superposition,[status(thm)],[c_15309,c_5778]) ).
tcf(c_15346,plain,
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(xS)),sK4(xS)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15321,c_5539]) ).
tcf(c_15349,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15318,c_5539]) ).
tcf(c_15395,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_15326,c_10821]) ).
tcf(c_15396,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sK4(xS) = X0 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_15326,c_8634]) ).
tcf(c_15397,plain,
! [X0: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_15326,c_57]) ).
tcf(c_15398,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(xS)),sK4(xS)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_15326,c_86]) ).
tcf(c_15400,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_13009]) ).
tcf(c_15401,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_12981]) ).
tcf(c_15402,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_12952]) ).
tcf(c_15403,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_12915]) ).
tcf(c_15404,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_12887]) ).
tcf(c_15405,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_12372]) ).
tcf(c_15406,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_12309]) ).
tcf(c_15410,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_8875]) ).
tcf(c_15452,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(xS)),sK4(xS)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15398,c_6058]) ).
tcf(c_15461,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15395,c_6058]) ).
tcf(c_15524,plain,
( aElementOf0(sK4(xS),xS)
| ( slcrc0 = xS ) ),
inference(global_subsumption_just,[status(thm)],[c_15327,c_14457]) ).
tcf(c_15530,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_15524,c_10821]) ).
tcf(c_15531,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = X0 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK4(xS)) ),
inference(superposition,[status(thm)],[c_15524,c_8634]) ).
tcf(c_15532,plain,
! [X0: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_15524,c_57]) ).
tcf(c_15544,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15530,c_88]) ).
tcf(c_15595,plain,
! [X0: $i] :
( aElement0(X0)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aElementOf0(X0,iPr_def_10)
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15346,c_5523]) ).
tcf(c_15598,plain,
( sP0(iPr_def_10,sdtmndt0(iPr_def_10,sK4(xS)),sK4(xS))
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15346,c_618]) ).
tcf(c_15654,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK4(xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_15320,c_10821]) ).
tcf(c_15655,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = X1 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS))
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_15320,c_8634]) ).
tcf(c_15656,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(xS),X1)
| ( slcrc0 = xS )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_15320,c_57]) ).
tcf(c_15657,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(X0,sK4(xS)),sK4(xS)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_15320,c_86]) ).
tcf(c_15660,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(X0,sK4(xS)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15320,c_6019]) ).
tcf(c_15661,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_15320,c_6017]) ).
tcf(c_15666,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_15320,c_9315]) ).
tcf(c_15671,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_13009]) ).
tcf(c_15672,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_12981]) ).
tcf(c_15673,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_12952]) ).
tcf(c_15674,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_12915]) ).
tcf(c_15675,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_12887]) ).
tcf(c_15676,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_12372]) ).
tcf(c_15677,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_12309]) ).
tcf(c_15678,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_11250]) ).
tcf(c_15679,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_9413]) ).
tcf(c_15680,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_9362]) ).
tcf(c_15681,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_8875]) ).
tcf(c_15684,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15681,c_6058]) ).
tcf(c_15688,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15680,c_6058]) ).
tcf(c_15692,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15679,c_6058]) ).
tcf(c_15696,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15666,c_5539]) ).
tcf(c_15714,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15676,c_6058]) ).
tcf(c_15718,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15674,c_6058]) ).
tcf(c_15722,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15671,c_6058]) ).
tcf(c_15726,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15678,c_6058]) ).
tcf(c_15731,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15677,c_6058]) ).
tcf(c_15735,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15675,c_6058]) ).
tcf(c_15739,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15673,c_6058]) ).
tcf(c_15743,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15672,c_6058]) ).
tcf(c_15851,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK4(xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_15532,c_10821]) ).
tcf(c_15852,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = X1 )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS))
| ~ aSubsetOf0(xS,X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_15532,c_8634]) ).
tcf(c_15853,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(xS),X1)
| ( slcrc0 = xS )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_15532,c_57]) ).
tcf(c_15854,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtpldt0(sdtmndt0(X0,sK4(xS)),sK4(xS)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_15532,c_86]) ).
tcf(c_15856,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(xS,slcrc0) ),
inference(superposition,[status(thm)],[c_15532,c_52]) ).
tcf(c_15857,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(X0,sK4(xS)))
| ~ aSubsetOf0(xS,sdtmndt0(X0,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15532,c_6019]) ).
tcf(c_15858,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(xS,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_15532,c_6017]) ).
tcf(c_15863,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(xS,iPr_def_10) ),
inference(superposition,[status(thm)],[c_15532,c_9315]) ).
tcf(c_15868,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_13009]) ).
tcf(c_15869,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_12981]) ).
tcf(c_15870,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_12952]) ).
tcf(c_15871,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_12915]) ).
tcf(c_15872,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_12887]) ).
tcf(c_15873,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_12372]) ).
tcf(c_15874,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_12309]) ).
tcf(c_15875,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_11250]) ).
tcf(c_15876,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_9413]) ).
tcf(c_15877,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_9362]) ).
tcf(c_15878,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_8875]) ).
tcf(c_15881,plain,
( ( slcrc0 = xS )
| ~ aSubsetOf0(xS,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15856,c_51]) ).
tcf(c_15884,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15878,c_6058]) ).
tcf(c_15888,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15877,c_6058]) ).
tcf(c_15892,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15876,c_6058]) ).
tcf(c_15896,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15863,c_5539,c_7799]) ).
tcf(c_15913,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15873,c_6058]) ).
tcf(c_15917,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15871,c_6058]) ).
tcf(c_15921,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15868,c_6058]) ).
tcf(c_15925,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15875,c_6058]) ).
tcf(c_15930,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15874,c_6058]) ).
tcf(c_15934,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15872,c_6058]) ).
tcf(c_15938,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15870,c_6058]) ).
tcf(c_15942,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15869,c_6058]) ).
tcf(c_16100,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15349,c_6018]) ).
tcf(c_16101,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(xS)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK4(xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_15349,c_6019]) ).
tcf(c_16103,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK4(xS)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15349,c_652]) ).
tcf(c_16109,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15544,c_6018]) ).
tcf(c_16110,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(xS)))
| ~ aElementOf0(sK7(xS,X0,sK4(xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_15544,c_6019]) ).
tcf(c_16112,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,X0,sK4(xS)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15544,c_652]) ).
tcf(c_16119,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6425,c_10821]) ).
tcf(c_16120,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sK7(slcrc0,iPr_def_11,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(slcrc0,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_6425,c_8634]) ).
tcf(c_16121,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElementOf0(sK7(slcrc0,iPr_def_11,X1),X0)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6425,c_57]) ).
tcf(c_16122,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(slcrc0,iPr_def_11,X0)),sK7(slcrc0,iPr_def_11,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6425,c_86]) ).
tcf(c_16130,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16119,c_88]) ).
tcf(c_16134,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(slcrc0,iPr_def_11,X0)),sK7(slcrc0,iPr_def_11,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16122,c_88]) ).
tcf(c_16183,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6453,c_10821]) ).
tcf(c_16184,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sK7(slcrc0,iPr_def_10,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(slcrc0,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_6453,c_8634]) ).
tcf(c_16185,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElementOf0(sK7(slcrc0,iPr_def_10,X1),X0)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6453,c_57]) ).
tcf(c_16186,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(slcrc0,iPr_def_10,X0)),sK7(slcrc0,iPr_def_10,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6453,c_86]) ).
tcf(c_16188,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_10,X2)
| ( sK7(slcrc0,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_13009]) ).
tcf(c_16189,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_12981]) ).
tcf(c_16190,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_12952]) ).
tcf(c_16191,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_12915]) ).
tcf(c_16192,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_12887]) ).
tcf(c_16193,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_12372]) ).
tcf(c_16194,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_12309]) ).
tcf(c_16198,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_8875]) ).
tcf(c_16199,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| aElementOf0(sK7(slcrc0,iPr_def_10,X0),iPr_def_10)
| ( sK7(slcrc0,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6453,c_6055]) ).
tcf(c_16243,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16183,c_6058]) ).
tcf(c_16247,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(slcrc0,iPr_def_10,X0)),sK7(slcrc0,iPr_def_10,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16186,c_6058]) ).
tcf(c_16363,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_10821]) ).
tcf(c_16364,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK5(X0,iPr_def_10) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK5(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_6469,c_8634]) ).
tcf(c_16365,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X1)
| aElementOf0(sK5(X1,iPr_def_10),X0)
| ( sK5(X1,iPr_def_10) = xx )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6469,c_57]) ).
tcf(c_16366,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK5(X0,iPr_def_10)),sK5(X0,iPr_def_10)) = iPr_def_11 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_86]) ).
tcf(c_16367,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElement0(sK5(X0,iPr_def_10))
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_49]) ).
tcf(c_16368,plain,
( aSubsetOf0(iPr_def_10,iPr_def_11)
| ( sK5(iPr_def_11,iPr_def_10) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_6469,c_54]) ).
tcf(c_16369,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_13009]) ).
tcf(c_16370,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_12981]) ).
tcf(c_16371,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_12952]) ).
tcf(c_16372,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_12915]) ).
tcf(c_16373,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_12887]) ).
tcf(c_16374,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_12372]) ).
tcf(c_16375,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_12309]) ).
tcf(c_16379,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_8875]) ).
tcf(c_16380,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),iPr_def_10)
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_6055]) ).
tcf(c_16382,plain,
( aSubsetOf0(iPr_def_10,iPr_def_11)
| ( sK5(iPr_def_11,iPr_def_10) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16368,c_6058,c_5539]) ).
tcf(c_16441,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16363,c_6058]) ).
tcf(c_16446,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK5(X0,iPr_def_10)),sK5(X0,iPr_def_10)) = iPr_def_11 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16366,c_6058]) ).
tcf(c_16489,plain,
( aElementOf0(xx,iPr_def_11)
| ( sK5(iPr_def_11,iPr_def_10) = xx )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_16382,c_5625]) ).
tcf(c_16490,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sK5(iPr_def_11,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_16382,c_7955]) ).
tcf(c_16497,plain,
sK5(iPr_def_11,iPr_def_10) = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_16489,c_6057,c_6058]) ).
tcf(c_16505,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_11)
| ~ aSet0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6537,c_6058,c_13289]) ).
tcf(c_16514,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_10821]) ).
tcf(c_16515,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK5(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16505,c_8634]) ).
tcf(c_16516,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X1)
| aElementOf0(sK5(X1,iPr_def_11),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_16505,c_57]) ).
tcf(c_16517,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK5(X0,iPr_def_11)),sK5(X0,iPr_def_11)) = iPr_def_11 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_86]) ).
tcf(c_16519,plain,
( aSubsetOf0(iPr_def_11,iPr_def_11)
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_16505,c_54]) ).
tcf(c_16533,plain,
aSubsetOf0(iPr_def_11,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_16519,c_6058]) ).
tcf(c_16539,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16514,c_6058]) ).
tcf(c_16543,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK5(X0,iPr_def_11)),sK5(X0,iPr_def_11)) = iPr_def_11 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16517,c_6058]) ).
tcf(c_16591,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_11476,c_6018]) ).
tcf(c_16592,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_11476,c_6019]) ).
tcf(c_16594,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_11476,c_652]) ).
tcf(c_16603,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6908,c_10821]) ).
tcf(c_16604,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6908,c_8634]) ).
tcf(c_16605,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElementOf0(sK7(iPr_def_11,slcrc0,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6908,c_57]) ).
tcf(c_16606,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_11,slcrc0,X1)),sK7(iPr_def_11,slcrc0,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6908,c_86]) ).
tcf(c_16607,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElement0(sK7(iPr_def_11,slcrc0,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6908,c_49]) ).
tcf(c_16610,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X1))
| ~ aSet0(sdtmndt0(X0,sK7(iPr_def_11,slcrc0,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(iPr_def_11,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_6908,c_6019]) ).
tcf(c_16611,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElementOf0(sK7(iPr_def_11,slcrc0,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6908,c_6017]) ).
tcf(c_16612,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElement0(sK7(iPr_def_11,slcrc0,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6908,c_6018]) ).
tcf(c_16613,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElement0(sK7(iPr_def_11,slcrc0,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6908,c_5523]) ).
tcf(c_16615,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6908,c_11027]) ).
tcf(c_16616,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6908,c_9315]) ).
tcf(c_16628,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6908,c_11250]) ).
tcf(c_16629,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6908,c_9413]) ).
tcf(c_16630,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6908,c_9362]) ).
tcf(c_16638,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16630,c_6058]) ).
tcf(c_16642,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16629,c_6058]) ).
tcf(c_16646,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16616,c_5539]) ).
tcf(c_16665,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16615,c_5539]) ).
tcf(c_16713,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_11,iPr_def_11,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6966,c_10821]) ).
tcf(c_16714,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_6966,c_8634]) ).
tcf(c_16715,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_6966,c_57]) ).
tcf(c_16716,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_11,iPr_def_11,X1)),sK7(iPr_def_11,iPr_def_11,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6966,c_86]) ).
tcf(c_16717,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_6966,c_49]) ).
tcf(c_16719,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_6966,c_158]) ).
tcf(c_16720,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ~ aSet0(sdtmndt0(X0,sK7(iPr_def_11,iPr_def_11,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(iPr_def_11,iPr_def_11,X1))) ),
inference(superposition,[status(thm)],[c_6966,c_6019]) ).
tcf(c_16721,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6966,c_6017]) ).
tcf(c_16722,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElement0(sK7(iPr_def_11,iPr_def_11,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6966,c_6018]) ).
tcf(c_16723,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElement0(sK7(iPr_def_11,iPr_def_11,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_6966,c_5523]) ).
tcf(c_16726,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_6966,c_9315]) ).
tcf(c_16738,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_6966,c_11250]) ).
tcf(c_16748,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16726,c_5539]) ).
tcf(c_16762,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = X0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16719,c_6058]) ).
tcf(c_16914,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_10821]) ).
tcf(c_16915,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sK5(X0,iPr_def_11) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK5(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_6538,c_8634]) ).
tcf(c_16916,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X1)
| aElementOf0(sK5(X1,iPr_def_11),X0)
| ( sK5(X1,iPr_def_11) = xx )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6538,c_57]) ).
tcf(c_16917,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK5(X0,iPr_def_11)),sK5(X0,iPr_def_11)) = xS )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_86]) ).
tcf(c_16918,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElement0(sK5(X0,iPr_def_11))
| ( sK5(X0,iPr_def_11) = xx )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_49]) ).
tcf(c_16919,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6538,c_54]) ).
tcf(c_16920,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_10)
| ( sK5(X0,iPr_def_11) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK5(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_6538,c_5615]) ).
tcf(c_16921,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sK5(xS,iPr_def_11) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16919,c_6058,c_88]) ).
tcf(c_16924,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElement0(sK5(X0,iPr_def_11))
| ( sK5(X0,iPr_def_11) = xx )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16918,c_88]) ).
tcf(c_16940,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16914,c_88]) ).
tcf(c_16945,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK5(X0,iPr_def_11)),sK5(X0,iPr_def_11)) = xS )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16917,c_88]) ).
tcf(c_16988,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_16921,c_111]) ).
tcf(c_16989,plain,
( ( xS = iPr_def_11 )
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_16921,c_109]) ).
tcf(c_16992,plain,
( ( xS = iPr_def_11 )
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16989,c_88]) ).
tcf(c_16996,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16988,c_88]) ).
tcf(c_17002,plain,
( ~ aSubsetOf0(xS,iPr_def_11)
| ( sK5(xS,iPr_def_11) = xx ) ),
inference(global_subsumption_just,[status(thm)],[c_16992,c_4835,c_6810,c_6811,c_16992]) ).
tcf(c_17003,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(renaming,[status(thm)],[c_17002]) ).
tcf(c_17019,plain,
( aSubsetOf0(slcrc0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_5565,c_16996]) ).
tcf(c_17020,plain,
( aSubsetOf0(iPr_def_10,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8649,c_16996]) ).
tcf(c_17025,plain,
( aSubsetOf0(slcrc0,xS)
| ( sK5(xS,iPr_def_11) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17019,c_6058,c_51]) ).
tcf(c_17029,plain,
aSubsetOf0(slcrc0,xS),
inference(global_subsumption_just,[status(thm)],[c_17025,c_88,c_51,c_7892,c_10863]) ).
tcf(c_17032,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_17029,c_111]) ).
tcf(c_17033,plain,
( ( slcrc0 = xS )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,slcrc0) ),
inference(superposition,[status(thm)],[c_17029,c_109]) ).
tcf(c_17037,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17032,c_88]) ).
tcf(c_17050,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_10541,c_17037]) ).
tcf(c_17052,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_8992,c_17037]) ).
tcf(c_17053,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17050,c_6058,c_51]) ).
tcf(c_17056,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17052,c_6058,c_51]) ).
tcf(c_17111,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17053,c_111]) ).
tcf(c_17112,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17053,c_109]) ).
tcf(c_17115,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17112,c_88]) ).
tcf(c_17119,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17111,c_88]) ).
tcf(c_17128,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17056,c_8416]) ).
tcf(c_17129,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17056,c_111]) ).
tcf(c_17130,plain,
! [X0: $i] :
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17056,c_109]) ).
tcf(c_17133,plain,
! [X0: $i] :
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17130,c_88]) ).
tcf(c_17137,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17128,c_88]) ).
tcf(c_17141,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17129,c_88]) ).
tcf(c_17147,plain,
( ~ aSubsetOf0(xS,iPr_def_11)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(global_subsumption_just,[status(thm)],[c_17115,c_4835,c_6810,c_6811,c_17115]) ).
tcf(c_17148,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(renaming,[status(thm)],[c_17147]) ).
tcf(c_17164,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_11480,c_6018]) ).
tcf(c_17165,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,X0,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_11480,c_6019]) ).
tcf(c_17167,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_11480,c_652]) ).
tcf(c_17176,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_11,iPr_def_10,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8042,c_10821]) ).
tcf(c_17177,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8042,c_8634]) ).
tcf(c_17178,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8042,c_57]) ).
tcf(c_17179,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_11,iPr_def_10,X1)),sK7(iPr_def_11,iPr_def_10,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8042,c_86]) ).
tcf(c_17180,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElement0(sK7(iPr_def_11,iPr_def_10,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8042,c_49]) ).
tcf(c_17182,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10)
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_158]) ).
tcf(c_17183,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,X1))
| ~ aSet0(sdtmndt0(X0,sK7(iPr_def_11,iPr_def_10,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(iPr_def_11,iPr_def_10,X1))) ),
inference(superposition,[status(thm)],[c_8042,c_6019]) ).
tcf(c_17184,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8042,c_6017]) ).
tcf(c_17185,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElement0(sK7(iPr_def_11,iPr_def_10,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8042,c_6018]) ).
tcf(c_17186,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElement0(sK7(iPr_def_11,iPr_def_10,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8042,c_5523]) ).
tcf(c_17189,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8042,c_9315]) ).
tcf(c_17194,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_13009]) ).
tcf(c_17195,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_12981]) ).
tcf(c_17196,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_12952]) ).
tcf(c_17197,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_12915]) ).
tcf(c_17198,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_12887]) ).
tcf(c_17199,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_12372]) ).
tcf(c_17200,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_12309]) ).
tcf(c_17201,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_11250]) ).
tcf(c_17202,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_9413]) ).
tcf(c_17203,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_9362]) ).
tcf(c_17204,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_8875]) ).
tcf(c_17211,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17204,c_6058]) ).
tcf(c_17215,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17203,c_6058]) ).
tcf(c_17219,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17202,c_6058]) ).
tcf(c_17223,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17199,c_6058]) ).
tcf(c_17227,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17197,c_6058]) ).
tcf(c_17231,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17194,c_6058]) ).
tcf(c_17235,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17189,c_5539]) ).
tcf(c_17253,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17201,c_6058]) ).
tcf(c_17258,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17200,c_6058]) ).
tcf(c_17262,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17198,c_6058]) ).
tcf(c_17266,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17196,c_6058]) ).
tcf(c_17270,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17195,c_6058]) ).
tcf(c_17292,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = X0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10)
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17182,c_6058,c_5539]) ).
tcf(c_17388,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElement0(sK7(slcrc0,iPr_def_10,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_9569,c_8416]) ).
tcf(c_17389,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X1,iPr_def_10))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9569,c_111]) ).
tcf(c_17390,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9569,c_109]) ).
tcf(c_17392,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_9569,c_5625]) ).
tcf(c_17393,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_10))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_9569,c_7684]) ).
tcf(c_17394,plain,
( aSubsetOf0(iPr_def_10,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_9569,c_16996]) ).
tcf(c_17395,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_9569,c_7955]) ).
tcf(c_17396,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_9569,c_8008]) ).
tcf(c_17402,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_9569,c_7314]) ).
tcf(c_17403,plain,
( ( xS = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_9569,c_8005]) ).
tcf(c_17404,plain,
sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_10))) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_17393,c_51]) ).
tcf(c_17408,plain,
( ( xS = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_17403,c_14297]) ).
tcf(c_17409,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_17402,c_16497]) ).
tcf(c_17410,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_17396,c_14297]) ).
tcf(c_17411,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_17395,c_16497]) ).
tcf(c_17425,plain,
( aSubsetOf0(iPr_def_10,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_17394,c_16497]) ).
tcf(c_17475,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_9750,c_8416]) ).
tcf(c_17476,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X1,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9750,c_111]) ).
tcf(c_17477,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9750,c_109]) ).
tcf(c_17482,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_9750,c_17037]) ).
tcf(c_17483,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9750,c_8624]) ).
tcf(c_17484,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_9750,c_7953]) ).
tcf(c_17486,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_9750,c_7312]) ).
tcf(c_17487,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17482,c_6058,c_51]) ).
tcf(c_17490,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17486,c_6058,c_51]) ).
tcf(c_17497,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17484,c_6058,c_51]) ).
tcf(c_17510,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17483,c_6058,c_51]) ).
tcf(c_17559,plain,
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_17404,c_6019]) ).
tcf(c_17561,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_10)))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_17404,c_652]) ).
tcf(c_17567,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17487,c_111]) ).
tcf(c_17568,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17487,c_109]) ).
tcf(c_17571,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17568,c_88]) ).
tcf(c_17575,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17567,c_88]) ).
tcf(c_17586,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_17490,c_6019]) ).
tcf(c_17588,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_17490,c_652]) ).
tcf(c_17595,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6773,c_10821]) ).
tcf(c_17596,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK7(iPr_def_10,slcrc0,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(iPr_def_10,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6773,c_8634]) ).
tcf(c_17597,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| aElementOf0(sK7(iPr_def_10,slcrc0,X1),X0)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6773,c_57]) ).
tcf(c_17598,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_10,slcrc0,X0)),sK7(iPr_def_10,slcrc0,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6773,c_86]) ).
tcf(c_17600,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElementOf0(sK7(iPr_def_10,slcrc0,X0),iPr_def_10)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ~ aElement0(sK7(iPr_def_10,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6773,c_5615]) ).
tcf(c_17610,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17595,c_88]) ).
tcf(c_17614,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_10,slcrc0,X0)),sK7(iPr_def_10,slcrc0,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17598,c_88]) ).
tcf(c_17634,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6777,c_10821]) ).
tcf(c_17635,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK7(iPr_def_10,slcrc0,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(iPr_def_10,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6777,c_8634]) ).
tcf(c_17636,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| aElementOf0(sK7(iPr_def_10,slcrc0,X1),X0)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6777,c_57]) ).
tcf(c_17637,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_10,slcrc0,X0)),sK7(iPr_def_10,slcrc0,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6777,c_86]) ).
tcf(c_17639,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,slcrc0,X2)
| ( sK7(iPr_def_10,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_13009]) ).
tcf(c_17640,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_12981]) ).
tcf(c_17641,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_12952]) ).
tcf(c_17642,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_12915]) ).
tcf(c_17643,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_12887]) ).
tcf(c_17644,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_12372]) ).
tcf(c_17645,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_12309]) ).
tcf(c_17649,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_8875]) ).
tcf(c_17650,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| aElementOf0(sK7(iPr_def_10,slcrc0,X0),iPr_def_10)
| ( sK7(iPr_def_10,slcrc0,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6777,c_6055]) ).
tcf(c_17694,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17634,c_6058]) ).
tcf(c_17698,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_10,slcrc0,X0)),sK7(iPr_def_10,slcrc0,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17637,c_6058]) ).
tcf(c_17759,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6848,c_10821]) ).
tcf(c_17760,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK7(iPr_def_10,iPr_def_10,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_6848,c_8634]) ).
tcf(c_17761,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X1),X0)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6848,c_57]) ).
tcf(c_17762,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_10,iPr_def_10,X0)),sK7(iPr_def_10,iPr_def_10,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6848,c_86]) ).
tcf(c_17764,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),iPr_def_10)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_6848,c_5615]) ).
tcf(c_17774,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17759,c_88]) ).
tcf(c_17778,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_10,iPr_def_10,X0)),sK7(iPr_def_10,iPr_def_10,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17762,c_88]) ).
tcf(c_17838,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6852,c_10821]) ).
tcf(c_17839,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK7(iPr_def_10,iPr_def_10,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_6852,c_8634]) ).
tcf(c_17840,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X1),X0)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6852,c_57]) ).
tcf(c_17841,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)),sK7(iPr_def_10,iPr_def_10,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6852,c_86]) ).
tcf(c_17843,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,iPr_def_10,X2)
| ( sK7(iPr_def_10,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_13009]) ).
tcf(c_17844,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_12981]) ).
tcf(c_17845,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_12952]) ).
tcf(c_17846,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_12915]) ).
tcf(c_17847,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_12887]) ).
tcf(c_17848,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_12372]) ).
tcf(c_17849,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_12309]) ).
tcf(c_17853,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_8875]) ).
tcf(c_17854,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),iPr_def_10)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_6852,c_6055]) ).
tcf(c_17898,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17838,c_6058]) ).
tcf(c_17902,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)),sK7(iPr_def_10,iPr_def_10,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17841,c_6058]) ).
tcf(c_18003,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6911,c_10821]) ).
tcf(c_18004,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sK7(iPr_def_11,slcrc0,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6911,c_8634]) ).
tcf(c_18005,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),X0)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6911,c_57]) ).
tcf(c_18006,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,slcrc0,X0)),sK7(iPr_def_11,slcrc0,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6911,c_86]) ).
tcf(c_18008,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sK7(iPr_def_11,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_13009]) ).
tcf(c_18009,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_12981]) ).
tcf(c_18010,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_12952]) ).
tcf(c_18011,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_12915]) ).
tcf(c_18012,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_12887]) ).
tcf(c_18013,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_12372]) ).
tcf(c_18014,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_12309]) ).
tcf(c_18018,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_8875]) ).
tcf(c_18060,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18003,c_6058]) ).
tcf(c_18064,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,slcrc0,X0)),sK7(iPr_def_11,slcrc0,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18006,c_6058]) ).
tcf(c_18127,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6912,c_10821]) ).
tcf(c_18128,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sK7(iPr_def_11,slcrc0,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(iPr_def_11,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_6912,c_8634]) ).
tcf(c_18129,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),X0)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6912,c_57]) ).
tcf(c_18130,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,slcrc0,X0)),sK7(iPr_def_11,slcrc0,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6912,c_86]) ).
tcf(c_18138,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18127,c_88]) ).
tcf(c_18142,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,slcrc0,X0)),sK7(iPr_def_11,slcrc0,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18130,c_88]) ).
tcf(c_18174,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6969,c_10821]) ).
tcf(c_18175,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK7(iPr_def_11,iPr_def_11,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_6969,c_8634]) ).
tcf(c_18176,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),X0)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_6969,c_57]) ).
tcf(c_18177,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)),sK7(iPr_def_11,iPr_def_11,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_6969,c_86]) ).
tcf(c_18179,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK7(iPr_def_11,iPr_def_11,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_6969,c_158]) ).
tcf(c_18180,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sK7(iPr_def_11,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_13009]) ).
tcf(c_18181,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_12981]) ).
tcf(c_18182,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_12952]) ).
tcf(c_18183,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_12915]) ).
tcf(c_18184,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_12887]) ).
tcf(c_18185,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_12372]) ).
tcf(c_18186,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_12309]) ).
tcf(c_18190,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_8875]) ).
tcf(c_18232,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18174,c_6058]) ).
tcf(c_18236,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK7(iPr_def_11,iPr_def_11,X0) = X0 )
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18179,c_6058]) ).
tcf(c_18241,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)),sK7(iPr_def_11,iPr_def_11,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18177,c_6058]) ).
tcf(c_18315,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6970,c_10821]) ).
tcf(c_18316,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK7(iPr_def_11,iPr_def_11,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_6970,c_8634]) ).
tcf(c_18317,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),X0)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6970,c_57]) ).
tcf(c_18318,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,iPr_def_11,X0)),sK7(iPr_def_11,iPr_def_11,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_6970,c_86]) ).
tcf(c_18326,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18315,c_88]) ).
tcf(c_18330,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,iPr_def_11,X0)),sK7(iPr_def_11,iPr_def_11,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18318,c_88]) ).
tcf(c_18362,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_11484,c_6018]) ).
tcf(c_18363,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_11,X0,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_11484,c_6019]) ).
tcf(c_18365,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_11484,c_652]) ).
tcf(c_18372,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10037,c_8416]) ).
tcf(c_18373,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X1,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10037,c_111]) ).
tcf(c_18374,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10037,c_109]) ).
tcf(c_18379,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_10037,c_17037]) ).
tcf(c_18380,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10037,c_8624]) ).
tcf(c_18381,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_10037,c_7953]) ).
tcf(c_18383,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_10037,c_7312]) ).
tcf(c_18384,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18379,c_6058,c_51]) ).
tcf(c_18387,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18383,c_6058,c_51]) ).
tcf(c_18394,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18381,c_6058,c_51]) ).
tcf(c_18407,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18380,c_6058,c_51]) ).
tcf(c_18449,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(slcrc0,xS,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_10934,c_10821]) ).
tcf(c_18450,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_10934,c_8634]) ).
tcf(c_18451,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElementOf0(sK7(slcrc0,xS,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_10934,c_57]) ).
tcf(c_18452,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(slcrc0,xS,X1)),sK7(slcrc0,xS,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_10934,c_86]) ).
tcf(c_18453,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElement0(sK7(slcrc0,xS,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_10934,c_49]) ).
tcf(c_18455,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = X0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_10,xS)
| ~ aElementOf0(sK7(slcrc0,xS,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_10934,c_158]) ).
tcf(c_18456,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(slcrc0,xS,X1))
| ~ aSet0(sdtmndt0(X0,sK7(slcrc0,xS,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(slcrc0,xS,X1))) ),
inference(superposition,[status(thm)],[c_10934,c_6019]) ).
tcf(c_18457,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElementOf0(sK7(slcrc0,xS,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10934,c_6017]) ).
tcf(c_18458,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElement0(sK7(slcrc0,xS,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10934,c_6018]) ).
tcf(c_18459,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElement0(sK7(slcrc0,xS,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10934,c_5523]) ).
tcf(c_18462,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_10934,c_9315]) ).
tcf(c_18467,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_13009]) ).
tcf(c_18468,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_12981]) ).
tcf(c_18469,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_12952]) ).
tcf(c_18470,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_12915]) ).
tcf(c_18471,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_12887]) ).
tcf(c_18472,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_12372]) ).
tcf(c_18473,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_12309]) ).
tcf(c_18474,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_11250]) ).
tcf(c_18475,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_9413]) ).
tcf(c_18476,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_9362]) ).
tcf(c_18477,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_8875]) ).
tcf(c_18484,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18477,c_6058]) ).
tcf(c_18488,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18476,c_6058]) ).
tcf(c_18492,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18475,c_6058]) ).
tcf(c_18496,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18472,c_6058]) ).
tcf(c_18500,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18470,c_6058]) ).
tcf(c_18504,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18467,c_6058]) ).
tcf(c_18508,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18462,c_5539]) ).
tcf(c_18526,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18474,c_6058]) ).
tcf(c_18531,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18473,c_6058]) ).
tcf(c_18535,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18471,c_6058]) ).
tcf(c_18539,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18469,c_6058]) ).
tcf(c_18543,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18468,c_6058]) ).
tcf(c_18649,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_18384,c_111]) ).
tcf(c_18650,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_18384,c_109]) ).
tcf(c_18653,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18650,c_88]) ).
tcf(c_18657,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18649,c_88]) ).
tcf(c_18691,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_18387,c_6019]) ).
tcf(c_18693,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_18387,c_652]) ).
tcf(c_18700,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8046,c_10821]) ).
tcf(c_18701,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sK7(iPr_def_11,iPr_def_10,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8046,c_8634]) ).
tcf(c_18702,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),X0)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8046,c_57]) ).
tcf(c_18703,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)),sK7(iPr_def_11,iPr_def_10,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8046,c_86]) ).
tcf(c_18705,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sK7(iPr_def_11,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_13009]) ).
tcf(c_18706,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_12981]) ).
tcf(c_18707,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_12952]) ).
tcf(c_18708,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_12915]) ).
tcf(c_18709,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_12887]) ).
tcf(c_18710,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_12372]) ).
tcf(c_18711,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_12309]) ).
tcf(c_18715,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_8875]) ).
tcf(c_18757,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18700,c_6058]) ).
tcf(c_18761,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)),sK7(iPr_def_11,iPr_def_10,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18703,c_6058]) ).
tcf(c_18824,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8047,c_10821]) ).
tcf(c_18825,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sK7(iPr_def_11,iPr_def_10,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8047,c_8634]) ).
tcf(c_18826,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),X0)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_8047,c_57]) ).
tcf(c_18827,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,iPr_def_10,X0)),sK7(iPr_def_11,iPr_def_10,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8047,c_86]) ).
tcf(c_18835,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18824,c_88]) ).
tcf(c_18839,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,iPr_def_10,X0)),sK7(iPr_def_11,iPr_def_10,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18827,c_88]) ).
tcf(c_18860,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElement0(sK7(slcrc0,X0,X2))
| ( sdtmndt0(slcrc0,sK5(X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_8416]) ).
tcf(c_18861,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X2)
| ( sdtmndt0(slcrc0,sK5(X2,X1)) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8647,c_111]) ).
tcf(c_18862,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK5(X0,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8647,c_109]) ).
tcf(c_18864,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_5625]) ).
tcf(c_18866,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_8647,c_15881]) ).
tcf(c_18867,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8647,c_17148]) ).
tcf(c_18868,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8647,c_17003]) ).
tcf(c_18869,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_16996]) ).
tcf(c_18870,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_7955]) ).
tcf(c_18871,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_8008]) ).
tcf(c_18872,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_17037]) ).
tcf(c_18873,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_8624]) ).
tcf(c_18874,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_7953]) ).
tcf(c_18875,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_8082]) ).
tcf(c_18876,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_7312]) ).
tcf(c_18877,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8647,c_7314]) ).
tcf(c_18878,plain,
( ( xS = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_8647,c_8005]) ).
tcf(c_18879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8647,c_9098]) ).
tcf(c_18880,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18875,c_51]) ).
tcf(c_18884,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18872,c_51]) ).
tcf(c_18888,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18871,c_88]) ).
tcf(c_18892,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18870,c_6058]) ).
tcf(c_18899,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18876,c_51]) ).
tcf(c_18903,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18866,c_88,c_51]) ).
tcf(c_18906,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18874,c_51]) ).
tcf(c_18911,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18868,c_6058,c_88]) ).
tcf(c_18914,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18867,c_6058,c_88]) ).
tcf(c_18922,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18873,c_51]) ).
tcf(c_18927,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18869,c_6058]) ).
tcf(c_18943,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18879,c_51]) ).
tcf(c_19022,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,xS))
| ~ aElementOf0(sK5(slcrc0,xS),slcrc0) ),
inference(superposition,[status(thm)],[c_18903,c_6019]) ).
tcf(c_19024,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,xS))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,xS)) ),
inference(superposition,[status(thm)],[c_18903,c_652]) ).
tcf(c_19031,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18880,c_8416]) ).
tcf(c_19032,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_18880,c_111]) ).
tcf(c_19033,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_18880,c_109]) ).
tcf(c_19036,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19033,c_5539]) ).
tcf(c_19041,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19031,c_5539]) ).
tcf(c_19046,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19032,c_5539]) ).
tcf(c_19148,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18884,c_8416]) ).
tcf(c_19149,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_18884,c_111]) ).
tcf(c_19150,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_18884,c_109]) ).
tcf(c_19155,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19150,c_88]) ).
tcf(c_19161,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19149,c_88]) ).
tcf(c_19173,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18888,c_8416]) ).
tcf(c_19174,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,X1)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_18888,c_111]) ).
tcf(c_19175,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_18888,c_109]) ).
tcf(c_19178,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19175,c_5539]) ).
tcf(c_19183,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19173,c_5539]) ).
tcf(c_19188,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19174,c_5539]) ).
tcf(c_19200,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18892,c_8416]) ).
tcf(c_19201,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_18892,c_111]) ).
tcf(c_19202,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_18892,c_109]) ).
tcf(c_19205,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19202,c_5539]) ).
tcf(c_19210,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19200,c_5539]) ).
tcf(c_19215,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19201,c_5539]) ).
tcf(c_19243,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(iPr_def_11,xS))
| ~ aElementOf0(sK5(iPr_def_11,xS),slcrc0) ),
inference(superposition,[status(thm)],[c_18911,c_6019]) ).
tcf(c_19245,plain,
( sP2(slcrc0,slcrc0,sK5(iPr_def_11,xS))
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(iPr_def_11,xS)) ),
inference(superposition,[status(thm)],[c_18911,c_652]) ).
tcf(c_19254,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtmndt0(X1,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6020,c_18899]) ).
tcf(c_19255,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X1,X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5525,c_18899]) ).
tcf(c_19291,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_11488,c_6018]) ).
tcf(c_19292,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(xS,X0,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_11488,c_6019]) ).
tcf(c_19294,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,X0,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_11488,c_652]) ).
tcf(c_19303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(sdtmndt0(X1,X0),X2,sK4(sdtmndt0(X1,X0)))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_6020,c_11390]) ).
tcf(c_19304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X1,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(sdtpldt0(X1,X0),X2,sK4(sdtpldt0(X1,X0)))) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_5525,c_11390]) ).
tcf(c_19305,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5539,c_11390]) ).
tcf(c_19306,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6058,c_11390]) ).
tcf(c_19332,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_12435,c_6019]) ).
tcf(c_19334,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_12435,c_652]) ).
tcf(c_19340,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_19305,c_6018]) ).
tcf(c_19341,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_19305,c_6019]) ).
tcf(c_19343,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_19305,c_652]) ).
tcf(c_19349,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_19306,c_6018]) ).
tcf(c_19350,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,X0,sK4(iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_19306,c_6019]) ).
tcf(c_19352,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,X0,sK4(iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_19306,c_652]) ).
tcf(c_19359,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11))
| ~ aElementOf0(sK5(slcrc0,iPr_def_11),slcrc0) ),
inference(superposition,[status(thm)],[c_18914,c_6019]) ).
tcf(c_19361,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_18914,c_652]) ).
tcf(c_19368,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X0,X1) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8772,c_664]) ).
tcf(c_19369,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,iPr_def_11)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8772,c_81]) ).
tcf(c_19379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,iPr_def_11)
| ~ aElementOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19369,c_52]) ).
tcf(c_19391,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X0,X1) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8782,c_664]) ).
tcf(c_19392,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,iPr_def_10)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8782,c_81]) ).
tcf(c_19402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(slcrc0,X1,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,iPr_def_10)
| ~ aElementOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19392,c_52]) ).
tcf(c_19414,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(X0,X1) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X2)) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8999,c_664]) ).
tcf(c_19415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,iPr_def_11)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_8999,c_81]) ).
tcf(c_19425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aSubsetOf0(X1,iPr_def_11)
| ~ aElementOf0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19415,c_52]) ).
tcf(c_19437,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_9529,c_8416]) ).
tcf(c_19438,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X1,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9529,c_111]) ).
tcf(c_19439,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_9529,c_109]) ).
tcf(c_19444,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_9529,c_17037]) ).
tcf(c_19445,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_9529,c_8624]) ).
tcf(c_19446,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_9529,c_7953]) ).
tcf(c_19448,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_9529,c_7312]) ).
tcf(c_19449,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19444,c_6058,c_51]) ).
tcf(c_19452,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19448,c_6058,c_51]) ).
tcf(c_19459,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19446,c_6058,c_51]) ).
tcf(c_19472,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19445,c_6058,c_51]) ).
tcf(c_19500,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19449,c_111]) ).
tcf(c_19501,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19449,c_109]) ).
tcf(c_19504,plain,
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19501,c_88]) ).
tcf(c_19508,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19500,c_88]) ).
tcf(c_19519,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_19452,c_6019]) ).
tcf(c_19521,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_19452,c_652]) ).
tcf(c_19528,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10938,c_10821]) ).
tcf(c_19529,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sK7(slcrc0,xS,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(slcrc0,xS,X0)) ),
inference(superposition,[status(thm)],[c_10938,c_8634]) ).
tcf(c_19530,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElementOf0(sK7(slcrc0,xS,X1),X0)
| ( sK7(slcrc0,xS,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_10938,c_57]) ).
tcf(c_19531,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(slcrc0,xS,X0)),sK7(slcrc0,xS,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10938,c_86]) ).
tcf(c_19533,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| ( sK7(slcrc0,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_13009]) ).
tcf(c_19534,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_12981]) ).
tcf(c_19535,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_12952]) ).
tcf(c_19536,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_12915]) ).
tcf(c_19537,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_12887]) ).
tcf(c_19538,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_12372]) ).
tcf(c_19539,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_12309]) ).
tcf(c_19543,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_8875]) ).
tcf(c_19585,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(slcrc0,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19528,c_6058]) ).
tcf(c_19589,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(slcrc0,xS,X0)),sK7(slcrc0,xS,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19531,c_6058]) ).
tcf(c_19637,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_11492,c_6018]) ).
tcf(c_19638,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(iPr_def_10)))
| ~ aElementOf0(sK7(xS,X0,sK4(iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_11492,c_6019]) ).
tcf(c_19640,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,X0,sK4(iPr_def_10)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_11492,c_652]) ).
tcf(c_19647,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_12522,c_6019]) ).
tcf(c_19649,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_12522,c_652]) ).
tcf(c_19656,plain,
( ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))),slcrc0) ),
inference(superposition,[status(thm)],[c_12702,c_6019]) ).
tcf(c_19658,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))))
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_12702,c_652]) ).
tcf(c_19665,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_13079,c_6019]) ).
tcf(c_19667,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_13079,c_652]) ).
tcf(c_19674,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_13381,c_6019]) ).
tcf(c_19676,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_13381,c_652]) ).
tcf(c_19683,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK6(X0,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_155,c_10994]) ).
tcf(c_19684,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X1,X2)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(X0,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_154,c_10994]) ).
tcf(c_19685,plain,
( ( sdtmndt0(iPr_def_11,xx) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_87,c_10994]) ).
tcf(c_19686,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK4(X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5469,c_10994]) ).
tcf(c_19687,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK5(X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5563,c_10994]) ).
tcf(c_19688,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(iPr_def_11,sK4(iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5641,c_10994]) ).
tcf(c_19689,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK5(X0,iPr_def_10)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5644,c_10994]) ).
tcf(c_19690,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(iPr_def_11,sK4(xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15303,c_10994]) ).
tcf(c_19691,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_10,X0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7344,c_10994]) ).
tcf(c_19692,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8436,c_10994]) ).
tcf(c_19693,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8432,c_10994]) ).
tcf(c_19694,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5924,c_10994]) ).
tcf(c_19695,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5927,c_10994]) ).
tcf(c_19696,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10744,c_10994]) ).
tcf(c_19697,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(iPr_def_11,sK4(iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6094,c_10994]) ).
tcf(c_19698,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK5(X0,iPr_def_11)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6097,c_10994]) ).
tcf(c_19699,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_11,X0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_7530,c_10994]) ).
tcf(c_19700,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6091,c_10994]) ).
tcf(c_19701,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_10,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6760,c_10994]) ).
tcf(c_19702,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6757,c_10994]) ).
tcf(c_19703,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6835,c_10994]) ).
tcf(c_19704,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6832,c_10994]) ).
tcf(c_19705,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_10,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7354,c_10994]) ).
tcf(c_19706,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7538,c_10994]) ).
tcf(c_19707,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK6(slcrc0,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_14496,c_10994]) ).
tcf(c_19708,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK6(slcrc0,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_14510,c_10994]) ).
tcf(c_19886,plain,
( ( sdtmndt0(iPr_def_11,xx) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11))
| ~ aElementOf0(sK5(slcrc0,iPr_def_11),slcrc0) ),
inference(superposition,[status(thm)],[c_19685,c_6019]) ).
tcf(c_19888,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( sdtmndt0(iPr_def_11,xx) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_19685,c_652]) ).
tcf(c_19895,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElement0(sK7(slcrc0,iPr_def_11,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11457,c_8416]) ).
tcf(c_19896,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X2,sK5(X1,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11457,c_111]) ).
tcf(c_19897,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_11457,c_109]) ).
tcf(c_19902,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_11457,c_17037]) ).
tcf(c_19903,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_11457,c_8624]) ).
tcf(c_19904,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_11457,c_7953]) ).
tcf(c_19906,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_11457,c_7312]) ).
tcf(c_19907,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19902,c_6058,c_51]) ).
tcf(c_19910,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19906,c_6058,c_51]) ).
tcf(c_19917,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19904,c_6058,c_51]) ).
tcf(c_19930,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19903,c_6058,c_51]) ).
tcf(c_20014,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_19907,c_8416]) ).
tcf(c_20015,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19907,c_111]) ).
tcf(c_20016,plain,
! [X0: $i] :
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19907,c_109]) ).
tcf(c_20019,plain,
! [X0: $i] :
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20016,c_88]) ).
tcf(c_20023,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20014,c_88]) ).
tcf(c_20027,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20015,c_88]) ).
tcf(c_20038,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_19910,c_6018]) ).
tcf(c_20039,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_19910,c_6019]) ).
tcf(c_20041,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_19910,c_652]) ).
tcf(c_20048,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_12672,c_6019]) ).
tcf(c_20050,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_12672,c_652]) ).
tcf(c_20056,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_13745,c_6018]) ).
tcf(c_20057,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_13745,c_6019]) ).
tcf(c_20059,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_13745,c_652]) ).
tcf(c_20065,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_13878,c_6018]) ).
tcf(c_20066,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_13878,c_6019]) ).
tcf(c_20068,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_13878,c_652]) ).
tcf(c_20075,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14509,c_10821]) ).
tcf(c_20077,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| aElementOf0(sK6(slcrc0,iPr_def_11,X1),X0)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_14509,c_57]) ).
tcf(c_20078,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK6(slcrc0,iPr_def_11,X0)),sK6(slcrc0,iPr_def_11,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14509,c_86]) ).
tcf(c_20080,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_14509,c_12234]) ).
tcf(c_20083,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| aElementOf0(sK6(slcrc0,iPr_def_11,X0),iPr_def_11)
| ( sK6(slcrc0,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,iPr_def_11,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_14509,c_6071]) ).
tcf(c_20084,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| aElementOf0(sK6(slcrc0,iPr_def_11,X0),xS)
| ( sK6(slcrc0,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,iPr_def_11,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_14509,c_5778]) ).
tcf(c_20109,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(slcrc0,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20075,c_5539]) ).
tcf(c_20113,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK6(slcrc0,iPr_def_11,X0)),sK6(slcrc0,iPr_def_11,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20078,c_5539]) ).
tcf(c_20128,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElement0(sK7(slcrc0,iPr_def_10,X1))
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14773,c_8416]) ).
tcf(c_20129,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sK6(slcrc0,slcrc0,sK5(X1,iPr_def_10)) = sK5(X1,iPr_def_10) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14773,c_111]) ).
tcf(c_20130,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14773,c_109]) ).
tcf(c_20132,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14773,c_5625]) ).
tcf(c_20133,plain,
( ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10)) = sK5(slcrc0,iPr_def_10) )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_14773,c_7684]) ).
tcf(c_20134,plain,
( aSubsetOf0(iPr_def_10,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14773,c_16996]) ).
tcf(c_20135,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_14773,c_7955]) ).
tcf(c_20136,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_14773,c_8008]) ).
tcf(c_20142,plain,
( ( iPr_def_10 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14773,c_7314]) ).
tcf(c_20143,plain,
( ( xS = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_14773,c_8005]) ).
tcf(c_20144,plain,
sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10)) = sK5(slcrc0,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_20133,c_51]) ).
tcf(c_20192,plain,
( sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_20144,c_160]) ).
tcf(c_20193,plain,
( sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK5(slcrc0,iPr_def_10),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10)),slcrc0) ),
inference(superposition,[status(thm)],[c_20144,c_159]) ).
tcf(c_20194,plain,
( aElement0(sK5(slcrc0,iPr_def_10))
| sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10))
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_20144,c_155]) ).
tcf(c_20196,plain,
( aElement0(sK5(slcrc0,iPr_def_10))
| sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20194,c_51]) ).
tcf(c_20199,plain,
( sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_10))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK5(slcrc0,iPr_def_10),slcrc0) ),
inference(light_normalisation,[status(thm)],[c_20192,c_20144]) ).
tcf(c_20203,plain,
aElement0(sK5(slcrc0,iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_20196,c_51,c_5633,c_5648,c_6154]) ).
tcf(c_20205,plain,
( ( sdtmndt0(iPr_def_11,sK5(slcrc0,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20203,c_10994]) ).
tcf(c_20230,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_12023,c_6018]) ).
tcf(c_20231,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_12023,c_6019]) ).
tcf(c_20233,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_12023,c_652]) ).
tcf(c_20244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(X1,X2,sK4(X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20234,c_10821]) ).
tcf(c_20245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK4(X0))
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20234,c_8634]) ).
tcf(c_20250,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(sK4(X0))
| ~ aSet0(sdtmndt0(X1,sK4(X0)))
| ~ aSubsetOf0(X0,sdtmndt0(X1,sK4(X0))) ),
inference(superposition,[status(thm)],[c_20234,c_6019]) ).
tcf(c_20251,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSubsetOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_20234,c_6017]) ).
tcf(c_20252,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtmndt0(X1,X2))
| ~ aSubsetOf0(X0,sdtmndt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_20234,c_6018]) ).
tcf(c_20253,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(X1,X2))
| ~ aSubsetOf0(X0,sdtpldt0(X1,X2)) ),
inference(superposition,[status(thm)],[c_20234,c_5523]) ).
tcf(c_20254,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_12234]) ).
tcf(c_20255,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_11027]) ).
tcf(c_20256,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_9315]) ).
tcf(c_20257,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_11)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_6071]) ).
tcf(c_20258,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_5778]) ).
tcf(c_20259,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_5537]) ).
tcf(c_20260,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS)
| ~ aElement0(sK4(X0)) ),
inference(superposition,[status(thm)],[c_20234,c_5615]) ).
tcf(c_20261,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_13009]) ).
tcf(c_20262,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_12981]) ).
tcf(c_20263,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_12952]) ).
tcf(c_20264,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_12915]) ).
tcf(c_20265,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_12887]) ).
tcf(c_20266,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_12372]) ).
tcf(c_20267,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_12309]) ).
tcf(c_20268,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_11250]) ).
tcf(c_20269,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_9413]) ).
tcf(c_20270,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_9362]) ).
tcf(c_20271,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_8875]) ).
tcf(c_20272,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_6055]) ).
tcf(c_20273,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_6056]) ).
tcf(c_20277,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20273,c_6058]) ).
tcf(c_20281,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20259,c_5539]) ).
tcf(c_20289,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20272,c_6058]) ).
tcf(c_20293,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,xS)
| ~ aElement0(sK4(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20260,c_88]) ).
tcf(c_20298,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20271,c_6058]) ).
tcf(c_20302,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20258,c_5539]) ).
tcf(c_20307,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_11)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20257,c_5539]) ).
tcf(c_20312,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20270,c_6058]) ).
tcf(c_20316,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20269,c_6058]) ).
tcf(c_20320,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20256,c_5539]) ).
tcf(c_20338,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20266,c_6058]) ).
tcf(c_20342,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20264,c_6058]) ).
tcf(c_20346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20261,c_6058]) ).
tcf(c_20350,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20268,c_6058]) ).
tcf(c_20355,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20267,c_6058]) ).
tcf(c_20359,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20265,c_6058]) ).
tcf(c_20363,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20263,c_6058]) ).
tcf(c_20367,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20262,c_6058]) ).
tcf(c_20371,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20255,c_5539]) ).
tcf(c_20376,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20254,c_5539]) ).
tcf(c_20521,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_20248]) ).
tcf(c_20533,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18884,c_20248]) ).
tcf(c_20544,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18892,c_20248]) ).
tcf(c_20545,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18888,c_20248]) ).
tcf(c_20546,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18880,c_20248]) ).
tcf(c_20549,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20545,c_5539]) ).
tcf(c_20554,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20544,c_5539]) ).
tcf(c_20584,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,sdtpldt0(X1,X2))
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5614,c_1570]) ).
tcf(c_20594,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aSet0(xS)
| ~ aElement0(xx)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_8001,c_20584]) ).
tcf(c_20596,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aSet0(iPr_def_11)
| ~ aElement0(xx)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5632,c_20584]) ).
tcf(c_20597,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_11)))
| ~ aElementOf0(X0,sdtmndt0(iPr_def_10,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_6399,c_20584]) ).
tcf(c_20598,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(xS)))
| ~ aElementOf0(X0,sdtmndt0(iPr_def_10,sK4(xS))) ),
inference(superposition,[status(thm)],[c_15346,c_20584]) ).
tcf(c_20599,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_10)))
| ~ aElementOf0(X0,sdtmndt0(xS,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7040,c_20584]) ).
tcf(c_20600,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_11)))
| ~ aElementOf0(X0,sdtmndt0(xS,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_7060,c_20584]) ).
tcf(c_20601,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_11)
| ( slcrc0 = iPr_def_11 )
| ~ aElement0(sK4(iPr_def_11))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11)))
| ~ aElementOf0(X0,sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_8347,c_20584]) ).
tcf(c_20602,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_11)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_10)))
| ~ aElementOf0(X0,sdtmndt0(iPr_def_11,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7113,c_20584]) ).
tcf(c_20603,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ( slcrc0 = iPr_def_10 )
| ~ aElement0(sK4(iPr_def_10))
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_10)))
| ~ aElementOf0(X0,sdtmndt0(iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_8346,c_20584]) ).
tcf(c_20604,plain,
! [X0: $i] :
( aElementOf0(X0,xS)
| ( slcrc0 = xS )
| ~ aElement0(sK4(xS))
| ~ aSet0(sdtmndt0(xS,sK4(xS)))
| ~ aElementOf0(X0,sdtmndt0(xS,sK4(xS))) ),
inference(superposition,[status(thm)],[c_8343,c_20584]) ).
tcf(c_20605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtmndt0(slcrc0,sK7(sdtpldt0(X0,X1),X3,X2)) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20584,c_10821]) ).
tcf(c_20606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSubsetOf0(sdtpldt0(X0,X1),slcrc0) ),
inference(superposition,[status(thm)],[c_20584,c_8634]) ).
tcf(c_20607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X3,X2)
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(X3,X0)
| ~ aSubsetOf0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_20584,c_57]) ).
tcf(c_20608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtmndt0(sdtpldt0(X0,X1),X2),X2) = sdtpldt0(X0,X1) )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20584,c_86]) ).
tcf(c_20609,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20584,c_49]) ).
tcf(c_20610,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X2,sdtpldt0(X0,X1))
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aElementOf0(sK5(sdtpldt0(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_20584,c_54]) ).
tcf(c_20611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,sdtpldt0(X1,X2),X3)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aElementOf0(sK6(X0,sdtpldt0(X1,X2),X3),X1)
| ~ aElementOf0(sK6(X0,sdtpldt0(X1,X2),X3),X0) ),
inference(superposition,[status(thm)],[c_20584,c_159]) ).
tcf(c_20612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,sdtpldt0(X1,X2),X3)
| ( sK7(X0,sdtpldt0(X1,X2),X3) = X3 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElement0(X2)
| ~ aElementOf0(sK7(X0,sdtpldt0(X1,X2),X3),X1)
| ~ aElementOf0(sK7(X0,sdtpldt0(X1,X2),X3),X0) ),
inference(superposition,[status(thm)],[c_20584,c_158]) ).
tcf(c_20613,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ~ aSet0(X1)
| ~ aElement0(X2)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20584,c_5523]) ).
tcf(c_20619,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20594,c_88,c_87]) ).
tcf(c_20772,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_10)
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_20619]) ).
tcf(c_20773,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),iPr_def_10)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_20619]) ).
tcf(c_20774,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),iPr_def_10)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_20619]) ).
tcf(c_20775,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),iPr_def_10)
| aElementOf0(sK7(X0,xS,X1),X0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_20619]) ).
tcf(c_20776,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| aElementOf0(sK7(xS,X0,X1),X0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_20619]) ).
tcf(c_20778,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_20619]) ).
tcf(c_20779,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_20619]) ).
tcf(c_20781,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| aElement0(sK7(iPr_def_10,xS,X0))
| aElementOf0(sK7(iPr_def_10,xS,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_5827,c_20619]) ).
tcf(c_20782,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),iPr_def_10)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_20619]) ).
tcf(c_20783,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_10)
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_20619]) ).
tcf(c_20788,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_6137,c_20619]) ).
tcf(c_20789,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElement0(sK7(iPr_def_11,xS,X0))
| aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_6101,c_20619]) ).
tcf(c_20790,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| aElementOf0(sK6(slcrc0,xS,X0),iPr_def_10)
| ( sK6(slcrc0,xS,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_20619]) ).
tcf(c_20795,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_10)
| ( sK5(X0,iPr_def_11) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_20619]) ).
tcf(c_20809,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20782,c_88]) ).
tcf(c_20812,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20779,c_88]) ).
tcf(c_20815,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_10)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20772,c_88]) ).
tcf(c_20825,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20778,c_88]) ).
tcf(c_20836,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20783,c_88]) ).
tcf(c_20840,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| aElementOf0(sK7(xS,X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20776,c_88]) ).
tcf(c_20848,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),iPr_def_10)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20774,c_88]) ).
tcf(c_20946,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20788,c_10821]) ).
tcf(c_20948,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20788,c_57]) ).
tcf(c_20949,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20788,c_86]) ).
tcf(c_20951,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20788,c_12234]) ).
tcf(c_20954,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_11)
| ( sK7(iPr_def_11,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_20788,c_6071]) ).
tcf(c_20955,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElementOf0(sK7(iPr_def_11,xS,X0),xS)
| ( sK7(iPr_def_11,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_20788,c_5778]) ).
tcf(c_20956,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_20788,c_5537]) ).
tcf(c_20976,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20946,c_5539]) ).
tcf(c_20979,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20949,c_5539]) ).
tcf(c_21020,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20956,c_10994]) ).
tcf(c_21021,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X0)) = sK7(iPr_def_11,xS,X0) ) ),
inference(superposition,[status(thm)],[c_20956,c_14758]) ).
tcf(c_21022,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20956,c_8332]) ).
tcf(c_21045,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20809,c_10821]) ).
tcf(c_21047,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20809,c_57]) ).
tcf(c_21048,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20809,c_86]) ).
tcf(c_21050,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20809,c_12234]) ).
tcf(c_21053,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),iPr_def_11)
| ( sK7(xS,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_20809,c_6071]) ).
tcf(c_21054,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElementOf0(sK7(xS,xS,X0),xS)
| ( sK7(xS,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_20809,c_5778]) ).
tcf(c_21055,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_20809,c_5537]) ).
tcf(c_21075,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21045,c_5539]) ).
tcf(c_21078,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21048,c_5539]) ).
tcf(c_21110,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(xS,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21055,c_10994]) ).
tcf(c_21111,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,X0)) = sK7(xS,xS,X0) ) ),
inference(superposition,[status(thm)],[c_21055,c_14758]) ).
tcf(c_21112,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21055,c_8332]) ).
tcf(c_21172,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20812,c_10821]) ).
tcf(c_21174,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20812,c_57]) ).
tcf(c_21175,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20812,c_86]) ).
tcf(c_21177,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20812,c_12234]) ).
tcf(c_21180,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),iPr_def_11)
| ( sK7(xS,slcrc0,X0) = xx ) ),
inference(superposition,[status(thm)],[c_20812,c_6071]) ).
tcf(c_21181,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElementOf0(sK7(xS,slcrc0,X0),xS)
| ( sK7(xS,slcrc0,X0) = xx ) ),
inference(superposition,[status(thm)],[c_20812,c_5778]) ).
tcf(c_21182,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_20812,c_5537]) ).
tcf(c_21202,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21172,c_5539]) ).
tcf(c_21205,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21175,c_5539]) ).
tcf(c_21235,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21182,c_10994]) ).
tcf(c_21236,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_21182,c_14758]) ).
tcf(c_21237,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21182,c_8332]) ).
tcf(c_21254,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_20277]) ).
tcf(c_21274,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_10,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_20281]) ).
tcf(c_21292,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_10,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21274,c_5539]) ).
tcf(c_21303,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_10821]) ).
tcf(c_21305,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X1)
| aElementOf0(sK5(X1,xS),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20815,c_57]) ).
tcf(c_21306,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,xS)),sK5(X0,xS)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_86]) ).
tcf(c_21307,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_49]) ).
tcf(c_21309,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_12234]) ).
tcf(c_21312,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_11)
| ( sK5(X0,xS) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_6071]) ).
tcf(c_21313,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),xS)
| ( sK5(X0,xS) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_5778]) ).
tcf(c_21314,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_5537]) ).
tcf(c_21342,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21303,c_5539]) ).
tcf(c_21346,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,xS)),sK5(X0,xS)) = iPr_def_10 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21306,c_5539]) ).
tcf(c_21362,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK5(X0,xS)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21314,c_10994]) ).
tcf(c_21363,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK5(X0,xS)) = sK5(X0,xS) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21314,c_14758]) ).
tcf(c_21364,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK5(X0,xS)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21314,c_8332]) ).
tcf(c_21386,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_10821]) ).
tcf(c_21388,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_57]) ).
tcf(c_21389,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(X0)),sK4(X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_86]) ).
tcf(c_21390,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_49]) ).
tcf(c_21391,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_12234]) ).
tcf(c_21394,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_11)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_6071]) ).
tcf(c_21395,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_5778]) ).
tcf(c_21421,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(X0)),sK4(X0)) = iPr_def_10 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21389,c_5539]) ).
tcf(c_21425,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21386,c_5539]) ).
tcf(c_21490,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,X1,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20840,c_10821]) ).
tcf(c_21492,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| aElementOf0(sK7(xS,X1,X2),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20840,c_57]) ).
tcf(c_21493,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,X0,X1)),sK7(xS,X0,X1)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20840,c_86]) ).
tcf(c_21496,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,X0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_12234]) ).
tcf(c_21499,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_11)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sK7(xS,X0,X1) = xx ) ),
inference(superposition,[status(thm)],[c_20840,c_6071]) ).
tcf(c_21500,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),xS)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sK7(xS,X0,X1) = xx ) ),
inference(superposition,[status(thm)],[c_20840,c_5778]) ).
tcf(c_21501,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElement0(sK7(xS,X0,X1))
| aElementOf0(sK7(xS,X0,X1),X0) ),
inference(superposition,[status(thm)],[c_20840,c_5537]) ).
tcf(c_21502,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X0,X2)
| aElementOf0(sK7(xS,X0,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(xS,X0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_10821]) ).
tcf(c_21503,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| ( sK7(xS,X0,X1) = X2 )
| ~ aSubsetOf0(X0,slcrc0)
| ~ aElement0(sK7(xS,X0,X1)) ),
inference(superposition,[status(thm)],[c_20840,c_8634]) ).
tcf(c_21504,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X0,X2)
| aElementOf0(sK7(xS,X0,X2),iPr_def_10)
| aElementOf0(sK7(xS,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20840,c_57]) ).
tcf(c_21505,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| ( sdtpldt0(sdtmndt0(X0,sK7(xS,X0,X1)),sK7(xS,X0,X1)) = X0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_86]) ).
tcf(c_21506,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElement0(sK7(xS,X0,X1))
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_49]) ).
tcf(c_21508,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| ( sK7(xS,X0,X1) = X1 )
| ~ aSet0(xS)
| ~ aElementOf0(sK7(xS,X0,X1),xS) ),
inference(superposition,[status(thm)],[c_20840,c_158]) ).
tcf(c_21509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,sdtmndt0(X1,X0),X2)
| aElementOf0(sK7(xS,sdtmndt0(X1,X0),X2),iPr_def_10)
| aElementOf0(sK7(xS,sdtmndt0(X1,X0),X2),X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_6017]) ).
tcf(c_21510,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,sdtmndt0(X1,X0),X2)
| aElement0(sK7(xS,sdtmndt0(X1,X0),X2))
| aElementOf0(sK7(xS,sdtmndt0(X1,X0),X2),iPr_def_10)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_6018]) ).
tcf(c_21511,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,sdtpldt0(X1,X0),X2)
| aElement0(sK7(xS,sdtpldt0(X1,X0),X2))
| aElementOf0(sK7(xS,sdtpldt0(X1,X0),X2),iPr_def_10)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_5523]) ).
tcf(c_21519,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElementOf0(sK7(xS,iPr_def_11,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_13009]) ).
tcf(c_21520,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_12981]) ).
tcf(c_21521,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_12952]) ).
tcf(c_21522,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_12915]) ).
tcf(c_21524,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_12372]) ).
tcf(c_21526,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20840,c_11250]) ).
tcf(c_21529,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_8875]) ).
tcf(c_21530,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElementOf0(sK7(xS,iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_20840,c_6055]) ).
tcf(c_21531,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| aElementOf0(sK7(xS,iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_20840,c_6056]) ).
tcf(c_21532,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElementOf0(sK7(xS,iPr_def_10,X0),iPr_def_10) ),
inference(equality_factoring,[status(thm)],[c_20840]) ).
tcf(c_21613,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,X1,X2))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21490,c_5539]) ).
tcf(c_21627,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),iPr_def_10)
| ( sK7(xS,X0,X1) = X1 )
| ~ aElementOf0(sK7(xS,X0,X1),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21508,c_88]) ).
tcf(c_21641,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,X0,X1)),sK7(xS,X0,X1)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21493,c_5539]) ).
tcf(c_21860,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(iPr_def_11,xS,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20948,c_10821]) ).
tcf(c_21861,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_20948,c_8634]) ).
tcf(c_21862,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20948,c_57]) ).
tcf(c_21863,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(iPr_def_11,xS,X1)),sK7(iPr_def_11,xS,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20948,c_86]) ).
tcf(c_21864,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20948,c_49]) ).
tcf(c_21866,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS)
| ~ aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_158]) ).
tcf(c_21867,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(iPr_def_11,xS,X1))
| ~ aSet0(sdtmndt0(X0,sK7(iPr_def_11,xS,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(iPr_def_11,xS,X1))) ),
inference(superposition,[status(thm)],[c_20948,c_6019]) ).
tcf(c_21868,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20948,c_6017]) ).
tcf(c_21869,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElement0(sK7(iPr_def_11,xS,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20948,c_6018]) ).
tcf(c_21870,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElement0(sK7(iPr_def_11,xS,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20948,c_5523]) ).
tcf(c_21873,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20948,c_9315]) ).
tcf(c_21878,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_13009]) ).
tcf(c_21879,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_12981]) ).
tcf(c_21880,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_12952]) ).
tcf(c_21881,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_12915]) ).
tcf(c_21882,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_12887]) ).
tcf(c_21883,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_12372]) ).
tcf(c_21884,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_12309]) ).
tcf(c_21885,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_11250]) ).
tcf(c_21886,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_9413]) ).
tcf(c_21887,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_9362]) ).
tcf(c_21888,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_8875]) ).
tcf(c_21895,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21888,c_6058]) ).
tcf(c_21899,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21887,c_6058]) ).
tcf(c_21903,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21886,c_6058]) ).
tcf(c_21907,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21883,c_6058]) ).
tcf(c_21911,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21881,c_6058]) ).
tcf(c_21915,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21878,c_6058]) ).
tcf(c_21919,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21873,c_5539]) ).
tcf(c_21937,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21885,c_6058]) ).
tcf(c_21942,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21884,c_6058]) ).
tcf(c_21946,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21882,c_6058]) ).
tcf(c_21950,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21880,c_6058]) ).
tcf(c_21954,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21879,c_6058]) ).
tcf(c_21976,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = X0 )
| ~ aSubsetOf0(iPr_def_10,xS)
| ~ aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21866,c_6058,c_88]) ).
tcf(c_22069,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_21530,c_10821]) ).
tcf(c_22071,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21530,c_57]) ).
tcf(c_22072,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,iPr_def_11,X0)),sK7(xS,iPr_def_11,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_21530,c_86]) ).
tcf(c_22074,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21530,c_12234]) ).
tcf(c_22077,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElementOf0(sK7(xS,iPr_def_11,X0),iPr_def_11)
| ( sK7(xS,iPr_def_11,X0) = xx ) ),
inference(superposition,[status(thm)],[c_21530,c_6071]) ).
tcf(c_22078,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElementOf0(sK7(xS,iPr_def_11,X0),xS)
| ( sK7(xS,iPr_def_11,X0) = xx ) ),
inference(superposition,[status(thm)],[c_21530,c_5778]) ).
tcf(c_22079,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_21530,c_5537]) ).
tcf(c_22099,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22069,c_5539]) ).
tcf(c_22102,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,iPr_def_11,X0)),sK7(xS,iPr_def_11,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22072,c_5539]) ).
tcf(c_22131,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_22079,c_10994]) ).
tcf(c_22132,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,iPr_def_11,X0)) = sK7(xS,iPr_def_11,X0) ) ),
inference(superposition,[status(thm)],[c_22079,c_14758]) ).
tcf(c_22133,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_22079,c_8332]) ).
tcf(c_22148,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_21532,c_10821]) ).
tcf(c_22150,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| aElementOf0(sK7(xS,iPr_def_10,X1),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21532,c_57]) ).
tcf(c_22151,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,iPr_def_10,X0)),sK7(xS,iPr_def_10,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_21532,c_86]) ).
tcf(c_22153,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK7(xS,iPr_def_10,X0) = X0 )
| ~ aSet0(xS)
| ~ aElementOf0(sK7(xS,iPr_def_10,X0),xS) ),
inference(superposition,[status(thm)],[c_21532,c_158]) ).
tcf(c_22154,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21532,c_12234]) ).
tcf(c_22157,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElementOf0(sK7(xS,iPr_def_10,X0),iPr_def_11)
| ( sK7(xS,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_21532,c_6071]) ).
tcf(c_22158,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElementOf0(sK7(xS,iPr_def_10,X0),xS)
| ( sK7(xS,iPr_def_10,X0) = xx ) ),
inference(superposition,[status(thm)],[c_21532,c_5778]) ).
tcf(c_22159,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_21532,c_5537]) ).
tcf(c_22179,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22148,c_5539]) ).
tcf(c_22182,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK7(xS,iPr_def_10,X0) = X0 )
| ~ aElementOf0(sK7(xS,iPr_def_10,X0),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22153,c_88]) ).
tcf(c_22186,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(xS,iPr_def_10,X0)),sK7(xS,iPr_def_10,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22151,c_5539]) ).
tcf(c_22222,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(xS,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_22159,c_10994]) ).
tcf(c_22223,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,iPr_def_10,X0)) = sK7(xS,iPr_def_10,X0) ) ),
inference(superposition,[status(thm)],[c_22159,c_14758]) ).
tcf(c_22224,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_22159,c_8332]) ).
tcf(c_22243,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_10821]) ).
tcf(c_22245,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_57]) ).
tcf(c_22246,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(X0)),sK4(X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_86]) ).
tcf(c_22247,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_49]) ).
tcf(c_22248,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_12234]) ).
tcf(c_22251,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_11)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_6071]) ).
tcf(c_22252,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_5778]) ).
tcf(c_22253,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_5537]) ).
tcf(c_22281,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK4(X0)),sK4(X0)) = iPr_def_10 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22246,c_5539]) ).
tcf(c_22285,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22243,c_5539]) ).
tcf(c_22295,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(xS,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_22253]) ).
tcf(c_22320,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21022,c_664]) ).
tcf(c_22321,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21022,c_81]) ).
tcf(c_22322,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21022,c_83]) ).
tcf(c_22323,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21022,c_82]) ).
tcf(c_22324,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21022,c_84]) ).
tcf(c_22334,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22320,c_88]) ).
tcf(c_22515,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21112,c_664]) ).
tcf(c_22518,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21112,c_82]) ).
tcf(c_22519,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,xS,X0)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21112,c_84]) ).
tcf(c_22526,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22515,c_88]) ).
tcf(c_22536,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21237,c_664]) ).
tcf(c_22538,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21237,c_83]) ).
tcf(c_22547,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22538,c_52]) ).
tcf(c_22550,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22536,c_51]) ).
tcf(c_22569,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22133,c_664]) ).
tcf(c_22570,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,xS)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22133,c_81]) ).
tcf(c_22571,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22133,c_83]) ).
tcf(c_22572,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22133,c_82]) ).
tcf(c_22573,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22133,c_84]) ).
tcf(c_22583,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22569,c_6058]) ).
tcf(c_22599,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X0)) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22224,c_664]) ).
tcf(c_22600,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,xS)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_22224,c_81]) ).
tcf(c_22601,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22224,c_83]) ).
tcf(c_22602,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X1)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22224,c_82]) ).
tcf(c_22603,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X0)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22224,c_84]) ).
tcf(c_22613,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22599,c_5539]) ).
tcf(c_22636,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))),slcrc0) ),
inference(superposition,[status(thm)],[c_12431,c_6019]) ).
tcf(c_22638,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_12431,c_652]) ).
tcf(c_22649,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_22324]) ).
tcf(c_22650,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22324]) ).
tcf(c_22651,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK6(X0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22324]) ).
tcf(c_22652,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK6(iPr_def_11,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_22324]) ).
tcf(c_22653,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(X0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22324]) ).
tcf(c_22654,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_22324]) ).
tcf(c_22655,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_22324]) ).
tcf(c_22656,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_22324]) ).
tcf(c_22657,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_22324]) ).
tcf(c_22658,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22324]) ).
tcf(c_22661,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_22324]) ).
tcf(c_22662,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_22324]) ).
tcf(c_22665,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK6(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22324]) ).
tcf(c_22668,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_22324]) ).
tcf(c_22669,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_22324]) ).
tcf(c_22670,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_22324]) ).
tcf(c_22671,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_22324]) ).
tcf(c_22672,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_22324]) ).
tcf(c_22673,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_22324]) ).
tcf(c_22674,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_22324]) ).
tcf(c_22675,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_22324]) ).
tcf(c_22676,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_22324]) ).
tcf(c_22677,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_22324]) ).
tcf(c_22679,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_22324]) ).
tcf(c_22681,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_22324]) ).
tcf(c_22682,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_22324]) ).
tcf(c_22683,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_22324]) ).
tcf(c_22684,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_22324]) ).
tcf(c_22685,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_22324]) ).
tcf(c_22686,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_22324]) ).
tcf(c_22692,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22649,c_6058]) ).
tcf(c_22704,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22661,c_6058]) ).
tcf(c_22707,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22657,c_6058]) ).
tcf(c_22712,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22674,c_6058]) ).
tcf(c_22716,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22673,c_6058]) ).
tcf(c_22720,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22656,c_6058]) ).
tcf(c_22724,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22686,c_6058]) ).
tcf(c_22728,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22685,c_6058]) ).
tcf(c_22735,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22683,c_6058]) ).
tcf(c_22764,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22662,c_6058]) ).
tcf(c_22768,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22654,c_6058]) ).
tcf(c_22776,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK6(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22652,c_6058]) ).
tcf(c_22857,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22519]) ).
tcf(c_22858,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK6(X0,xS,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22519]) ).
tcf(c_22859,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK6(xS,X0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_22519]) ).
tcf(c_22860,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(X0,xS,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22519]) ).
tcf(c_22861,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,X0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_22519]) ).
tcf(c_22862,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_22519]) ).
tcf(c_22863,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_22519]) ).
tcf(c_22864,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_22519]) ).
tcf(c_22865,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22519]) ).
tcf(c_22866,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| aElement0(sK7(iPr_def_10,xS,X0))
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_10,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_22519]) ).
tcf(c_22868,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_22519]) ).
tcf(c_22869,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_22519]) ).
tcf(c_22870,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_22519]) ).
tcf(c_22871,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_22519]) ).
tcf(c_22872,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_22519]) ).
tcf(c_22873,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(xS))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_22519]) ).
tcf(c_22876,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK6(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22519]) ).
tcf(c_22877,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_22519]) ).
tcf(c_22878,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_22519]) ).
tcf(c_22879,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_22519]) ).
tcf(c_22880,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_22519]) ).
tcf(c_22881,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_22519]) ).
tcf(c_22884,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_22519]) ).
tcf(c_22885,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_22519]) ).
tcf(c_22886,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_22519]) ).
tcf(c_22887,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_22519]) ).
tcf(c_22888,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_22519]) ).
tcf(c_22889,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_22519]) ).
tcf(c_22890,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_22519]) ).
tcf(c_22891,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_22519]) ).
tcf(c_22893,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_22519]) ).
tcf(c_22904,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22868,c_88]) ).
tcf(c_22907,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22864,c_88]) ).
tcf(c_22911,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22857,c_88]) ).
tcf(c_22915,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22877,c_88]) ).
tcf(c_22922,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22863,c_88]) ).
tcf(c_22926,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22893,c_88]) ).
tcf(c_22930,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22891,c_88]) ).
tcf(c_22940,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22888,c_88]) ).
tcf(c_22947,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22886,c_88]) ).
tcf(c_22964,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22879,c_88]) ).
tcf(c_22978,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22869,c_88]) ).
tcf(c_22982,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22861,c_88]) ).
tcf(c_22990,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK6(xS,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22859,c_88]) ).
tcf(c_23129,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22547]) ).
tcf(c_23130,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22547]) ).
tcf(c_23131,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_22547]) ).
tcf(c_23132,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22547]) ).
tcf(c_23133,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_22547]) ).
tcf(c_23134,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_22547]) ).
tcf(c_23135,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_22547]) ).
tcf(c_23136,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_22547]) ).
tcf(c_23137,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22547]) ).
tcf(c_23138,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_22547]) ).
tcf(c_23139,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_22547]) ).
tcf(c_23140,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_22547]) ).
tcf(c_23141,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_22547]) ).
tcf(c_23142,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_22547]) ).
tcf(c_23143,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_22547]) ).
tcf(c_23144,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_22547]) ).
tcf(c_23145,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_22547]) ).
tcf(c_23146,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_22547]) ).
tcf(c_23147,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_22547]) ).
tcf(c_23148,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22547]) ).
tcf(c_23149,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_22547]) ).
tcf(c_23150,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_22547]) ).
tcf(c_23151,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_22547]) ).
tcf(c_23152,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_22547]) ).
tcf(c_23153,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_22547]) ).
tcf(c_23156,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_22547]) ).
tcf(c_23157,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_22547]) ).
tcf(c_23158,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_22547]) ).
tcf(c_23159,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_22547]) ).
tcf(c_23160,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_22547]) ).
tcf(c_23161,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_22547]) ).
tcf(c_23162,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_22547]) ).
tcf(c_23163,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_22547]) ).
tcf(c_23165,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_22547]) ).
tcf(c_23170,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23140,c_88]) ).
tcf(c_23173,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23136,c_88]) ).
tcf(c_23188,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23129,c_88]) ).
tcf(c_23198,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23165,c_88]) ).
tcf(c_23202,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23163,c_88]) ).
tcf(c_23212,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23160,c_88]) ).
tcf(c_23219,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23158,c_88]) ).
tcf(c_23232,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23151,c_88]) ).
tcf(c_23236,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23149,c_88]) ).
tcf(c_23246,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23141,c_88]) ).
tcf(c_23250,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23135,c_88]) ).
tcf(c_23263,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23133,c_88]) ).
tcf(c_23271,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23131,c_88]) ).
tcf(c_23570,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22573]) ).
tcf(c_23571,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK6(X0,xS,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22573]) ).
tcf(c_23572,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK6(xS,X0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_22573]) ).
tcf(c_23573,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(X0,xS,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22573]) ).
tcf(c_23574,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,X0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_22573]) ).
tcf(c_23575,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_22573]) ).
tcf(c_23576,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_22573]) ).
tcf(c_23577,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_22573]) ).
tcf(c_23578,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22573]) ).
tcf(c_23579,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| aElement0(sK7(iPr_def_10,xS,X0))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_10,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_22573]) ).
tcf(c_23581,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_22573]) ).
tcf(c_23582,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_22573]) ).
tcf(c_23583,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_22573]) ).
tcf(c_23584,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_22573]) ).
tcf(c_23585,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_22573]) ).
tcf(c_23586,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(xS))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_22573]) ).
tcf(c_23589,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK6(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22573]) ).
tcf(c_23590,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_22573]) ).
tcf(c_23591,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_22573]) ).
tcf(c_23592,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_22573]) ).
tcf(c_23593,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_22573]) ).
tcf(c_23594,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_22573]) ).
tcf(c_23597,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_22573]) ).
tcf(c_23598,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_22573]) ).
tcf(c_23599,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_22573]) ).
tcf(c_23600,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_22573]) ).
tcf(c_23601,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_22573]) ).
tcf(c_23602,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_22573]) ).
tcf(c_23603,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_22573]) ).
tcf(c_23604,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_22573]) ).
tcf(c_23606,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_22573]) ).
tcf(c_23617,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23581,c_88]) ).
tcf(c_23620,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23577,c_88]) ).
tcf(c_23624,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23570,c_88]) ).
tcf(c_23628,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23590,c_88]) ).
tcf(c_23635,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23576,c_88]) ).
tcf(c_23639,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23606,c_88]) ).
tcf(c_23643,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23604,c_88]) ).
tcf(c_23653,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23601,c_88]) ).
tcf(c_23660,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23599,c_88]) ).
tcf(c_23677,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23592,c_88]) ).
tcf(c_23691,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23582,c_88]) ).
tcf(c_23695,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23574,c_88]) ).
tcf(c_23703,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK6(xS,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23572,c_88]) ).
tcf(c_23811,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22603]) ).
tcf(c_23812,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK6(X0,xS,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22603]) ).
tcf(c_23813,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK6(xS,X0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_22603]) ).
tcf(c_23814,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(X0,xS,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22603]) ).
tcf(c_23815,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,X0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_22603]) ).
tcf(c_23816,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_22603]) ).
tcf(c_23817,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_22603]) ).
tcf(c_23818,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_22603]) ).
tcf(c_23819,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22603]) ).
tcf(c_23820,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| aElement0(sK7(iPr_def_10,xS,X0))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_10,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_22603]) ).
tcf(c_23822,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_22603]) ).
tcf(c_23823,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_22603]) ).
tcf(c_23824,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_22603]) ).
tcf(c_23825,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_22603]) ).
tcf(c_23826,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_22603]) ).
tcf(c_23827,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(xS))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_22603]) ).
tcf(c_23830,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK6(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22603]) ).
tcf(c_23831,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_22603]) ).
tcf(c_23832,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_22603]) ).
tcf(c_23833,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_22603]) ).
tcf(c_23834,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_22603]) ).
tcf(c_23835,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_22603]) ).
tcf(c_23838,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_22603]) ).
tcf(c_23839,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_22603]) ).
tcf(c_23840,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_22603]) ).
tcf(c_23841,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_22603]) ).
tcf(c_23842,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_22603]) ).
tcf(c_23843,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_22603]) ).
tcf(c_23844,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_22603]) ).
tcf(c_23845,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_22603]) ).
tcf(c_23847,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_22603]) ).
tcf(c_23858,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23822,c_88]) ).
tcf(c_23861,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23818,c_88]) ).
tcf(c_23865,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23811,c_88]) ).
tcf(c_23869,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23831,c_88]) ).
tcf(c_23876,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23817,c_88]) ).
tcf(c_23880,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23847,c_88]) ).
tcf(c_23884,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23845,c_88]) ).
tcf(c_23894,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23842,c_88]) ).
tcf(c_23901,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23840,c_88]) ).
tcf(c_23918,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23833,c_88]) ).
tcf(c_23932,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23823,c_88]) ).
tcf(c_23936,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23815,c_88]) ).
tcf(c_23944,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK6(xS,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23813,c_88]) ).
tcf(c_24057,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23137,c_664]) ).
tcf(c_24058,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23137,c_81]) ).
tcf(c_24063,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24057,c_88]) ).
tcf(c_24067,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24058,c_52]) ).
tcf(c_24078,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_23145,c_6018]) ).
tcf(c_24079,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0))
| ~ aElementOf0(sK7(xS,slcrc0,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_23145,c_6019]) ).
tcf(c_24081,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,slcrc0,X0))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_23145,c_652]) ).
tcf(c_24086,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23170,c_664]) ).
tcf(c_24092,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24086,c_88]) ).
tcf(c_24101,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23173,c_664]) ).
tcf(c_24107,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24101,c_51]) ).
tcf(c_24117,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_10821]) ).
tcf(c_24119,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_57]) ).
tcf(c_24120,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,X0,X1)),sK7(slcrc0,X0,X1)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_86]) ).
tcf(c_24121,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_49]) ).
tcf(c_24122,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = X0 )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_10,xS)
| ~ aElementOf0(sK7(slcrc0,iPr_def_10,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_20836,c_158]) ).
tcf(c_24123,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_12234]) ).
tcf(c_24126,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),iPr_def_11)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_6071]) ).
tcf(c_24127,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElementOf0(sK7(slcrc0,X0,X1),xS)
| ( sK7(slcrc0,X0,X1) = xx )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_5778]) ).
tcf(c_24128,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_5537]) ).
tcf(c_24156,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24117,c_5539]) ).
tcf(c_24160,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(slcrc0,X0,X1)),sK7(slcrc0,X0,X1)) = iPr_def_10 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24120,c_5539]) ).
tcf(c_24189,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24128,c_10994]) ).
tcf(c_24190,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,X0,X1)) = sK7(slcrc0,X0,X1) )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24128,c_14758]) ).
tcf(c_24191,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(slcrc0,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24128,c_8332]) ).
tcf(c_24214,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElement0(sK7(slcrc0,xS,X1))
| ( sdtmndt0(slcrc0,sK5(X0,xS)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21364,c_8416]) ).
tcf(c_24215,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(X1,xS)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21364,c_111]) ).
tcf(c_24216,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK5(X0,xS)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21364,c_109]) ).
tcf(c_24227,plain,
( aSubsetOf0(xS,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_21364,c_17037]) ).
tcf(c_24228,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21364,c_8624]) ).
tcf(c_24229,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21364,c_7953]) ).
tcf(c_24232,plain,
( aSubsetOf0(xS,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24227,c_88,c_51]) ).
tcf(c_24239,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24229,c_88,c_51]) ).
tcf(c_24252,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24228,c_88,c_51]) ).
tcf(c_24281,plain,
aSubsetOf0(xS,xS),
inference(global_subsumption_just,[status(thm)],[c_24232,c_88,c_11609,c_11610]) ).
tcf(c_24306,plain,
! [X0: $i] :
( aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_22518,c_5537,c_20619]) ).
tcf(c_24314,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_24306]) ).
tcf(c_24315,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElement0(sK6(X0,xS,X1))
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_24306]) ).
tcf(c_24316,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElement0(sK6(xS,X0,X1))
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_24306]) ).
tcf(c_24317,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElement0(sK7(X0,xS,X1))
| aElementOf0(sK7(X0,xS,X1),X0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_24306]) ).
tcf(c_24320,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_24306]) ).
tcf(c_24323,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| aElement0(sK7(iPr_def_10,xS,X0)) ),
inference(superposition,[status(thm)],[c_5827,c_24306]) ).
tcf(c_24326,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| aElement0(sK7(slcrc0,X0,X1))
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_24306]) ).
tcf(c_24333,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| aElement0(sK6(slcrc0,xS,X0))
| ( sK6(slcrc0,xS,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6224,c_24306]) ).
tcf(c_24363,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElement0(sK6(xS,X0,X1))
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24316,c_88]) ).
tcf(c_24458,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(iPr_def_10,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_24323,c_10994]) ).
tcf(c_24459,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,xS,X0)) = sK7(iPr_def_10,xS,X0) ) ),
inference(superposition,[status(thm)],[c_24323,c_14758]) ).
tcf(c_24460,plain,
! [X0: $i] :
( sP2(iPr_def_10,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_24323,c_8332]) ).
tcf(c_24507,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_24460,c_664]) ).
tcf(c_24508,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X1)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24460,c_81]) ).
tcf(c_24509,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_24460,c_83]) ).
tcf(c_24510,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X1)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_24460,c_82]) ).
tcf(c_24511,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X0)) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_24460,c_84]) ).
tcf(c_24521,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X0)) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24507,c_88]) ).
tcf(c_24537,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_24511]) ).
tcf(c_24538,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_24511]) ).
tcf(c_24539,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK6(X0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_24511]) ).
tcf(c_24540,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK6(iPr_def_10,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_24511]) ).
tcf(c_24541,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(X0,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_24511]) ).
tcf(c_24542,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_10,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_24511]) ).
tcf(c_24543,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_10,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,xx)) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_10332,c_24511]) ).
tcf(c_24544,plain,
sdtmndt0(slcrc0,sK7(iPr_def_10,xS,xx)) = slcrc0,
inference(superposition,[status(thm)],[c_5540,c_24511]) ).
tcf(c_24545,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_24511]) ).
tcf(c_24546,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(xS))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15309,c_24511]) ).
tcf(c_24547,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_24511]) ).
tcf(c_24548,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_24511]) ).
tcf(c_24549,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_24511]) ).
tcf(c_24552,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(xS,X0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_24511]) ).
tcf(c_24553,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_24511]) ).
tcf(c_24554,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_24511]) ).
tcf(c_24555,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10916,c_24511]) ).
tcf(c_24558,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6130,c_24511]) ).
tcf(c_24559,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_24511]) ).
tcf(c_24560,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_11,X0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_24511]) ).
tcf(c_24561,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6127,c_24511]) ).
tcf(c_24562,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK6(slcrc0,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_24511]) ).
tcf(c_24567,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20812,c_24511]) ).
tcf(c_24568,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6766,c_24511]) ).
tcf(c_24569,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(xS,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20809,c_24511]) ).
tcf(c_24570,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6841,c_24511]) ).
tcf(c_24573,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(iPr_def_10))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7103,c_24511]) ).
tcf(c_24574,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_11,xS,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20788,c_24511]) ).
tcf(c_24575,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_11,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_7827,c_24511]) ).
tcf(c_24577,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_24511]) ).
tcf(c_24578,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_24511]) ).
tcf(c_24580,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK6(slcrc0,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_14509,c_24511]) ).
tcf(c_24581,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_24511]) ).
tcf(c_24582,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_24511]) ).
tcf(c_24584,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(xS,iPr_def_10,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21532,c_24511]) ).
tcf(c_24585,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(xS,iPr_def_11,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21530,c_24511]) ).
tcf(c_24618,plain,
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(iPr_def_10))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24537,c_5539]) ).
tcf(c_24630,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_10,iPr_def_10,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24553,c_5539]) ).
tcf(c_24633,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_10,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24548,c_5539]) ).
tcf(c_24642,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24538,c_5539]) ).
tcf(c_24646,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24545,c_5539]) ).
tcf(c_24662,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(slcrc0,X0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24554,c_5539]) ).
tcf(c_24666,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK7(iPr_def_10,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24542,c_5539]) ).
tcf(c_24674,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,sK6(iPr_def_10,X0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24540,c_5539]) ).
tcf(c_24808,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElement0(sK7(slcrc0,xS,X1))
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_24239,c_8416]) ).
tcf(c_24809,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24239,c_111]) ).
tcf(c_24810,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24239,c_109]) ).
tcf(c_24813,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_24239,c_17148]) ).
tcf(c_24814,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_24239,c_17003]) ).
tcf(c_24826,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24814,c_6058]) ).
tcf(c_24829,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24813,c_6058]) ).
tcf(c_24867,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,xS))
| ~ aElementOf0(sK5(slcrc0,xS),slcrc0) ),
inference(superposition,[status(thm)],[c_24826,c_6019]) ).
tcf(c_24869,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,xS))
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,xS)) ),
inference(superposition,[status(thm)],[c_24826,c_652]) ).
tcf(c_24874,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElement0(sK7(xS,X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_21501,c_88,c_8364]) ).
tcf(c_24880,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_24874,c_10994]) ).
tcf(c_24881,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,X0,X1)) = sK7(xS,X0,X1) ) ),
inference(superposition,[status(thm)],[c_24874,c_14758]) ).
tcf(c_24882,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_24874,c_8332]) ).
tcf(c_24898,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))),slcrc0) ),
inference(superposition,[status(thm)],[c_12518,c_6019]) ).
tcf(c_24900,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_12518,c_652]) ).
tcf(c_24908,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElement0(sK7(slcrc0,xS,X2))
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23188,c_8416]) ).
tcf(c_24909,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X2)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23188,c_111]) ).
tcf(c_24910,plain,
! [X0: $i,X1: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23188,c_109]) ).
tcf(c_24913,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23188,c_17148]) ).
tcf(c_24914,plain,
! [X0: $i] :
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23188,c_17003]) ).
tcf(c_24922,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23188,c_8624]) ).
tcf(c_24923,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23188,c_7953]) ).
tcf(c_24926,plain,
! [X0: $i] :
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24914,c_6058]) ).
tcf(c_24929,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24913,c_6058]) ).
tcf(c_24958,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),xS)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_22322]) ).
tcf(c_24959,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22322]) ).
tcf(c_24960,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),xS)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22322]) ).
tcf(c_24961,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),xS)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_22322]) ).
tcf(c_24962,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),xS)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22322]) ).
tcf(c_24963,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),xS)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_22322]) ).
tcf(c_24964,plain,
! [X0: $i] :
( aElementOf0(xx,xS)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_22322]) ).
tcf(c_24965,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_22322]) ).
tcf(c_24966,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_22322]) ).
tcf(c_24967,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElementOf0(sK7(slcrc0,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22322]) ).
tcf(c_24968,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| aElementOf0(sK7(iPr_def_10,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_22322]) ).
tcf(c_24969,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| aElementOf0(sK7(xS,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_22322]) ).
tcf(c_24970,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_22322]) ).
tcf(c_24971,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_22322]) ).
tcf(c_24972,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_22322]) ).
tcf(c_24973,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_22322]) ).
tcf(c_24974,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| aElementOf0(sK6(slcrc0,iPr_def_11,X1),xS)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22322]) ).
tcf(c_24978,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),xS)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_22322]) ).
tcf(c_24979,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElementOf0(sK7(slcrc0,iPr_def_10,X1),xS)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_22322]) ).
tcf(c_24981,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_22322]) ).
tcf(c_24985,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| aElementOf0(sK7(iPr_def_10,slcrc0,X1),xS)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_22322]) ).
tcf(c_24986,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X1),xS)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_22322]) ).
tcf(c_24988,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),xS)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_22322]) ).
tcf(c_24990,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),xS)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_22322]) ).
tcf(c_24991,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),xS)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_22322]) ).
tcf(c_24992,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_22322]) ).
tcf(c_24993,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElementOf0(sK7(slcrc0,xS,X1),xS)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_22322]) ).
tcf(c_24994,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElementOf0(sK7(slcrc0,xS,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_22322]) ).
tcf(c_24995,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_22322]) ).
tcf(c_25003,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),xS)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24958,c_6058]) ).
tcf(c_25007,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24970,c_6058]) ).
tcf(c_25011,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24966,c_6058]) ).
tcf(c_25025,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24965,c_6058]) ).
tcf(c_25038,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24995,c_6058]) ).
tcf(c_25043,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElementOf0(sK7(slcrc0,xS,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24994,c_6058]) ).
tcf(c_25052,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24992,c_6058]) ).
tcf(c_25090,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24971,c_6058]) ).
tcf(c_25095,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),xS)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24963,c_6058]) ).
tcf(c_25105,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),xS)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24961,c_6058]) ).
tcf(c_25307,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_22571]) ).
tcf(c_25308,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),iPr_def_11)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_22571]) ).
tcf(c_25309,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),iPr_def_11)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_22571]) ).
tcf(c_25310,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),iPr_def_11)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_22571]) ).
tcf(c_25311,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),iPr_def_11)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_22571]) ).
tcf(c_25312,plain,
! [X0: $i] :
( aElementOf0(xx,iPr_def_11)
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_22571]) ).
tcf(c_25313,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),iPr_def_11)
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_22571]) ).
tcf(c_25314,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_22571]) ).
tcf(c_25315,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElementOf0(sK7(slcrc0,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_22571]) ).
tcf(c_25316,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| aElementOf0(sK7(iPr_def_10,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_22571]) ).
tcf(c_25317,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_11)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_22571]) ).
tcf(c_25318,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_22571]) ).
tcf(c_25319,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_22571]) ).
tcf(c_25321,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),iPr_def_11)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_22571]) ).
tcf(c_25322,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| aElementOf0(sK7(slcrc0,iPr_def_10,X1),iPr_def_11)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_22571]) ).
tcf(c_25323,plain,
! [X0: $i] :
( aElementOf0(sK4(xS),iPr_def_11)
| ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_22571]) ).
tcf(c_25324,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_11)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_22571]) ).
tcf(c_25325,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_22571]) ).
tcf(c_25326,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| aElementOf0(sK6(slcrc0,xS,X1),iPr_def_11)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_22571]) ).
tcf(c_25327,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_22571]) ).
tcf(c_25329,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElementOf0(sK7(slcrc0,iPr_def_11,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_22571]) ).
tcf(c_25330,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElementOf0(sK7(slcrc0,iPr_def_11,X1),iPr_def_11)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_22571]) ).
tcf(c_25331,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),iPr_def_11)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_22571]) ).
tcf(c_25334,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| aElementOf0(sK7(iPr_def_10,slcrc0,X1),iPr_def_11)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_22571]) ).
tcf(c_25335,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X1),iPr_def_11)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_22571]) ).
tcf(c_25336,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_22571]) ).
tcf(c_25337,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),iPr_def_11)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_22571]) ).
tcf(c_25338,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_22571]) ).
tcf(c_25339,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_11)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_22571]) ).
tcf(c_25340,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),iPr_def_11)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_22571]) ).
tcf(c_25341,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_22571]) ).
tcf(c_25343,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_22571]) ).
tcf(c_25350,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25318,c_88]) ).
tcf(c_25354,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25314,c_88]) ).
tcf(c_25359,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25307,c_88]) ).
tcf(c_25364,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25327,c_88]) ).
tcf(c_25377,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),iPr_def_11)
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25313,c_88]) ).
tcf(c_25390,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25343,c_88]) ).
tcf(c_25395,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25341,c_88]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25338,c_88]) ).
tcf(c_25417,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| aElementOf0(sK7(iPr_def_11,slcrc0,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25336,c_88]) ).
tcf(c_25439,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElementOf0(sK7(slcrc0,iPr_def_11,X1),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25329,c_88]) ).
tcf(c_25457,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElementOf0(sK7(slcrc0,X0,X2),iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25319,c_88]) ).
tcf(c_25462,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),iPr_def_11)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25311,c_88]) ).
tcf(c_25472,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),iPr_def_11)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25309,c_88]) ).
tcf(c_25646,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(X1,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_24882,c_664]) ).
tcf(c_25647,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,xS)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_24882,c_81]) ).
tcf(c_25648,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24882,c_83]) ).
tcf(c_25649,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24882,c_82]) ).
tcf(c_25650,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,X1,X0)) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_24882,c_84]) ).
tcf(c_25730,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_25650]) ).
tcf(c_25731,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK6(X0,xS,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_25650]) ).
tcf(c_25732,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK6(xS,X1,X2))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_25650]) ).
tcf(c_25733,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(X0,xS,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_25650]) ).
tcf(c_25734,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,X1,X2))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_25650]) ).
tcf(c_25735,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_25650]) ).
tcf(c_25736,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_25650]) ).
tcf(c_25737,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_25650]) ).
tcf(c_25738,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_25650]) ).
tcf(c_25739,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_10,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_25650]) ).
tcf(c_25740,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_25650]) ).
tcf(c_25741,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_25650]) ).
tcf(c_25742,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_25650]) ).
tcf(c_25747,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_25650]) ).
tcf(c_25748,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_25650]) ).
tcf(c_25749,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK6(slcrc0,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_25650]) ).
tcf(c_25750,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_25650]) ).
tcf(c_25752,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_25650]) ).
tcf(c_25759,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_25650]) ).
tcf(c_25761,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_25650]) ).
tcf(c_25764,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_25650]) ).
tcf(c_25766,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_25650]) ).
tcf(c_25769,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25741,c_88]) ).
tcf(c_25772,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25737,c_88]) ).
tcf(c_25776,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25730,c_88]) ).
tcf(c_25780,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25750,c_88]) ).
tcf(c_25790,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25736,c_88]) ).
tcf(c_25800,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25766,c_88]) ).
tcf(c_25804,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_10,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25764,c_88]) ).
tcf(c_25808,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25761,c_88]) ).
tcf(c_25812,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25759,c_88]) ).
tcf(c_25816,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25752,c_88]) ).
tcf(c_25823,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(slcrc0,X0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25742,c_88]) ).
tcf(c_25827,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,X1,X2))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25734,c_88]) ).
tcf(c_25835,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK6(xS,X1,X2))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25732,c_88]) ).
tcf(c_25932,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_24926,c_6018]) ).
tcf(c_25933,plain,
! [X0: $i] :
( ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0))
| ~ aElementOf0(sK7(xS,slcrc0,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_24926,c_6019]) ).
tcf(c_25935,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,slcrc0,X0))
| ( sK5(xS,iPr_def_11) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_24926,c_652]) ).
tcf(c_25944,plain,
( ( sdtmndt0(iPr_def_11,sK5(slcrc0,iPr_def_10)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11))
| ~ aElementOf0(sK5(slcrc0,iPr_def_11),slcrc0) ),
inference(superposition,[status(thm)],[c_20205,c_6019]) ).
tcf(c_25946,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( sdtmndt0(iPr_def_11,sK5(slcrc0,iPr_def_10)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_20205,c_652]) ).
tcf(c_25953,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_20976,c_664]) ).
tcf(c_25954,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20976,c_81]) ).
tcf(c_25955,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20976,c_83]) ).
tcf(c_25956,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X2))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20976,c_82]) ).
tcf(c_25957,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20976,c_84]) ).
tcf(c_25967,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25953,c_88]) ).
tcf(c_25998,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21075,c_664]) ).
tcf(c_26001,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21075,c_82]) ).
tcf(c_26002,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21075,c_84]) ).
tcf(c_26009,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25998,c_88]) ).
tcf(c_26019,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21202,c_664]) ).
tcf(c_26021,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21202,c_83]) ).
tcf(c_26030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26021,c_52]) ).
tcf(c_26033,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26019,c_51]) ).
tcf(c_26043,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22099,c_664]) ).
tcf(c_26044,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,xS)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22099,c_81]) ).
tcf(c_26045,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22099,c_83]) ).
tcf(c_26046,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22099,c_82]) ).
tcf(c_26047,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22099,c_84]) ).
tcf(c_26057,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26043,c_6058]) ).
tcf(c_26090,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_10,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22179,c_664]) ).
tcf(c_26091,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,xS)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_22179,c_81]) ).
tcf(c_26092,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22179,c_83]) ).
tcf(c_26093,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22179,c_82]) ).
tcf(c_26094,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22179,c_84]) ).
tcf(c_26104,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_10,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26090,c_5539]) ).
tcf(c_26166,plain,
! [X0: $i] :
( aElementOf0(xx,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5540,c_24509]) ).
tcf(c_26208,plain,
! [X0: $i] : sdtmndt0(slcrc0,sK7(iPr_def_10,xS,X0)) = slcrc0,
inference(forward_subsumption_resolution,[status(thm)],[c_26166,c_89]) ).
tcf(c_26233,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_25648]) ).
tcf(c_26234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,xS,X3)
| aElementOf0(sK6(X0,xS,X3),X1)
| aElementOf0(sK6(X0,xS,X3),X0)
| ( sK6(X0,xS,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_25648]) ).
tcf(c_26235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xS,X2,X3)
| aElementOf0(sK6(xS,X2,X3),X2)
| aElementOf0(sK6(xS,X2,X3),X0)
| ( sK6(xS,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_25648]) ).
tcf(c_26236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,xS,X3)
| aElementOf0(sK7(X0,xS,X3),X1)
| aElementOf0(sK7(X0,xS,X3),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_25648]) ).
tcf(c_26237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(xS,X2,X3)
| aElementOf0(sK7(xS,X2,X3),X2)
| aElementOf0(sK7(xS,X2,X3),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_25648]) ).
tcf(c_26238,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_25648]) ).
tcf(c_26239,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_25648]) ).
tcf(c_26240,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElementOf0(sK7(xS,slcrc0,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_25648]) ).
tcf(c_26241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElementOf0(sK7(slcrc0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_25648]) ).
tcf(c_26242,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,xS,X2)
| aElement0(sK7(iPr_def_10,xS,X2))
| aElementOf0(sK7(iPr_def_10,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_25648]) ).
tcf(c_26243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),iPr_def_10)
| aElementOf0(sK7(xS,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_25648]) ).
tcf(c_26244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_25648]) ).
tcf(c_26245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| aElementOf0(sK7(slcrc0,X0,X3),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_25648]) ).
tcf(c_26246,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_25648]) ).
tcf(c_26247,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElementOf0(sK5(X0,iPr_def_10),X1)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_25648]) ).
tcf(c_26248,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_10,X2)
| aElementOf0(sK7(slcrc0,iPr_def_10,X2),X0)
| ( sK7(slcrc0,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_25648]) ).
tcf(c_26249,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_25648]) ).
tcf(c_26250,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),iPr_def_10)
| aElementOf0(sK7(iPr_def_11,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_25648]) ).
tcf(c_26251,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElement0(sK7(iPr_def_11,xS,X2))
| aElementOf0(sK7(iPr_def_11,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_25648]) ).
tcf(c_26252,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,xS,X2)
| aElementOf0(sK6(slcrc0,xS,X2),X0)
| ( sK6(slcrc0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_25648]) ).
tcf(c_26253,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_25648]) ).
tcf(c_26254,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_25648]) ).
tcf(c_26255,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElementOf0(sK7(slcrc0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_25648]) ).
tcf(c_26256,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElementOf0(sK7(slcrc0,iPr_def_11,X2),X0)
| ( sK7(slcrc0,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_25648]) ).
tcf(c_26257,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_11,X0)
| aElementOf0(sK5(X0,iPr_def_11),X1)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_25648]) ).
tcf(c_26260,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,slcrc0,X2)
| aElementOf0(sK7(iPr_def_10,slcrc0,X2),X0)
| ( sK7(iPr_def_10,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_25648]) ).
tcf(c_26261,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,iPr_def_10,X2)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X2),X0)
| ( sK7(iPr_def_10,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_25648]) ).
tcf(c_26262,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElementOf0(sK7(iPr_def_11,slcrc0,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_25648]) ).
tcf(c_26263,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElementOf0(sK7(iPr_def_11,slcrc0,X2),X0)
| ( sK7(iPr_def_11,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_25648]) ).
tcf(c_26264,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_25648]) ).
tcf(c_26265,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X2),X0)
| ( sK7(iPr_def_11,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_25648]) ).
tcf(c_26266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X2),X0)
| ( sK7(iPr_def_11,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_25648]) ).
tcf(c_26267,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_25648]) ).
tcf(c_26269,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_25648]) ).
tcf(c_26284,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26244,c_88]) ).
tcf(c_26288,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElementOf0(sK7(xS,slcrc0,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26240,c_88]) ).
tcf(c_26293,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26233,c_88]) ).
tcf(c_26298,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26253,c_88]) ).
tcf(c_26311,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26239,c_88]) ).
tcf(c_26324,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26269,c_88]) ).
tcf(c_26329,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_10,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26267,c_88]) ).
tcf(c_26342,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26264,c_88]) ).
tcf(c_26351,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| aElementOf0(sK7(iPr_def_11,slcrc0,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26262,c_88]) ).
tcf(c_26373,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElementOf0(sK7(slcrc0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26255,c_88]) ).
tcf(c_26391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| aElementOf0(sK7(slcrc0,X0,X3),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26245,c_88]) ).
tcf(c_26396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(xS,X2,X3)
| aElementOf0(sK7(xS,X2,X3),X2)
| aElementOf0(sK7(xS,X2,X3),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26237,c_88]) ).
tcf(c_26406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xS,X2,X3)
| aElementOf0(sK6(xS,X2,X3),X2)
| aElementOf0(sK6(xS,X2,X3),X0)
| ( sK6(xS,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26235,c_88]) ).
tcf(c_26572,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_25957]) ).
tcf(c_26573,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_25957]) ).
tcf(c_26574,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK6(X0,iPr_def_11,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_25957]) ).
tcf(c_26575,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK6(iPr_def_11,X1,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_25957]) ).
tcf(c_26576,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK7(X0,iPr_def_11,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_25957]) ).
tcf(c_26577,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,X1,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_25957]) ).
tcf(c_26578,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_25957]) ).
tcf(c_26579,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_25957]) ).
tcf(c_26580,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_25957]) ).
tcf(c_26581,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_25957]) ).
tcf(c_26582,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_10,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_25957]) ).
tcf(c_26583,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_25957]) ).
tcf(c_26584,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_25957]) ).
tcf(c_26585,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_25957]) ).
tcf(c_26586,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_25957]) ).
tcf(c_26587,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_25957]) ).
tcf(c_26588,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK6(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_25957]) ).
tcf(c_26591,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_25957]) ).
tcf(c_26592,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_25957]) ).
tcf(c_26593,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_25957]) ).
tcf(c_26594,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_25957]) ).
tcf(c_26595,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_25957]) ).
tcf(c_26596,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_25957]) ).
tcf(c_26597,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_25957]) ).
tcf(c_26598,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_25957]) ).
tcf(c_26599,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_25957]) ).
tcf(c_26600,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_25957]) ).
tcf(c_26602,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_25957]) ).
tcf(c_26604,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_25957]) ).
tcf(c_26605,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_25957]) ).
tcf(c_26606,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_25957]) ).
tcf(c_26607,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_25957]) ).
tcf(c_26608,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_25957]) ).
tcf(c_26609,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_25957]) ).
tcf(c_26615,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26572,c_6058]) ).
tcf(c_26627,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26584,c_6058]) ).
tcf(c_26630,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26580,c_6058]) ).
tcf(c_26635,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26597,c_6058]) ).
tcf(c_26639,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26596,c_6058]) ).
tcf(c_26649,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26579,c_6058]) ).
tcf(c_26659,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26609,c_6058]) ).
tcf(c_26663,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26608,c_6058]) ).
tcf(c_26670,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26606,c_6058]) ).
tcf(c_26699,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26585,c_6058]) ).
tcf(c_26703,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26577,c_6058]) ).
tcf(c_26711,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK6(iPr_def_11,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26575,c_6058]) ).
tcf(c_26943,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,xS,X0)) ),
inference(superposition,[status(thm)],[c_26208,c_6018]) ).
tcf(c_26944,plain,
! [X0: $i] :
( ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,xS,X0))
| ~ aElementOf0(sK7(iPr_def_10,xS,X0),slcrc0) ),
inference(superposition,[status(thm)],[c_26208,c_6019]) ).
tcf(c_26946,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,xS,X0))
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,xS,X0)) ),
inference(superposition,[status(thm)],[c_26208,c_652]) ).
tcf(c_26951,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22658,c_664]) ).
tcf(c_26952,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22658,c_81]) ).
tcf(c_26957,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26951,c_6058]) ).
tcf(c_26961,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26952,c_52]) ).
tcf(c_26986,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22704,c_664]) ).
tcf(c_26989,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22704,c_82]) ).
tcf(c_26990,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22704,c_84]) ).
tcf(c_26997,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26986,c_6058]) ).
tcf(c_27020,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22707,c_664]) ).
tcf(c_27022,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22707,c_83]) ).
tcf(c_27031,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27022,c_52]) ).
tcf(c_27034,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27020,c_51]) ).
tcf(c_27046,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22865,c_664]) ).
tcf(c_27047,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22865,c_81]) ).
tcf(c_27052,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27046,c_88]) ).
tcf(c_27056,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27047,c_52]) ).
tcf(c_27125,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22904,c_664]) ).
tcf(c_27128,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22904,c_82]) ).
tcf(c_27129,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22904,c_84]) ).
tcf(c_27136,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27125,c_88]) ).
tcf(c_27146,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22907,c_664]) ).
tcf(c_27148,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22907,c_83]) ).
tcf(c_27157,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27148,c_52]) ).
tcf(c_27160,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27146,c_51]) ).
tcf(c_27170,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23578,c_664]) ).
tcf(c_27171,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23578,c_81]) ).
tcf(c_27176,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27170,c_88]) ).
tcf(c_27180,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27171,c_52]) ).
tcf(c_27190,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23617,c_664]) ).
tcf(c_27193,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23617,c_82]) ).
tcf(c_27194,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23617,c_84]) ).
tcf(c_27201,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27190,c_88]) ).
tcf(c_27211,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23620,c_664]) ).
tcf(c_27213,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23620,c_83]) ).
tcf(c_27222,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27213,c_52]) ).
tcf(c_27225,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27211,c_51]) ).
tcf(c_27235,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23819,c_664]) ).
tcf(c_27236,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23819,c_81]) ).
tcf(c_27241,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27235,c_88]) ).
tcf(c_27245,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(slcrc0,xS,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27236,c_52]) ).
tcf(c_27255,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23858,c_664]) ).
tcf(c_27258,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23858,c_82]) ).
tcf(c_27259,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23858,c_84]) ).
tcf(c_27266,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27255,c_88]) ).
tcf(c_27279,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_26002]) ).
tcf(c_27280,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK6(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_26002]) ).
tcf(c_27281,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK6(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_26002]) ).
tcf(c_27282,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK7(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_26002]) ).
tcf(c_27283,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_26002]) ).
tcf(c_27284,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_26002]) ).
tcf(c_27285,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_26002]) ).
tcf(c_27286,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_26002]) ).
tcf(c_27287,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_26002]) ).
tcf(c_27288,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_10,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_26002]) ).
tcf(c_27289,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_26002]) ).
tcf(c_27290,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_26002]) ).
tcf(c_27291,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_26002]) ).
tcf(c_27292,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_26002]) ).
tcf(c_27293,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_26002]) ).
tcf(c_27294,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_26002]) ).
tcf(c_27295,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_26002]) ).
tcf(c_27296,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_26002]) ).
tcf(c_27297,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_26002]) ).
tcf(c_27298,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK6(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_26002]) ).
tcf(c_27299,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_26002]) ).
tcf(c_27300,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_26002]) ).
tcf(c_27301,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_26002]) ).
tcf(c_27302,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_26002]) ).
tcf(c_27303,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_26002]) ).
tcf(c_27306,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_26002]) ).
tcf(c_27307,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_26002]) ).
tcf(c_27308,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_26002]) ).
tcf(c_27309,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_26002]) ).
tcf(c_27310,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_26002]) ).
tcf(c_27311,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_26002]) ).
tcf(c_27312,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_26002]) ).
tcf(c_27313,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_26002]) ).
tcf(c_27315,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_26002]) ).
tcf(c_27326,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27290,c_88]) ).
tcf(c_27329,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27286,c_88]) ).
tcf(c_27333,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27279,c_88]) ).
tcf(c_27337,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27299,c_88]) ).
tcf(c_27347,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27285,c_88]) ).
tcf(c_27357,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27315,c_88]) ).
tcf(c_27361,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27313,c_88]) ).
tcf(c_27371,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27310,c_88]) ).
tcf(c_27378,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27308,c_88]) ).
tcf(c_27395,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27301,c_88]) ).
tcf(c_27409,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27291,c_88]) ).
tcf(c_27413,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27283,c_88]) ).
tcf(c_27421,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK6(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27281,c_88]) ).
tcf(c_27716,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_26030]) ).
tcf(c_27717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,xS,X3)
| aElementOf0(sK6(X0,xS,X3),X0)
| ( sK6(X0,xS,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_26030]) ).
tcf(c_27718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xS,X2,X3)
| aElementOf0(sK6(xS,X2,X3),X2)
| ( sK6(xS,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_26030]) ).
tcf(c_27719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,xS,X3)
| aElementOf0(sK7(X0,xS,X3),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_26030]) ).
tcf(c_27720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(xS,X2,X3)
| aElementOf0(sK7(xS,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_26030]) ).
tcf(c_27721,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_26030]) ).
tcf(c_27722,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_26030]) ).
tcf(c_27723,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_26030]) ).
tcf(c_27724,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_26030]) ).
tcf(c_27725,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,xS,X2)
| aElement0(sK7(iPr_def_10,xS,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_26030]) ).
tcf(c_27726,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_26030]) ).
tcf(c_27727,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_26030]) ).
tcf(c_27728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_26030]) ).
tcf(c_27729,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_26030]) ).
tcf(c_27730,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_26030]) ).
tcf(c_27731,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_10,X2)
| ( sK7(slcrc0,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_26030]) ).
tcf(c_27732,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_26030]) ).
tcf(c_27733,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_26030]) ).
tcf(c_27734,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElement0(sK7(iPr_def_11,xS,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_26030]) ).
tcf(c_27735,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,xS,X2)
| ( sK6(slcrc0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_26030]) ).
tcf(c_27736,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_26030]) ).
tcf(c_27737,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_26030]) ).
tcf(c_27738,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_26030]) ).
tcf(c_27739,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sK7(slcrc0,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_26030]) ).
tcf(c_27740,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_26030]) ).
tcf(c_27743,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,slcrc0,X2)
| ( sK7(iPr_def_10,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_26030]) ).
tcf(c_27744,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,iPr_def_10,X2)
| ( sK7(iPr_def_10,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_26030]) ).
tcf(c_27745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_26030]) ).
tcf(c_27746,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sK7(iPr_def_11,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_26030]) ).
tcf(c_27747,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_26030]) ).
tcf(c_27748,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sK7(iPr_def_11,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_26030]) ).
tcf(c_27749,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sK7(iPr_def_11,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_26030]) ).
tcf(c_27750,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_26030]) ).
tcf(c_27752,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_26030]) ).
tcf(c_27757,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27727,c_88]) ).
tcf(c_27760,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27723,c_88]) ).
tcf(c_27775,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27716,c_88]) ).
tcf(c_27785,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27752,c_88]) ).
tcf(c_27789,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27750,c_88]) ).
tcf(c_27799,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27747,c_88]) ).
tcf(c_27806,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27745,c_88]) ).
tcf(c_27819,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27738,c_88]) ).
tcf(c_27823,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27736,c_88]) ).
tcf(c_27833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27728,c_88]) ).
tcf(c_27837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27722,c_88]) ).
tcf(c_27850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(xS,X2,X3)
| aElementOf0(sK7(xS,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27720,c_88]) ).
tcf(c_27858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xS,X2,X3)
| aElementOf0(sK6(xS,X2,X3),X2)
| ( sK6(xS,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27718,c_88]) ).
tcf(c_28010,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_26047]) ).
tcf(c_28011,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK6(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_26047]) ).
tcf(c_28012,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK6(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_26047]) ).
tcf(c_28013,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK7(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_26047]) ).
tcf(c_28014,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_26047]) ).
tcf(c_28015,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_26047]) ).
tcf(c_28016,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_26047]) ).
tcf(c_28017,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_26047]) ).
tcf(c_28018,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_26047]) ).
tcf(c_28019,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_10,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_26047]) ).
tcf(c_28020,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_26047]) ).
tcf(c_28021,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_26047]) ).
tcf(c_28022,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_26047]) ).
tcf(c_28023,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_26047]) ).
tcf(c_28024,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_26047]) ).
tcf(c_28025,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_26047]) ).
tcf(c_28026,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_26047]) ).
tcf(c_28027,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_26047]) ).
tcf(c_28028,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_26047]) ).
tcf(c_28029,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK6(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_26047]) ).
tcf(c_28030,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_26047]) ).
tcf(c_28031,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_26047]) ).
tcf(c_28032,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_26047]) ).
tcf(c_28033,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_26047]) ).
tcf(c_28034,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_26047]) ).
tcf(c_28037,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_26047]) ).
tcf(c_28038,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_26047]) ).
tcf(c_28039,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_26047]) ).
tcf(c_28040,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_26047]) ).
tcf(c_28041,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_26047]) ).
tcf(c_28042,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_26047]) ).
tcf(c_28043,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_26047]) ).
tcf(c_28044,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_26047]) ).
tcf(c_28046,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_26047]) ).
tcf(c_28057,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28021,c_88]) ).
tcf(c_28060,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28017,c_88]) ).
tcf(c_28064,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28010,c_88]) ).
tcf(c_28068,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28030,c_88]) ).
tcf(c_28078,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28016,c_88]) ).
tcf(c_28088,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28046,c_88]) ).
tcf(c_28092,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28044,c_88]) ).
tcf(c_28102,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28041,c_88]) ).
tcf(c_28109,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28039,c_88]) ).
tcf(c_28126,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28032,c_88]) ).
tcf(c_28140,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28022,c_88]) ).
tcf(c_28144,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28014,c_88]) ).
tcf(c_28152,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK6(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28012,c_88]) ).
tcf(c_28264,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_26094]) ).
tcf(c_28265,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK6(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_26094]) ).
tcf(c_28266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK6(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_26094]) ).
tcf(c_28267,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK7(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_26094]) ).
tcf(c_28268,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_26094]) ).
tcf(c_28269,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_26094]) ).
tcf(c_28270,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_26094]) ).
tcf(c_28271,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_26094]) ).
tcf(c_28272,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_26094]) ).
tcf(c_28273,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_10,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_26094]) ).
tcf(c_28274,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_26094]) ).
tcf(c_28275,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_26094]) ).
tcf(c_28276,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_26094]) ).
tcf(c_28277,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_26094]) ).
tcf(c_28278,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_26094]) ).
tcf(c_28279,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_26094]) ).
tcf(c_28280,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_26094]) ).
tcf(c_28281,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_26094]) ).
tcf(c_28282,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_26094]) ).
tcf(c_28283,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK6(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_26094]) ).
tcf(c_28284,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_26094]) ).
tcf(c_28285,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_26094]) ).
tcf(c_28286,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_26094]) ).
tcf(c_28287,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_26094]) ).
tcf(c_28288,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_26094]) ).
tcf(c_28291,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_26094]) ).
tcf(c_28292,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_26094]) ).
tcf(c_28293,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_26094]) ).
tcf(c_28294,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_26094]) ).
tcf(c_28295,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_26094]) ).
tcf(c_28296,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_26094]) ).
tcf(c_28297,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_26094]) ).
tcf(c_28298,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_26094]) ).
tcf(c_28300,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_26094]) ).
tcf(c_28311,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28275,c_88]) ).
tcf(c_28314,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28271,c_88]) ).
tcf(c_28318,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28264,c_88]) ).
tcf(c_28322,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28284,c_88]) ).
tcf(c_28332,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28270,c_88]) ).
tcf(c_28342,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28300,c_88]) ).
tcf(c_28346,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28298,c_88]) ).
tcf(c_28356,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28295,c_88]) ).
tcf(c_28363,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28293,c_88]) ).
tcf(c_28380,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28286,c_88]) ).
tcf(c_28394,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28276,c_88]) ).
tcf(c_28398,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28268,c_88]) ).
tcf(c_28406,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK6(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28266,c_88]) ).
tcf(c_28614,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23861,c_664]) ).
tcf(c_28616,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23861,c_83]) ).
tcf(c_28625,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28616,c_52]) ).
tcf(c_28628,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28614,c_51]) ).
tcf(c_28640,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(iPr_def_11,sK6(slcrc0,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_24333,c_10994]) ).
tcf(c_28641,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK6(slcrc0,xS,X0)) = sK6(slcrc0,xS,X0) ) ),
inference(superposition,[status(thm)],[c_24333,c_14758]) ).
tcf(c_28642,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK6(slcrc0,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_24333,c_8332]) ).
tcf(c_28664,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))),slcrc0) ),
inference(superposition,[status(thm)],[c_13075,c_6019]) ).
tcf(c_28666,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_13075,c_652]) ).
tcf(c_28671,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_26990]) ).
tcf(c_28672,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_26990]) ).
tcf(c_28673,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_26990]) ).
tcf(c_28674,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_26990]) ).
tcf(c_28675,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_26990]) ).
tcf(c_28676,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_26990]) ).
tcf(c_28677,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_26990]) ).
tcf(c_28678,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_26990]) ).
tcf(c_28679,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_26990]) ).
tcf(c_28680,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_26990]) ).
tcf(c_28683,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_26990]) ).
tcf(c_28684,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_26990]) ).
tcf(c_28687,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_26990]) ).
tcf(c_28690,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_26990]) ).
tcf(c_28691,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_26990]) ).
tcf(c_28692,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_26990]) ).
tcf(c_28693,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_26990]) ).
tcf(c_28694,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_26990]) ).
tcf(c_28695,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_26990]) ).
tcf(c_28696,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_26990]) ).
tcf(c_28697,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_26990]) ).
tcf(c_28698,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_26990]) ).
tcf(c_28699,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_26990]) ).
tcf(c_28701,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_26990]) ).
tcf(c_28703,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_26990]) ).
tcf(c_28704,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_26990]) ).
tcf(c_28705,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_26990]) ).
tcf(c_28706,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_26990]) ).
tcf(c_28707,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_26990]) ).
tcf(c_28708,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_26990]) ).
tcf(c_28714,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28671,c_6058]) ).
tcf(c_28726,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28683,c_6058]) ).
tcf(c_28729,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28679,c_6058]) ).
tcf(c_28734,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28696,c_6058]) ).
tcf(c_28738,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(xS)))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28695,c_6058]) ).
tcf(c_28742,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28678,c_6058]) ).
tcf(c_28746,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28708,c_6058]) ).
tcf(c_28750,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28707,c_6058]) ).
tcf(c_28757,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28705,c_6058]) ).
tcf(c_28786,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28684,c_6058]) ).
tcf(c_28790,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28676,c_6058]) ).
tcf(c_28798,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28674,c_6058]) ).
tcf(c_29136,plain,
( aElementOf0(xx,iPr_def_10)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_29115,c_70]) ).
tcf(c_29138,plain,
aElementOf0(xx,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_29136,c_87]) ).
tcf(c_29235,plain,
( ( sdtpldt0(sdtmndt0(iPr_def_10,xx),xx) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_29138,c_86]) ).
tcf(c_29238,plain,
( ( sdtpldt0(iPr_def_11,xx) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_29235,c_4834]) ).
tcf(c_29239,plain,
sdtpldt0(iPr_def_11,xx) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_29238,c_6882]) ).
tcf(c_29541,plain,
( sP0(iPr_def_10,iPr_def_11,xx)
| ~ aSet0(iPr_def_11)
| ~ aElement0(xx) ),
inference(superposition,[status(thm)],[c_29239,c_618]) ).
tcf(c_29542,plain,
( sP0(iPr_def_10,iPr_def_11,xx)
| ~ aSet0(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29541,c_87]) ).
tcf(c_29605,plain,
sP0(iPr_def_10,iPr_def_11,xx),
inference(global_subsumption_just,[status(thm)],[c_29542,c_5655,c_6058]) ).
tcf(c_29607,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = xx )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_29605,c_72]) ).
tcf(c_29608,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_29605,c_69]) ).
tcf(c_29777,plain,
! [X0: $i] :
( aElementOf0(X0,iPr_def_10)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_29608,c_6055]) ).
tcf(c_29783,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_10)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_29777]) ).
tcf(c_29838,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_10)
| ( slcrc0 = iPr_def_11 ) ),
inference(global_subsumption_just,[status(thm)],[c_29783,c_6130]) ).
tcf(c_30479,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx ) ),
inference(superposition,[status(thm)],[c_29838,c_29607]) ).
tcf(c_32018,plain,
( aElementOf0(sK4(iPr_def_11),iPr_def_11)
| ( slcrc0 = iPr_def_11 ) ),
inference(global_subsumption_just,[status(thm)],[c_30479,c_51,c_92,c_103,c_6058,c_6801,c_18279]) ).
tcf(c_32025,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_32018,c_57]) ).
tcf(c_32036,plain,
( aElementOf0(sK4(iPr_def_11),slcrc0)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aSubsetOf0(iPr_def_11,slcrc0) ),
inference(instantiation,[status(thm)],[c_32025]) ).
tcf(c_32527,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_27031]) ).
tcf(c_32528,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_27031]) ).
tcf(c_32529,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_27031]) ).
tcf(c_32530,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_27031]) ).
tcf(c_32531,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_27031]) ).
tcf(c_32532,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_27031]) ).
tcf(c_32533,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_27031]) ).
tcf(c_32534,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_27031]) ).
tcf(c_32535,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_27031]) ).
tcf(c_32536,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_27031]) ).
tcf(c_32537,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_27031]) ).
tcf(c_32538,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_27031]) ).
tcf(c_32539,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_27031]) ).
tcf(c_32540,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_27031]) ).
tcf(c_32541,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_27031]) ).
tcf(c_32542,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_27031]) ).
tcf(c_32543,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_27031]) ).
tcf(c_32546,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6459,c_27031]) ).
tcf(c_32547,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_27031]) ).
tcf(c_32548,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6453,c_27031]) ).
tcf(c_32549,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6454,c_27031]) ).
tcf(c_32550,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_27031]) ).
tcf(c_32551,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_27031]) ).
tcf(c_32552,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_27031]) ).
tcf(c_32553,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15326,c_27031]) ).
tcf(c_32554,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6777,c_27031]) ).
tcf(c_32555,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6852,c_27031]) ).
tcf(c_32557,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6911,c_27031]) ).
tcf(c_32559,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6969,c_27031]) ).
tcf(c_32560,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8046,c_27031]) ).
tcf(c_32561,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_27031]) ).
tcf(c_32562,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_10938,c_27031]) ).
tcf(c_32563,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_27031]) ).
tcf(c_32564,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_27031]) ).
tcf(c_32570,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32539,c_6058]) ).
tcf(c_32573,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32535,c_6058]) ).
tcf(c_32576,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32527,c_6058]) ).
tcf(c_32601,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32564,c_6058]) ).
tcf(c_32605,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32563,c_6058]) ).
tcf(c_32612,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32561,c_6058]) ).
tcf(c_32631,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32552,c_6058]) ).
tcf(c_32635,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32551,c_6058]) ).
tcf(c_32645,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32540,c_6058]) ).
tcf(c_32649,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32534,c_6058]) ).
tcf(c_32658,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32532,c_6058]) ).
tcf(c_32666,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32530,c_6058]) ).
tcf(c_32949,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_27129]) ).
tcf(c_32950,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK6(X0,xS,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_27129]) ).
tcf(c_32951,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK6(xS,X0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_27129]) ).
tcf(c_32952,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(X0,xS,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_27129]) ).
tcf(c_32953,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(xS,X0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_27129]) ).
tcf(c_32954,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_27129]) ).
tcf(c_32955,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_27129]) ).
tcf(c_32956,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_27129]) ).
tcf(c_32957,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_27129]) ).
tcf(c_32960,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_27129]) ).
tcf(c_32961,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_27129]) ).
tcf(c_32962,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_27129]) ).
tcf(c_32963,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_27129]) ).
tcf(c_32964,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_27129]) ).
tcf(c_32965,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_27129]) ).
tcf(c_32968,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK6(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_27129]) ).
tcf(c_32969,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_27129]) ).
tcf(c_32970,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_27129]) ).
tcf(c_32971,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_27129]) ).
tcf(c_32972,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_27129]) ).
tcf(c_32973,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_27129]) ).
tcf(c_32976,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_27129]) ).
tcf(c_32977,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_27129]) ).
tcf(c_32978,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_27129]) ).
tcf(c_32979,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_27129]) ).
tcf(c_32980,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_27129]) ).
tcf(c_32981,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_27129]) ).
tcf(c_32982,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_27129]) ).
tcf(c_32983,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_27129]) ).
tcf(c_32985,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_27129]) ).
tcf(c_32996,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32960,c_88]) ).
tcf(c_32999,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32956,c_88]) ).
tcf(c_33003,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32949,c_88]) ).
tcf(c_33007,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32969,c_88]) ).
tcf(c_33011,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32955,c_88]) ).
tcf(c_33015,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32985,c_88]) ).
tcf(c_33019,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32983,c_88]) ).
tcf(c_33029,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32980,c_88]) ).
tcf(c_33036,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32978,c_88]) ).
tcf(c_33053,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32971,c_88]) ).
tcf(c_33067,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32961,c_88]) ).
tcf(c_33071,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK7(xS,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32953,c_88]) ).
tcf(c_33079,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,xS,sK6(xS,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32951,c_88]) ).
tcf(c_33341,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_27157]) ).
tcf(c_33342,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_27157]) ).
tcf(c_33343,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_27157]) ).
tcf(c_33344,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_27157]) ).
tcf(c_33345,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_27157]) ).
tcf(c_33346,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_27157]) ).
tcf(c_33347,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_27157]) ).
tcf(c_33348,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_27157]) ).
tcf(c_33349,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_27157]) ).
tcf(c_33350,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_27157]) ).
tcf(c_33351,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_27157]) ).
tcf(c_33352,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_27157]) ).
tcf(c_33353,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_27157]) ).
tcf(c_33354,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_27157]) ).
tcf(c_33355,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_27157]) ).
tcf(c_33356,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_27157]) ).
tcf(c_33357,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_27157]) ).
tcf(c_33358,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_27157]) ).
tcf(c_33359,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_27157]) ).
tcf(c_33360,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_27157]) ).
tcf(c_33361,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_27157]) ).
tcf(c_33362,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_27157]) ).
tcf(c_33363,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_27157]) ).
tcf(c_33364,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_27157]) ).
tcf(c_33365,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_27157]) ).
tcf(c_33368,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_27157]) ).
tcf(c_33369,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_27157]) ).
tcf(c_33370,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_27157]) ).
tcf(c_33371,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_27157]) ).
tcf(c_33372,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_27157]) ).
tcf(c_33373,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_27157]) ).
tcf(c_33374,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_27157]) ).
tcf(c_33375,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_27157]) ).
tcf(c_33377,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_27157]) ).
tcf(c_33382,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33352,c_88]) ).
tcf(c_33385,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33348,c_88]) ).
tcf(c_33400,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33341,c_88]) ).
tcf(c_33410,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33377,c_88]) ).
tcf(c_33414,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33375,c_88]) ).
tcf(c_33424,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33372,c_88]) ).
tcf(c_33431,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33370,c_88]) ).
tcf(c_33444,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33363,c_88]) ).
tcf(c_33448,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33361,c_88]) ).
tcf(c_33458,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33353,c_88]) ).
tcf(c_33462,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33347,c_88]) ).
tcf(c_33475,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33345,c_88]) ).
tcf(c_33483,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33343,c_88]) ).
tcf(c_33622,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,xS))
| ~ aElementOf0(sK5(slcrc0,xS),slcrc0) ),
inference(superposition,[status(thm)],[c_24829,c_6019]) ).
tcf(c_33624,plain,
( sP2(slcrc0,slcrc0,sK5(slcrc0,xS))
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK5(slcrc0,xS)) ),
inference(superposition,[status(thm)],[c_24829,c_652]) ).
tcf(c_33629,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_25738,c_664]) ).
tcf(c_33630,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(slcrc0,xS,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_25738,c_81]) ).
tcf(c_33635,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(slcrc0,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33629,c_88]) ).
tcf(c_33639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(slcrc0,xS,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33630,c_52]) ).
tcf(c_33649,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_25769,c_664]) ).
tcf(c_33652,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_25769,c_82]) ).
tcf(c_33653,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_25769,c_84]) ).
tcf(c_33660,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33649,c_88]) ).
tcf(c_33670,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_25772,c_664]) ).
tcf(c_33672,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_25772,c_83]) ).
tcf(c_33681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33672,c_52]) ).
tcf(c_33684,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33670,c_51]) ).
tcf(c_33695,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_27194]) ).
tcf(c_33696,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK6(X0,xS,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_27194]) ).
tcf(c_33697,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK6(xS,X0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_27194]) ).
tcf(c_33698,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(X0,xS,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_27194]) ).
tcf(c_33699,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(xS,X0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_27194]) ).
tcf(c_33700,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_27194]) ).
tcf(c_33701,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_27194]) ).
tcf(c_33702,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_27194]) ).
tcf(c_33703,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_27194]) ).
tcf(c_33706,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_27194]) ).
tcf(c_33707,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_27194]) ).
tcf(c_33708,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_27194]) ).
tcf(c_33709,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_27194]) ).
tcf(c_33710,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_27194]) ).
tcf(c_33711,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_27194]) ).
tcf(c_33714,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK6(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_27194]) ).
tcf(c_33715,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_27194]) ).
tcf(c_33716,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_27194]) ).
tcf(c_33717,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_27194]) ).
tcf(c_33718,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_27194]) ).
tcf(c_33719,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_27194]) ).
tcf(c_33722,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_27194]) ).
tcf(c_33723,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_27194]) ).
tcf(c_33724,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_27194]) ).
tcf(c_33725,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_27194]) ).
tcf(c_33726,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_27194]) ).
tcf(c_33727,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_27194]) ).
tcf(c_33728,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_27194]) ).
tcf(c_33729,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_27194]) ).
tcf(c_33731,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_27194]) ).
tcf(c_33742,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33706,c_88]) ).
tcf(c_33745,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33702,c_88]) ).
tcf(c_33749,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33695,c_88]) ).
tcf(c_33753,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33715,c_88]) ).
tcf(c_33757,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33701,c_88]) ).
tcf(c_33761,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33731,c_88]) ).
tcf(c_33765,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33729,c_88]) ).
tcf(c_33775,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33726,c_88]) ).
tcf(c_33782,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33724,c_88]) ).
tcf(c_33799,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33717,c_88]) ).
tcf(c_33813,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33707,c_88]) ).
tcf(c_33817,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK7(xS,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33699,c_88]) ).
tcf(c_33825,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,xS,sK6(xS,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33697,c_88]) ).
tcf(c_33962,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_27222]) ).
tcf(c_33963,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_27222]) ).
tcf(c_33964,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_27222]) ).
tcf(c_33965,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_27222]) ).
tcf(c_33966,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_27222]) ).
tcf(c_33967,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_27222]) ).
tcf(c_33968,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_27222]) ).
tcf(c_33969,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_27222]) ).
tcf(c_33970,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_27222]) ).
tcf(c_33971,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_27222]) ).
tcf(c_33972,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_27222]) ).
tcf(c_33973,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_27222]) ).
tcf(c_33974,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_27222]) ).
tcf(c_33975,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_27222]) ).
tcf(c_33976,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_27222]) ).
tcf(c_33977,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_27222]) ).
tcf(c_33978,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_27222]) ).
tcf(c_33979,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_27222]) ).
tcf(c_33980,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_27222]) ).
tcf(c_33981,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_27222]) ).
tcf(c_33982,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_27222]) ).
tcf(c_33983,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_27222]) ).
tcf(c_33984,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_27222]) ).
tcf(c_33985,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_27222]) ).
tcf(c_33986,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_27222]) ).
tcf(c_33989,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_27222]) ).
tcf(c_33990,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_27222]) ).
tcf(c_33991,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_27222]) ).
tcf(c_33992,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_27222]) ).
tcf(c_33993,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_27222]) ).
tcf(c_33994,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_27222]) ).
tcf(c_33995,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_27222]) ).
tcf(c_33996,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_27222]) ).
tcf(c_33998,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_27222]) ).
tcf(c_34003,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33973,c_88]) ).
tcf(c_34006,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33969,c_88]) ).
tcf(c_34021,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33962,c_88]) ).
tcf(c_34031,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33998,c_88]) ).
tcf(c_34035,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33996,c_88]) ).
tcf(c_34045,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33993,c_88]) ).
tcf(c_34052,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33991,c_88]) ).
tcf(c_34065,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33984,c_88]) ).
tcf(c_34069,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33982,c_88]) ).
tcf(c_34079,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33974,c_88]) ).
tcf(c_34083,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33968,c_88]) ).
tcf(c_34096,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33966,c_88]) ).
tcf(c_34104,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33964,c_88]) ).
tcf(c_34357,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_27259]) ).
tcf(c_34358,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK6(X0,xS,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_27259]) ).
tcf(c_34359,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK6(xS,X0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_27259]) ).
tcf(c_34360,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(X0,xS,X1)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_27259]) ).
tcf(c_34361,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(xS,X0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_27259]) ).
tcf(c_34362,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_27259]) ).
tcf(c_34363,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_27259]) ).
tcf(c_34364,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_27259]) ).
tcf(c_34365,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_27259]) ).
tcf(c_34368,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_27259]) ).
tcf(c_34369,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_27259]) ).
tcf(c_34370,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_27259]) ).
tcf(c_34371,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_27259]) ).
tcf(c_34372,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_27259]) ).
tcf(c_34373,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_27259]) ).
tcf(c_34376,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK6(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_27259]) ).
tcf(c_34377,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_27259]) ).
tcf(c_34378,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_27259]) ).
tcf(c_34379,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_27259]) ).
tcf(c_34380,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_27259]) ).
tcf(c_34381,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_27259]) ).
tcf(c_34384,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_27259]) ).
tcf(c_34385,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_27259]) ).
tcf(c_34386,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_27259]) ).
tcf(c_34387,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_27259]) ).
tcf(c_34388,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_27259]) ).
tcf(c_34389,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_27259]) ).
tcf(c_34390,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_27259]) ).
tcf(c_34391,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_27259]) ).
tcf(c_34393,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_27259]) ).
tcf(c_34404,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34368,c_88]) ).
tcf(c_34407,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34364,c_88]) ).
tcf(c_34411,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34357,c_88]) ).
tcf(c_34415,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34377,c_88]) ).
tcf(c_34419,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34363,c_88]) ).
tcf(c_34423,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34393,c_88]) ).
tcf(c_34427,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34391,c_88]) ).
tcf(c_34437,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34388,c_88]) ).
tcf(c_34444,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34386,c_88]) ).
tcf(c_34461,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34379,c_88]) ).
tcf(c_34475,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(slcrc0,X0,X1)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34369,c_88]) ).
tcf(c_34479,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK7(xS,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34361,c_88]) ).
tcf(c_34487,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,xS,sK6(xS,X0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34359,c_88]) ).
tcf(c_34618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27724,c_664]) ).
tcf(c_34619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_27724,c_81]) ).
tcf(c_34624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34618,c_88]) ).
tcf(c_34628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34619,c_52]) ).
tcf(c_34639,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X2)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X2,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_27732,c_6018]) ).
tcf(c_34640,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1)))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1)),slcrc0) ),
inference(superposition,[status(thm)],[c_27732,c_6019]) ).
tcf(c_34642,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_27732,c_652]) ).
tcf(c_34650,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_28625]) ).
tcf(c_34651,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_28625]) ).
tcf(c_34652,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_28625]) ).
tcf(c_34653,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_28625]) ).
tcf(c_34654,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_28625]) ).
tcf(c_34655,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_28625]) ).
tcf(c_34656,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_28625]) ).
tcf(c_34657,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_28625]) ).
tcf(c_34658,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_28625]) ).
tcf(c_34659,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_28625]) ).
tcf(c_34660,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_28625]) ).
tcf(c_34661,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_28625]) ).
tcf(c_34662,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_28625]) ).
tcf(c_34663,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_28625]) ).
tcf(c_34664,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_28625]) ).
tcf(c_34665,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_28625]) ).
tcf(c_34666,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_28625]) ).
tcf(c_34667,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_28625]) ).
tcf(c_34668,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_28625]) ).
tcf(c_34669,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_28625]) ).
tcf(c_34670,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_28625]) ).
tcf(c_34671,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_28625]) ).
tcf(c_34672,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_28625]) ).
tcf(c_34673,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_28625]) ).
tcf(c_34674,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_28625]) ).
tcf(c_34677,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_28625]) ).
tcf(c_34678,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_28625]) ).
tcf(c_34679,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_28625]) ).
tcf(c_34680,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_28625]) ).
tcf(c_34681,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_28625]) ).
tcf(c_34682,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_28625]) ).
tcf(c_34683,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_28625]) ).
tcf(c_34684,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_28625]) ).
tcf(c_34686,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_28625]) ).
tcf(c_34691,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34661,c_88]) ).
tcf(c_34694,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34657,c_88]) ).
tcf(c_34709,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34650,c_88]) ).
tcf(c_34719,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34686,c_88]) ).
tcf(c_34723,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34684,c_88]) ).
tcf(c_34733,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34681,c_88]) ).
tcf(c_34740,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34679,c_88]) ).
tcf(c_34753,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34672,c_88]) ).
tcf(c_34757,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34670,c_88]) ).
tcf(c_34767,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34662,c_88]) ).
tcf(c_34771,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34656,c_88]) ).
tcf(c_34784,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34654,c_88]) ).
tcf(c_34792,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34652,c_88]) ).
tcf(c_34977,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_32576,c_6018]) ).
tcf(c_34978,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_32576,c_6019]) ).
tcf(c_34980,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_32576,c_652]) ).
tcf(c_34986,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_33653]) ).
tcf(c_34987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK6(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_33653]) ).
tcf(c_34988,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK6(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_33653]) ).
tcf(c_34989,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK7(X0,xS,X2)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_33653]) ).
tcf(c_34990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,X1,X2)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_33653]) ).
tcf(c_34991,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_33653]) ).
tcf(c_34992,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_33653]) ).
tcf(c_34993,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_33653]) ).
tcf(c_34994,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_33653]) ).
tcf(c_34995,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_10,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_33653]) ).
tcf(c_34996,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_33653]) ).
tcf(c_34997,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_33653]) ).
tcf(c_34998,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_33653]) ).
tcf(c_34999,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK4(iPr_def_10)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_33653]) ).
tcf(c_35000,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_33653]) ).
tcf(c_35001,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_33653]) ).
tcf(c_35002,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK4(xS)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_33653]) ).
tcf(c_35003,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_33653]) ).
tcf(c_35004,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_33653]) ).
tcf(c_35005,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK6(slcrc0,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_33653]) ).
tcf(c_35006,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_33653]) ).
tcf(c_35007,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_33653]) ).
tcf(c_35008,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_33653]) ).
tcf(c_35009,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_33653]) ).
tcf(c_35010,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK5(X0,iPr_def_11)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_33653]) ).
tcf(c_35013,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_33653]) ).
tcf(c_35014,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_33653]) ).
tcf(c_35015,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_33653]) ).
tcf(c_35016,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_33653]) ).
tcf(c_35017,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_33653]) ).
tcf(c_35018,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_33653]) ).
tcf(c_35019,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_33653]) ).
tcf(c_35020,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_33653]) ).
tcf(c_35022,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_33653]) ).
tcf(c_35033,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34997,c_88]) ).
tcf(c_35036,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34993,c_88]) ).
tcf(c_35040,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34986,c_88]) ).
tcf(c_35044,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35006,c_88]) ).
tcf(c_35054,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34992,c_88]) ).
tcf(c_35064,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35022,c_88]) ).
tcf(c_35068,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35020,c_88]) ).
tcf(c_35078,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35017,c_88]) ).
tcf(c_35085,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35015,c_88]) ).
tcf(c_35102,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35008,c_88]) ).
tcf(c_35116,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK7(slcrc0,X0,X2)))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34998,c_88]) ).
tcf(c_35120,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34990,c_88]) ).
tcf(c_35128,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK6(xS,X1,X2)))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34988,c_88]) ).
tcf(c_35437,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_33681]) ).
tcf(c_35438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0,xS,X3)
| aElementOf0(sK6(X0,xS,X3),X0)
| ( sK6(X0,xS,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_33681]) ).
tcf(c_35439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xS,X2,X3)
| aElementOf0(sK6(xS,X2,X3),X2)
| ( sK6(xS,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_33681]) ).
tcf(c_35440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(X0,xS,X3)
| aElementOf0(sK7(X0,xS,X3),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_33681]) ).
tcf(c_35441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(xS,X2,X3)
| aElementOf0(sK7(xS,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_33681]) ).
tcf(c_35442,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_33681]) ).
tcf(c_35443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_33681]) ).
tcf(c_35444,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_33681]) ).
tcf(c_35445,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5821,c_33681]) ).
tcf(c_35446,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,xS,X2)
| aElement0(sK7(iPr_def_10,xS,X2))
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5827,c_33681]) ).
tcf(c_35447,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20840,c_33681]) ).
tcf(c_35448,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_33681]) ).
tcf(c_35449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_33681]) ).
tcf(c_35450,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5980,c_33681]) ).
tcf(c_35451,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_33681]) ).
tcf(c_35452,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_10,X2)
| ( sK7(slcrc0,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_5979,c_33681]) ).
tcf(c_35453,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_15524,c_33681]) ).
tcf(c_35454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),iPr_def_10)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6137,c_33681]) ).
tcf(c_35455,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElement0(sK7(iPr_def_11,xS,X2))
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6101,c_33681]) ).
tcf(c_35456,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(slcrc0,xS,X2)
| ( sK6(slcrc0,xS,X2) = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6224,c_33681]) ).
tcf(c_35457,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_33681]) ).
tcf(c_35458,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6390,c_33681]) ).
tcf(c_35459,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_33681]) ).
tcf(c_35460,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sK7(slcrc0,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6425,c_33681]) ).
tcf(c_35461,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_33681]) ).
tcf(c_35464,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,slcrc0,X2)
| ( sK7(iPr_def_10,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6773,c_33681]) ).
tcf(c_35465,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_10,iPr_def_10,X2)
| ( sK7(iPr_def_10,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6848,c_33681]) ).
tcf(c_35466,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_33681]) ).
tcf(c_35467,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sK7(iPr_def_11,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6912,c_33681]) ).
tcf(c_35468,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_33681]) ).
tcf(c_35469,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sK7(iPr_def_11,iPr_def_11,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_6970,c_33681]) ).
tcf(c_35470,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sK7(iPr_def_11,iPr_def_10,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_8047,c_33681]) ).
tcf(c_35471,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_33681]) ).
tcf(c_35473,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_33681]) ).
tcf(c_35478,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35448,c_88]) ).
tcf(c_35481,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35444,c_88]) ).
tcf(c_35496,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35437,c_88]) ).
tcf(c_35506,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35473,c_88]) ).
tcf(c_35510,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35471,c_88]) ).
tcf(c_35520,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35468,c_88]) ).
tcf(c_35527,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35466,c_88]) ).
tcf(c_35540,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35459,c_88]) ).
tcf(c_35544,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35457,c_88]) ).
tcf(c_35554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(slcrc0,X0,X3)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35449,c_88]) ).
tcf(c_35558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35443,c_88]) ).
tcf(c_35571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP2(xS,X2,X3)
| aElementOf0(sK7(xS,X2,X3),X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35441,c_88]) ).
tcf(c_35579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(xS,X2,X3)
| aElementOf0(sK6(xS,X2,X3),X2)
| ( sK6(xS,X2,X3) = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35439,c_88]) ).
tcf(c_35687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27757,c_664]) ).
tcf(c_35693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35687,c_88]) ).
tcf(c_35702,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_27760,c_664]) ).
tcf(c_35708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35702,c_51]) ).
tcf(c_35716,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_32536,c_664]) ).
tcf(c_35717,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_32536,c_81]) ).
tcf(c_35722,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35716,c_6058]) ).
tcf(c_35726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35717,c_52]) ).
tcf(c_35736,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_32570,c_664]) ).
tcf(c_35742,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35736,c_6058]) ).
tcf(c_35751,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_32573,c_664]) ).
tcf(c_35757,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35751,c_51]) ).
tcf(c_35765,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_33349,c_664]) ).
tcf(c_35766,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_33349,c_81]) ).
tcf(c_35771,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35765,c_88]) ).
tcf(c_35775,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35766,c_52]) ).
tcf(c_35786,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,xS,sK7(xS,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_33357,c_6018]) ).
tcf(c_35787,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,xS,sK7(xS,slcrc0,X0)))
| ~ aElementOf0(sK7(xS,xS,sK7(xS,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_33357,c_6019]) ).
tcf(c_35789,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,xS,sK7(xS,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_33357,c_652]) ).
tcf(c_35794,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_33382,c_664]) ).
tcf(c_35797,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_33382,c_82]) ).
tcf(c_35803,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35794,c_88]) ).
tcf(c_35812,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_33385,c_664]) ).
tcf(c_35818,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35812,c_51]) ).
tcf(c_35855,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_33970,c_664]) ).
tcf(c_35856,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_33970,c_81]) ).
tcf(c_35861,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35855,c_88]) ).
tcf(c_35865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35856,c_52]) ).
tcf(c_35891,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_33978,c_6018]) ).
tcf(c_35892,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0)))
| ~ aElementOf0(sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_33978,c_6019]) ).
tcf(c_35894,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_11,sK7(xS,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_33978,c_652]) ).
tcf(c_35899,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_34003,c_664]) ).
tcf(c_35902,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_34003,c_82]) ).
tcf(c_35908,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35899,c_88]) ).
tcf(c_35920,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13205,c_6018]) ).
tcf(c_35921,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_13205,c_6019]) ).
tcf(c_35923,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13205,c_652]) ).
tcf(c_35932,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(xS,xS,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21047,c_10821]) ).
tcf(c_35933,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_21047,c_8634]) ).
tcf(c_35934,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_21047,c_57]) ).
tcf(c_35935,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(xS,xS,X1)),sK7(xS,xS,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21047,c_86]) ).
tcf(c_35936,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElement0(sK7(xS,xS,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21047,c_49]) ).
tcf(c_35938,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = X0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS)
| ~ aElementOf0(sK7(xS,xS,X0),xS) ),
inference(superposition,[status(thm)],[c_21047,c_158]) ).
tcf(c_35939,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(xS,xS,X1))
| ~ aSet0(sdtmndt0(X0,sK7(xS,xS,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(xS,xS,X1))) ),
inference(superposition,[status(thm)],[c_21047,c_6019]) ).
tcf(c_35940,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21047,c_6017]) ).
tcf(c_35941,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElement0(sK7(xS,xS,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21047,c_6018]) ).
tcf(c_35942,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElement0(sK7(xS,xS,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21047,c_5523]) ).
tcf(c_35945,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_21047,c_9315]) ).
tcf(c_35948,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_21047,c_5537]) ).
tcf(c_35957,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_21047,c_24306]) ).
tcf(c_35960,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_27031]) ).
tcf(c_35961,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_26990]) ).
tcf(c_35962,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_25957]) ).
tcf(c_35963,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_22322]) ).
tcf(c_35964,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_22324]) ).
tcf(c_35965,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_13009]) ).
tcf(c_35966,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_12981]) ).
tcf(c_35967,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_12952]) ).
tcf(c_35968,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_12915]) ).
tcf(c_35969,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_12887]) ).
tcf(c_35970,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_12372]) ).
tcf(c_35971,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_12309]) ).
tcf(c_35972,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_11250]) ).
tcf(c_35973,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_9413]) ).
tcf(c_35974,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_9362]) ).
tcf(c_35975,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_8875]) ).
tcf(c_35977,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_6056]) ).
tcf(c_35978,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35977,c_6058]) ).
tcf(c_35982,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35957,c_88]) ).
tcf(c_35986,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35948,c_5539]) ).
tcf(c_35994,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35975,c_6058]) ).
tcf(c_35998,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35974,c_6058]) ).
tcf(c_36002,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35973,c_6058]) ).
tcf(c_36006,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35970,c_6058]) ).
tcf(c_36010,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35968,c_6058]) ).
tcf(c_36014,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35965,c_6058]) ).
tcf(c_36018,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35964,c_6058]) ).
tcf(c_36022,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35960,c_6058]) ).
tcf(c_36026,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35945,c_5539]) ).
tcf(c_36040,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = X0 )
| ~ aSubsetOf0(iPr_def_10,xS)
| ~ aElementOf0(sK7(xS,xS,X0),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35938,c_88]) ).
tcf(c_36049,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,xS,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35972,c_6058]) ).
tcf(c_36054,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35971,c_6058]) ).
tcf(c_36058,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35969,c_6058]) ).
tcf(c_36062,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35967,c_6058]) ).
tcf(c_36066,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35966,c_6058]) ).
tcf(c_36070,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35963,c_6058]) ).
tcf(c_36075,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,xS,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35962,c_6058]) ).
tcf(c_36079,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35961,c_6058]) ).
tcf(c_36249,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21174,c_10821]) ).
tcf(c_36250,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_21174,c_8634]) ).
tcf(c_36251,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElementOf0(sK7(xS,slcrc0,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_21174,c_57]) ).
tcf(c_36252,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(xS,slcrc0,X1)),sK7(xS,slcrc0,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21174,c_86]) ).
tcf(c_36253,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElement0(sK7(xS,slcrc0,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_21174,c_49]) ).
tcf(c_36256,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(xS,slcrc0,X1))
| ~ aSet0(sdtmndt0(X0,sK7(xS,slcrc0,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(xS,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_21174,c_6019]) ).
tcf(c_36257,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElementOf0(sK7(xS,slcrc0,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21174,c_6017]) ).
tcf(c_36258,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElement0(sK7(xS,slcrc0,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21174,c_6018]) ).
tcf(c_36259,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElement0(sK7(xS,slcrc0,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_21174,c_5523]) ).
tcf(c_36261,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_21174,c_11027]) ).
tcf(c_36262,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_21174,c_9315]) ).
tcf(c_36265,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_21174,c_5537]) ).
tcf(c_36274,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_21174,c_24306]) ).
tcf(c_36277,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_27031]) ).
tcf(c_36278,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_26990]) ).
tcf(c_36279,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_25957]) ).
tcf(c_36280,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_22322]) ).
tcf(c_36281,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_22324]) ).
tcf(c_36282,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_13009]) ).
tcf(c_36283,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_12981]) ).
tcf(c_36284,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_12952]) ).
tcf(c_36285,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_12915]) ).
tcf(c_36286,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_12887]) ).
tcf(c_36287,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_12372]) ).
tcf(c_36288,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_12309]) ).
tcf(c_36289,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_11250]) ).
tcf(c_36290,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_9413]) ).
tcf(c_36291,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_9362]) ).
tcf(c_36292,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_8875]) ).
tcf(c_36294,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_6056]) ).
tcf(c_36295,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36294,c_6058]) ).
tcf(c_36299,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36274,c_88]) ).
tcf(c_36303,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36265,c_5539]) ).
tcf(c_36311,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36292,c_6058]) ).
tcf(c_36315,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36291,c_6058]) ).
tcf(c_36319,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36290,c_6058]) ).
tcf(c_36323,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36287,c_6058]) ).
tcf(c_36327,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36285,c_6058]) ).
tcf(c_36331,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36282,c_6058]) ).
tcf(c_36335,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36281,c_6058]) ).
tcf(c_36339,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36277,c_6058]) ).
tcf(c_36343,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36262,c_5539]) ).
tcf(c_36361,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36289,c_6058]) ).
tcf(c_36366,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36288,c_6058]) ).
tcf(c_36370,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36286,c_6058]) ).
tcf(c_36374,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36284,c_6058]) ).
tcf(c_36378,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36283,c_6058]) ).
tcf(c_36382,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36280,c_6058]) ).
tcf(c_36387,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36279,c_6058]) ).
tcf(c_36391,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36278,c_6058]) ).
tcf(c_36395,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36261,c_5539]) ).
tcf(c_36522,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_34006,c_664]) ).
tcf(c_36528,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36522,c_51]) ).
tcf(c_36536,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_34658,c_664]) ).
tcf(c_36537,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_34658,c_81]) ).
tcf(c_36542,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36536,c_88]) ).
tcf(c_36546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36537,c_52]) ).
tcf(c_36557,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_34666,c_6018]) ).
tcf(c_36558,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0)))
| ~ aElementOf0(sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_34666,c_6019]) ).
tcf(c_36560,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_10,sK7(xS,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_34666,c_652]) ).
tcf(c_36565,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_34691,c_664]) ).
tcf(c_36568,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_34691,c_82]) ).
tcf(c_36574,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36565,c_88]) ).
tcf(c_36583,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_34694,c_664]) ).
tcf(c_36589,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36583,c_51]) ).
tcf(c_36597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_35445,c_664]) ).
tcf(c_36598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_35445,c_81]) ).
tcf(c_36603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36597,c_88]) ).
tcf(c_36607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36598,c_52]) ).
tcf(c_36623,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(xS,iPr_def_11,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_22071,c_10821]) ).
tcf(c_36624,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK7(xS,iPr_def_11,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_22071,c_8634]) ).
tcf(c_36625,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElementOf0(sK7(xS,iPr_def_11,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_22071,c_57]) ).
tcf(c_36626,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(xS,iPr_def_11,X1)),sK7(xS,iPr_def_11,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_22071,c_86]) ).
tcf(c_36627,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElement0(sK7(xS,iPr_def_11,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_22071,c_49]) ).
tcf(c_36629,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK7(xS,iPr_def_11,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ~ aElementOf0(sK7(xS,iPr_def_11,X0),xS) ),
inference(superposition,[status(thm)],[c_22071,c_158]) ).
tcf(c_36630,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(xS,iPr_def_11,X1))
| ~ aSet0(sdtmndt0(X0,sK7(xS,iPr_def_11,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(xS,iPr_def_11,X1))) ),
inference(superposition,[status(thm)],[c_22071,c_6019]) ).
tcf(c_36631,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElementOf0(sK7(xS,iPr_def_11,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_22071,c_6017]) ).
tcf(c_36632,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElement0(sK7(xS,iPr_def_11,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_22071,c_6018]) ).
tcf(c_36633,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElement0(sK7(xS,iPr_def_11,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_22071,c_5523]) ).
tcf(c_36636,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_22071,c_9315]) ).
tcf(c_36639,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_22071,c_5537]) ).
tcf(c_36640,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_33681]) ).
tcf(c_36641,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_33653]) ).
tcf(c_36642,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_26094]) ).
tcf(c_36643,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_26047]) ).
tcf(c_36644,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_26030]) ).
tcf(c_36645,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_26002]) ).
tcf(c_36646,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElementOf0(sK7(xS,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_25648]) ).
tcf(c_36647,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_25650]) ).
tcf(c_36648,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_24306]) ).
tcf(c_36649,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_22547]) ).
tcf(c_36651,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_27031]) ).
tcf(c_36652,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_26990]) ).
tcf(c_36653,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_25957]) ).
tcf(c_36654,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_22322]) ).
tcf(c_36655,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_22324]) ).
tcf(c_36656,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_13009]) ).
tcf(c_36657,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_12981]) ).
tcf(c_36658,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_12952]) ).
tcf(c_36659,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_12915]) ).
tcf(c_36660,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_12887]) ).
tcf(c_36661,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_12372]) ).
tcf(c_36662,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_12309]) ).
tcf(c_36663,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_11250]) ).
tcf(c_36664,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_9413]) ).
tcf(c_36665,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_9362]) ).
tcf(c_36666,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_8875]) ).
tcf(c_36668,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_6056]) ).
tcf(c_36669,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36668,c_6058]) ).
tcf(c_36673,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36648,c_88]) ).
tcf(c_36677,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| aElement0(sK7(xS,iPr_def_11,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36639,c_5539]) ).
tcf(c_36685,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36666,c_6058]) ).
tcf(c_36689,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36649,c_88]) ).
tcf(c_36693,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36665,c_6058]) ).
tcf(c_36697,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36664,c_6058]) ).
tcf(c_36701,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36661,c_6058]) ).
tcf(c_36705,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36659,c_6058]) ).
tcf(c_36709,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36656,c_6058]) ).
tcf(c_36713,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36655,c_6058]) ).
tcf(c_36717,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36651,c_6058]) ).
tcf(c_36721,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36647,c_88]) ).
tcf(c_36725,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36644,c_88]) ).
tcf(c_36729,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36640,c_88]) ).
tcf(c_36733,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_11,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36636,c_5539]) ).
tcf(c_36751,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,iPr_def_11,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36663,c_6058]) ).
tcf(c_36756,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36662,c_6058]) ).
tcf(c_36760,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36660,c_6058]) ).
tcf(c_36764,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36658,c_6058]) ).
tcf(c_36768,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36657,c_6058]) ).
tcf(c_36772,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36654,c_6058]) ).
tcf(c_36777,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36653,c_6058]) ).
tcf(c_36781,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36652,c_6058]) ).
tcf(c_36785,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_11,X2)
| aElementOf0(sK7(xS,iPr_def_11,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36646,c_88]) ).
tcf(c_36790,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36645,c_88]) ).
tcf(c_36794,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36643,c_88]) ).
tcf(c_36798,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36642,c_88]) ).
tcf(c_36802,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,iPr_def_11,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36641,c_88]) ).
tcf(c_36824,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK7(xS,iPr_def_11,X0) = X0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ~ aElementOf0(sK7(xS,iPr_def_11,X0),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36629,c_6058,c_88]) ).
tcf(c_37139,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(X0,X1,sK7(xS,iPr_def_10,X2))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_22150,c_10821]) ).
tcf(c_37140,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK7(xS,iPr_def_10,X0) = X2 )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_10,X1)
| ~ aSubsetOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_22150,c_8634]) ).
tcf(c_37141,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| aElementOf0(sK7(xS,iPr_def_10,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_22150,c_57]) ).
tcf(c_37142,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtpldt0(sdtmndt0(X0,sK7(xS,iPr_def_10,X1)),sK7(xS,iPr_def_10,X1)) = X0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_22150,c_86]) ).
tcf(c_37143,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| aElement0(sK7(xS,iPr_def_10,X1))
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_22150,c_49]) ).
tcf(c_37145,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK7(xS,iPr_def_10,X0) = X0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10)
| ~ aElementOf0(sK7(xS,iPr_def_10,X0),xS) ),
inference(superposition,[status(thm)],[c_22150,c_158]) ).
tcf(c_37146,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ~ aSet0(X0)
| ~ aElement0(sK7(xS,iPr_def_10,X1))
| ~ aSet0(sdtmndt0(X0,sK7(xS,iPr_def_10,X1)))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,sK7(xS,iPr_def_10,X1))) ),
inference(superposition,[status(thm)],[c_22150,c_6019]) ).
tcf(c_37147,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| aElementOf0(sK7(xS,iPr_def_10,X2),X0)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_22150,c_6017]) ).
tcf(c_37148,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| aElement0(sK7(xS,iPr_def_10,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_22150,c_6018]) ).
tcf(c_37149,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| aElement0(sK7(xS,iPr_def_10,X2))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1))
| ~ aSubsetOf0(iPr_def_10,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_22150,c_5523]) ).
tcf(c_37152,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_22150,c_9315]) ).
tcf(c_37155,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0))
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_22150,c_5537]) ).
tcf(c_37156,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_33681]) ).
tcf(c_37157,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_33653]) ).
tcf(c_37158,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_26094]) ).
tcf(c_37159,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_26047]) ).
tcf(c_37160,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_26030]) ).
tcf(c_37161,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_26002]) ).
tcf(c_37162,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| aElementOf0(sK7(xS,iPr_def_10,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_25648]) ).
tcf(c_37163,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_25650]) ).
tcf(c_37164,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0))
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_24306]) ).
tcf(c_37165,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_22547]) ).
tcf(c_37167,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_27031]) ).
tcf(c_37168,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_26990]) ).
tcf(c_37169,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_25957]) ).
tcf(c_37170,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| aElementOf0(sK7(xS,iPr_def_10,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_22322]) ).
tcf(c_37171,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_22324]) ).
tcf(c_37172,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_13009]) ).
tcf(c_37173,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_12981]) ).
tcf(c_37174,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_12952]) ).
tcf(c_37175,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_12915]) ).
tcf(c_37176,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_12887]) ).
tcf(c_37177,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_12372]) ).
tcf(c_37178,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_12309]) ).
tcf(c_37179,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_11250]) ).
tcf(c_37180,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_9413]) ).
tcf(c_37181,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_9362]) ).
tcf(c_37182,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_8875]) ).
tcf(c_37184,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0))
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_6056]) ).
tcf(c_37185,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37184,c_6058]) ).
tcf(c_37189,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0))
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37164,c_88]) ).
tcf(c_37193,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| aElement0(sK7(xS,iPr_def_10,X0))
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37155,c_5539]) ).
tcf(c_37201,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37182,c_6058]) ).
tcf(c_37205,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37165,c_88]) ).
tcf(c_37209,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37181,c_6058]) ).
tcf(c_37213,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37180,c_6058]) ).
tcf(c_37217,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37177,c_6058]) ).
tcf(c_37221,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37175,c_6058]) ).
tcf(c_37225,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37172,c_6058]) ).
tcf(c_37229,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37171,c_6058]) ).
tcf(c_37233,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37167,c_6058]) ).
tcf(c_37237,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,iPr_def_10,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37163,c_88]) ).
tcf(c_37241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37160,c_88]) ).
tcf(c_37245,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37156,c_88]) ).
tcf(c_37249,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_10,X0))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37152,c_5539]) ).
tcf(c_37267,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37179,c_6058]) ).
tcf(c_37272,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37178,c_6058]) ).
tcf(c_37276,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37176,c_6058]) ).
tcf(c_37280,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37174,c_6058]) ).
tcf(c_37284,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37173,c_6058]) ).
tcf(c_37288,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| aElementOf0(sK7(xS,iPr_def_10,X1),xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37170,c_6058]) ).
tcf(c_37293,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37169,c_6058]) ).
tcf(c_37297,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37168,c_6058]) ).
tcf(c_37301,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,iPr_def_10,X2)
| aElementOf0(sK7(xS,iPr_def_10,X2),X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37162,c_88]) ).
tcf(c_37306,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37161,c_88]) ).
tcf(c_37310,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37159,c_88]) ).
tcf(c_37314,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37158,c_88]) ).
tcf(c_37318,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,iPr_def_10,X1)))) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37157,c_88]) ).
tcf(c_37340,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK7(xS,iPr_def_10,X0) = X0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_10)
| ~ aElementOf0(sK7(xS,iPr_def_10,X0),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37145,c_5539,c_88]) ).
tcf(c_37561,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(X2)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X2,slcrc0)
| ~ aElement0(sK7(xS,X0,sK7(xS,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_35453,c_6018]) ).
tcf(c_37562,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK7(xS,slcrc0,X1)))
| ~ aElementOf0(sK7(xS,X0,sK7(xS,slcrc0,X1)),slcrc0) ),
inference(superposition,[status(thm)],[c_35453,c_6019]) ).
tcf(c_37564,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK7(xS,slcrc0,X1))) ),
inference(superposition,[status(thm)],[c_35453,c_652]) ).
tcf(c_37569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_35478,c_664]) ).
tcf(c_37575,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37569,c_88]) ).
tcf(c_37584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_35481,c_664]) ).
tcf(c_37590,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37584,c_51]) ).
tcf(c_37598,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_10,X0)) = sK7(slcrc0,iPr_def_10,X0) )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14778,c_664]) ).
tcf(c_37599,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_10,X1)) = sK7(slcrc0,iPr_def_10,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14778,c_81]) ).
tcf(c_37604,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_10,X0)) = sK7(slcrc0,iPr_def_10,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37598,c_5539]) ).
tcf(c_37608,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_10,X1)) = sK7(slcrc0,iPr_def_10,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37599,c_52]) ).
tcf(c_37618,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,xS,X0)) = sK7(slcrc0,xS,X0) )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14779,c_664]) ).
tcf(c_37619,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,xS,X1)) = sK7(slcrc0,xS,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_14779,c_81]) ).
tcf(c_37624,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,xS,X0)) = sK7(slcrc0,xS,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37618,c_88]) ).
tcf(c_37628,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,xS,X1)) = sK7(slcrc0,xS,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37619,c_52]) ).
tcf(c_37641,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_11)) = sK5(X0,iPr_def_11) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14781,c_8416]) ).
tcf(c_37642,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sK6(slcrc0,slcrc0,sK5(X1,iPr_def_11)) = sK5(X1,iPr_def_11) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14781,c_111]) ).
tcf(c_37643,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_11)) = sK5(X0,iPr_def_11) )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14781,c_109]) ).
tcf(c_37650,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_14781,c_20274]) ).
tcf(c_37651,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_14781,c_17037]) ).
tcf(c_37652,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14781,c_8624]) ).
tcf(c_37653,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_14781,c_7953]) ).
tcf(c_37656,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37650,c_51]) ).
tcf(c_37659,plain,
( aSubsetOf0(iPr_def_11,xS)
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37651,c_6058,c_51]) ).
tcf(c_37666,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37653,c_6058,c_51]) ).
tcf(c_37679,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37652,c_6058,c_51]) ).
tcf(c_37692,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))),slcrc0) ),
inference(superposition,[status(thm)],[c_13377,c_6019]) ).
tcf(c_37694,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_13377,c_652]) ).
tcf(c_37702,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElement0(sK7(slcrc0,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_22911,c_8416]) ).
tcf(c_37703,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X1,xS))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22911,c_111]) ).
tcf(c_37704,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_22911,c_109]) ).
tcf(c_37707,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_22911,c_17148]) ).
tcf(c_37708,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_22911,c_17003]) ).
tcf(c_37714,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_22911,c_20274]) ).
tcf(c_37716,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_22911,c_8624]) ).
tcf(c_37717,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_22911,c_7953]) ).
tcf(c_37720,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(slcrc0,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37714,c_51]) ).
tcf(c_37723,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37708,c_6058]) ).
tcf(c_37726,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37707,c_6058]) ).
tcf(c_37733,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37717,c_88,c_51]) ).
tcf(c_37746,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,xS,sK5(slcrc0,xS))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37716,c_88,c_51]) ).
tcf(c_37759,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElement0(sK7(slcrc0,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23624,c_8416]) ).
tcf(c_37760,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X1,xS))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23624,c_111]) ).
tcf(c_37761,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23624,c_109]) ).
tcf(c_37764,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23624,c_17148]) ).
tcf(c_37765,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23624,c_17003]) ).
tcf(c_37771,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_23624,c_20274]) ).
tcf(c_37773,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23624,c_8624]) ).
tcf(c_37774,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23624,c_7953]) ).
tcf(c_37777,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37771,c_51]) ).
tcf(c_37780,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37765,c_6058]) ).
tcf(c_37783,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37764,c_6058]) ).
tcf(c_37790,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37774,c_88,c_51]) ).
tcf(c_37803,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37773,c_88,c_51]) ).
tcf(c_37853,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| aElement0(sK7(slcrc0,xS,X1))
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23865,c_8416]) ).
tcf(c_37854,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X1,xS))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23865,c_111]) ).
tcf(c_37855,plain,
! [X0: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_23865,c_109]) ).
tcf(c_37858,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23865,c_17148]) ).
tcf(c_37859,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23865,c_17003]) ).
tcf(c_37865,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_23865,c_20274]) ).
tcf(c_37867,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_23865,c_8624]) ).
tcf(c_37868,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_23865,c_7953]) ).
tcf(c_37871,plain,
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37865,c_51]) ).
tcf(c_37874,plain,
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37859,c_6058]) ).
tcf(c_37877,plain,
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37858,c_6058]) ).
tcf(c_37884,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37868,c_88,c_51]) ).
tcf(c_37897,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37867,c_88,c_51]) ).
tcf(c_37909,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_37659,c_111]) ).
tcf(c_37910,plain,
( ( xS = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_37659,c_109]) ).
tcf(c_37914,plain,
( ( xS = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37910,c_88]) ).
tcf(c_37918,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)) = sK5(slcrc0,iPr_def_11) )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37909,c_88]) ).
tcf(c_37929,plain,
( sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_37656,c_160]) ).
tcf(c_37930,plain,
( sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK5(slcrc0,iPr_def_11),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_37656,c_159]) ).
tcf(c_37931,plain,
( aElement0(sK5(slcrc0,iPr_def_11))
| sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_37656,c_155]) ).
tcf(c_37933,plain,
( aElement0(sK5(slcrc0,iPr_def_11))
| sP0(slcrc0,slcrc0,sK5(slcrc0,iPr_def_11))
| ( slcrc0 = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37931,c_51]) ).
tcf(c_37937,plain,
( aElement0(sK5(slcrc0,iPr_def_11))
| ( slcrc0 = iPr_def_11 ) ),
inference(global_subsumption_just,[status(thm)],[c_37933,c_51,c_6110,c_22045,c_32036]) ).
tcf(c_37943,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(iPr_def_11,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_37937,c_10994]) ).
tcf(c_37955,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,xS,sK5(slcrc0,xS)))
| ~ aElementOf0(sK7(xS,xS,sK5(slcrc0,xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_37720,c_6019]) ).
tcf(c_37957,plain,
( sP2(slcrc0,slcrc0,sK7(xS,xS,sK5(slcrc0,xS)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,xS,sK5(slcrc0,xS))) ),
inference(superposition,[status(thm)],[c_37720,c_652]) ).
tcf(c_37964,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_11,sK5(slcrc0,xS)))
| ~ aElementOf0(sK7(xS,iPr_def_11,sK5(slcrc0,xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_37777,c_6019]) ).
tcf(c_37966,plain,
( sP2(slcrc0,slcrc0,sK7(xS,iPr_def_11,sK5(slcrc0,xS)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_11,sK5(slcrc0,xS))) ),
inference(superposition,[status(thm)],[c_37777,c_652]) ).
tcf(c_37973,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_10,sK5(slcrc0,xS)))
| ~ aElementOf0(sK7(xS,iPr_def_10,sK5(slcrc0,xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_37871,c_6019]) ).
tcf(c_37975,plain,
( sP2(slcrc0,slcrc0,sK7(xS,iPr_def_10,sK5(slcrc0,xS)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,iPr_def_10,sK5(slcrc0,xS))) ),
inference(superposition,[status(thm)],[c_37871,c_652]) ).
tcf(c_37980,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_11,X0)) = sK7(slcrc0,iPr_def_11,X0) )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14783,c_664]) ).
tcf(c_37981,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_11,X1)) = sK7(slcrc0,iPr_def_11,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14783,c_81]) ).
tcf(c_37986,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_11,X0)) = sK7(slcrc0,iPr_def_11,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37980,c_6058]) ).
tcf(c_37990,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(slcrc0,iPr_def_11,X1)) = sK7(slcrc0,iPr_def_11,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37981,c_52]) ).
tcf(c_38000,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)) = sK7(iPr_def_10,slcrc0,X0) )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14784,c_664]) ).
tcf(c_38002,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X1)) = sK7(iPr_def_10,slcrc0,X1) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14784,c_83]) ).
tcf(c_38011,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X1)) = sK7(iPr_def_10,slcrc0,X1) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38002,c_52]) ).
tcf(c_38014,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)) = sK7(iPr_def_10,slcrc0,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38000,c_51]) ).
tcf(c_38062,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14785,c_664]) ).
tcf(c_38064,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14785,c_83]) ).
tcf(c_38073,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38064,c_52]) ).
tcf(c_38076,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38062,c_51]) ).
tcf(c_38086,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = sK7(iPr_def_10,iPr_def_10,X0) )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14786,c_664]) ).
tcf(c_38089,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,X1)) = sK7(iPr_def_10,iPr_def_10,X1) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14786,c_82]) ).
tcf(c_38090,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = sK7(iPr_def_10,iPr_def_10,X0) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14786,c_84]) ).
tcf(c_38097,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,X0)) = sK7(iPr_def_10,iPr_def_10,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38086,c_5539]) ).
tcf(c_38107,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = sK7(iPr_def_11,iPr_def_11,X0) )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14787,c_664]) ).
tcf(c_38110,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,X1)) = sK7(iPr_def_11,iPr_def_11,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14787,c_82]) ).
tcf(c_38111,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = sK7(iPr_def_11,iPr_def_11,X0) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14787,c_84]) ).
tcf(c_38118,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,X0)) = sK7(iPr_def_11,iPr_def_11,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38107,c_6058]) ).
tcf(c_38128,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = sK7(iPr_def_10,iPr_def_11,X0) )
| ~ aSet0(iPr_def_11)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14788,c_664]) ).
tcf(c_38129,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X1)) = sK7(iPr_def_10,iPr_def_11,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14788,c_81]) ).
tcf(c_38130,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X1)) = sK7(iPr_def_10,iPr_def_11,X1) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14788,c_83]) ).
tcf(c_38131,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X1)) = sK7(iPr_def_10,iPr_def_11,X1) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14788,c_82]) ).
tcf(c_38132,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = sK7(iPr_def_10,iPr_def_11,X0) )
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14788,c_84]) ).
tcf(c_38142,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_11,X0) = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,X0)) = sK7(iPr_def_10,iPr_def_11,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38128,c_6058]) ).
tcf(c_38188,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK4(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_25003,c_8634]) ).
tcf(c_38189,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_25003,c_57]) ).
tcf(c_38190,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ( sdtpldt0(sdtmndt0(xS,sK4(iPr_def_11)),sK4(iPr_def_11)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_25003,c_86]) ).
tcf(c_38192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X2)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_33681]) ).
tcf(c_38193,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_33653]) ).
tcf(c_38194,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_26094]) ).
tcf(c_38195,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_26047]) ).
tcf(c_38196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X2)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_26030]) ).
tcf(c_38197,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK4(iPr_def_11)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_26002]) ).
tcf(c_38198,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X2)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_25648]) ).
tcf(c_38199,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK4(iPr_def_11))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_25650]) ).
tcf(c_38201,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_25003,c_22547]) ).
tcf(c_38236,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ( sdtpldt0(sdtmndt0(xS,sK4(iPr_def_11)),sK4(iPr_def_11)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38190,c_88]) ).
tcf(c_38336,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,xS,X2)
| aElement0(sK7(slcrc0,xS,X2))
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_25776,c_8416]) ).
tcf(c_38337,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(xS,X2,sK5(X1,xS))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_25776,c_111]) ).
tcf(c_38338,plain,
! [X0: $i,X1: $i] :
( ( X0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_25776,c_109]) ).
tcf(c_38341,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_25776,c_17148]) ).
tcf(c_38342,plain,
! [X0: $i] :
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_25776,c_17003]) ).
tcf(c_38348,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_25776,c_20274]) ).
tcf(c_38350,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_25776,c_8624]) ).
tcf(c_38351,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_25776,c_7953]) ).
tcf(c_38354,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(slcrc0,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38348,c_51]) ).
tcf(c_38357,plain,
! [X0: $i] :
( ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38342,c_6058]) ).
tcf(c_38360,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38341,c_6058]) ).
tcf(c_38367,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(slcrc0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38351,c_88,c_51]) ).
tcf(c_38380,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(xS,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK5(slcrc0,xS))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38350,c_88,c_51]) ).
tcf(c_38394,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_26615,c_6018]) ).
tcf(c_38395,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_26615,c_6019]) ).
tcf(c_38397,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_26615,c_652]) ).
tcf(c_38404,plain,
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ~ aElementOf0(sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))),slcrc0) ),
inference(superposition,[status(thm)],[c_28714,c_6019]) ).
tcf(c_38406,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)))) ),
inference(superposition,[status(thm)],[c_28714,c_652]) ).
tcf(c_38412,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(xS,X0,sK5(slcrc0,xS))) ),
inference(superposition,[status(thm)],[c_38354,c_6018]) ).
tcf(c_38413,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK5(slcrc0,xS)))
| ~ aElementOf0(sK7(xS,X0,sK5(slcrc0,xS)),slcrc0) ),
inference(superposition,[status(thm)],[c_38354,c_6019]) ).
tcf(c_38415,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(xS,X0,sK5(slcrc0,xS)))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(xS,X0,sK5(slcrc0,xS))) ),
inference(superposition,[status(thm)],[c_38354,c_652]) ).
tcf(c_38420,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = sK7(iPr_def_11,iPr_def_10,X0) )
| ~ aSet0(iPr_def_10)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_14789,c_664]) ).
tcf(c_38421,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X1)) = sK7(iPr_def_11,iPr_def_10,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_14789,c_81]) ).
tcf(c_38422,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X1)) = sK7(iPr_def_11,iPr_def_10,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14789,c_83]) ).
tcf(c_38423,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X1)) = sK7(iPr_def_11,iPr_def_10,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14789,c_82]) ).
tcf(c_38424,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = sK7(iPr_def_11,iPr_def_10,X0) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_14789,c_84]) ).
tcf(c_38434,plain,
! [X0: $i] :
( ( sdtmndt0(iPr_def_10,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,X0)) = sK7(iPr_def_11,iPr_def_10,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38420,c_5539]) ).
tcf(c_38451,plain,
( ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(xS))))
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(xS))),slcrc0) ),
inference(superposition,[status(thm)],[c_15323,c_6019]) ).
tcf(c_38453,plain,
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(xS))))
| ( slcrc0 = xS )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK4(xS)))) ),
inference(superposition,[status(thm)],[c_15323,c_652]) ).
tcf(c_38456,plain,
! [X0: $i] :
( ~ aSubsetOf0(iPr_def_10,iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(global_subsumption_just,[status(thm)],[c_15684,c_88,c_4835,c_6042,c_6058,c_6810,c_6811,c_12489,c_12799,c_12798,c_15684,c_17133]) ).
tcf(c_38457,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(renaming,[status(thm)],[c_38456]) ).
tcf(c_38463,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8647,c_38457]) ).
tcf(c_38464,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14773,c_38457]) ).
tcf(c_38465,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_9569,c_38457]) ).
tcf(c_38466,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8649,c_38457]) ).
tcf(c_38468,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_38465,c_16497]) ).
tcf(c_38471,plain,
! [X0: $i] :
( ~ aSubsetOf0(xS,iPr_def_11)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(global_subsumption_just,[status(thm)],[c_15884,c_4835,c_6810,c_6811,c_17133]) ).
tcf(c_38472,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(renaming,[status(thm)],[c_38471]) ).
tcf(c_38479,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(iPr_def_11,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_25776,c_38472]) ).
tcf(c_38480,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_23188,c_38472]) ).
tcf(c_38481,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_24239,c_38472]) ).
tcf(c_38482,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_21364,c_38472]) ).
tcf(c_38483,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38482,c_6058]) ).
tcf(c_38486,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(slcrc0,xS)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38481,c_6058]) ).
tcf(c_38489,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38480,c_6058]) ).
tcf(c_38492,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK5(iPr_def_11,xS))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38479,c_6058]) ).
tcf(c_38509,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16380,c_10821]) ).
tcf(c_38511,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X1)
| aElementOf0(sK5(X1,iPr_def_10),X0)
| ( sK5(X1,iPr_def_10) = xx )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_16380,c_57]) ).
tcf(c_38512,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,iPr_def_10)),sK5(X0,iPr_def_10)) = iPr_def_10 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16380,c_86]) ).
tcf(c_38513,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| aElement0(sK5(X0,iPr_def_10))
| ( sK5(X0,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16380,c_49]) ).
tcf(c_38514,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sK5(iPr_def_10,iPr_def_10) = xx )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_16380,c_54]) ).
tcf(c_38515,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16380,c_12234]) ).
tcf(c_38521,plain,
( aSubsetOf0(iPr_def_10,iPr_def_10)
| ( sK5(iPr_def_10,iPr_def_10) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38514,c_5539]) ).
tcf(c_38544,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38509,c_5539]) ).
tcf(c_38549,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK5(X0,iPr_def_10)),sK5(X0,iPr_def_10)) = iPr_def_10 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38512,c_5539]) ).
tcf(c_38575,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElement0(sK7(slcrc0,iPr_def_11,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16539,c_8416]) ).
tcf(c_38576,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X2,sK5(X1,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_16539,c_111]) ).
tcf(c_38577,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_16539,c_109]) ).
tcf(c_38584,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_16539,c_20274]) ).
tcf(c_38585,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_16539,c_17037]) ).
tcf(c_38586,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_16539,c_8624]) ).
tcf(c_38587,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16539,c_7953]) ).
tcf(c_38590,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38584,c_51]) ).
tcf(c_38593,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38585,c_6058,c_51]) ).
tcf(c_38600,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38587,c_6058,c_51]) ).
tcf(c_38613,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(iPr_def_11,X0) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38586,c_6058,c_51]) ).
tcf(c_38717,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_38593,c_8416]) ).
tcf(c_38718,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_38593,c_111]) ).
tcf(c_38719,plain,
! [X0: $i] :
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_38593,c_109]) ).
tcf(c_38723,plain,
! [X0: $i] :
( ( xS = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38719,c_88]) ).
tcf(c_38727,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38717,c_88]) ).
tcf(c_38731,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38718,c_88]) ).
tcf(c_38742,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_38590,c_6018]) ).
tcf(c_38743,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11)))
| ~ aElementOf0(sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11)),slcrc0) ),
inference(superposition,[status(thm)],[c_38590,c_6019]) ).
tcf(c_38745,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11)))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,X0,sK5(slcrc0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_38590,c_652]) ).
tcf(c_38753,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13593,c_6018]) ).
tcf(c_38754,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ~ aElementOf0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_13593,c_6019]) ).
tcf(c_38756,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) ),
inference(superposition,[status(thm)],[c_13593,c_652]) ).
tcf(c_38768,plain,
! [X0: $i] : sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)) = sK7(iPr_def_10,slcrc0,X0),
inference(superposition,[status(thm)],[c_5540,c_38011]) ).
tcf(c_38820,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_38073]) ).
tcf(c_38821,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_38073]) ).
tcf(c_38822,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,iPr_def_11,X2)
| aElementOf0(sK6(X0,iPr_def_11,X2),X0)
| ( sK6(X0,iPr_def_11,X2) = X2 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_38073]) ).
tcf(c_38823,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_38073]) ).
tcf(c_38824,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,iPr_def_11,X2)
| aElementOf0(sK7(X0,iPr_def_11,X2),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_38073]) ).
tcf(c_38825,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_38073]) ).
tcf(c_38826,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_38073]) ).
tcf(c_38827,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_38073]) ).
tcf(c_38828,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_38073]) ).
tcf(c_38829,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_5821,c_38073]) ).
tcf(c_38830,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_11,X1)
| aElement0(sK7(iPr_def_10,iPr_def_11,X1))
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_5827,c_38073]) ).
tcf(c_38831,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| aElementOf0(sK7(xS,iPr_def_11,X1),iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_20840,c_38073]) ).
tcf(c_38832,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_38073]) ).
tcf(c_38833,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_38073]) ).
tcf(c_38834,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElementOf0(sK7(iPr_def_11,iPr_def_11,X1),iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6137,c_38073]) ).
tcf(c_38835,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| aElement0(sK7(iPr_def_11,iPr_def_11,X1))
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6101,c_38073]) ).
tcf(c_38836,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,iPr_def_11,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6224,c_38073]) ).
tcf(c_38839,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6459,c_38073]) ).
tcf(c_38840,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_38073]) ).
tcf(c_38841,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6453,c_38073]) ).
tcf(c_38842,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6454,c_38073]) ).
tcf(c_38843,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_38073]) ).
tcf(c_38844,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_38073]) ).
tcf(c_38845,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_38073]) ).
tcf(c_38846,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_15326,c_38073]) ).
tcf(c_38847,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6777,c_38073]) ).
tcf(c_38848,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6852,c_38073]) ).
tcf(c_38850,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6911,c_38073]) ).
tcf(c_38852,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6969,c_38073]) ).
tcf(c_38853,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_8046,c_38073]) ).
tcf(c_38854,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_38073]) ).
tcf(c_38855,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK7(slcrc0,xS,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_10938,c_38073]) ).
tcf(c_38856,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_38073]) ).
tcf(c_38857,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_38073]) ).
tcf(c_38858,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_38073]) ).
tcf(c_38859,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_38073]) ).
tcf(c_38860,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_38073]) ).
tcf(c_38861,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_38073]) ).
tcf(c_38867,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38832,c_6058]) ).
tcf(c_38870,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38828,c_6058]) ).
tcf(c_38873,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38820,c_6058]) ).
tcf(c_38898,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38861,c_6058]) ).
tcf(c_38902,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38860,c_6058]) ).
tcf(c_38906,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38859,c_6058]) ).
tcf(c_38910,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38858,c_6058]) ).
tcf(c_38914,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38857,c_6058]) ).
tcf(c_38918,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38856,c_6058]) ).
tcf(c_38925,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38854,c_6058]) ).
tcf(c_38944,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38845,c_6058]) ).
tcf(c_38948,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38844,c_6058]) ).
tcf(c_38958,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38833,c_6058]) ).
tcf(c_38962,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38827,c_6058]) ).
tcf(c_38971,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,X1,X2)
| aElementOf0(sK7(iPr_def_11,X1,X2),X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38825,c_6058]) ).
tcf(c_38979,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(iPr_def_11,X1,X2)
| aElementOf0(sK6(iPr_def_11,X1,X2),X1)
| ( sK6(iPr_def_11,X1,X2) = X2 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38823,c_6058]) ).
tcf(c_39140,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) = sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_38090]) ).
tcf(c_39141,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10)) )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_38090]) ).
tcf(c_39142,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(X0,iPr_def_10,X1))) = sK7(iPr_def_10,iPr_def_10,sK6(X0,iPr_def_10,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_38090]) ).
tcf(c_39143,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_38090]) ).
tcf(c_39144,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(X0,iPr_def_10,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(X0,iPr_def_10,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_38090]) ).
tcf(c_39145,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_38090]) ).
tcf(c_39147,plain,
sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = sK7(iPr_def_10,iPr_def_10,xx),
inference(superposition,[status(thm)],[c_5540,c_38090]) ).
tcf(c_39148,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(X0))) = sK7(iPr_def_10,iPr_def_10,sK4(X0)) )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_38090]) ).
tcf(c_39149,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(xS))) = sK7(iPr_def_10,iPr_def_10,sK4(xS)) ) ),
inference(superposition,[status(thm)],[c_15309,c_38090]) ).
tcf(c_39150,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,xS))) = sK7(iPr_def_10,iPr_def_10,sK5(X0,xS)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_38090]) ).
tcf(c_39151,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_38090]) ).
tcf(c_39152,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_5821,c_38090]) ).
tcf(c_39155,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(xS,X0,X1)) ) ),
inference(superposition,[status(thm)],[c_20840,c_38090]) ).
tcf(c_39156,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_38090]) ).
tcf(c_39157,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)) )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_38090]) ).
tcf(c_39158,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_10916,c_38090]) ).
tcf(c_39161,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11))) = sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_6130,c_38090]) ).
tcf(c_39162,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_11))) = sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_11)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_38090]) ).
tcf(c_39163,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,X0,X1)) ) ),
inference(superposition,[status(thm)],[c_6137,c_38090]) ).
tcf(c_39164,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6127,c_38090]) ).
tcf(c_39165,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6224,c_38090]) ).
tcf(c_39170,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(xS,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_20812,c_38090]) ).
tcf(c_39171,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6766,c_38090]) ).
tcf(c_39172,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(xS,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20809,c_38090]) ).
tcf(c_39173,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6841,c_38090]) ).
tcf(c_39176,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) = sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_7103,c_38090]) ).
tcf(c_39177,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20788,c_38090]) ).
tcf(c_39178,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_7827,c_38090]) ).
tcf(c_39180,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_38090]) ).
tcf(c_39181,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_38090]) ).
tcf(c_39183,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16380,c_38090]) ).
tcf(c_39184,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_14509,c_38090]) ).
tcf(c_39185,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(X0))) = sK7(iPr_def_10,iPr_def_10,sK4(X0)) )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_38090]) ).
tcf(c_39186,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(X0))) = sK7(iPr_def_10,iPr_def_10,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_38090]) ).
tcf(c_39190,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_21532,c_38090]) ).
tcf(c_39191,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(xS,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_21530,c_38090]) ).
tcf(c_39198,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10))) = sK7(iPr_def_10,iPr_def_10,sK4(iPr_def_10)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39140,c_5539]) ).
tcf(c_39238,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39156,c_5539]) ).
tcf(c_39241,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39151,c_5539]) ).
tcf(c_39244,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK4(X0))) = sK7(iPr_def_10,iPr_def_10,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39148,c_5539]) ).
tcf(c_39248,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39141,c_5539]) ).
tcf(c_39274,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39157,c_5539]) ).
tcf(c_39278,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39145,c_5539]) ).
tcf(c_39286,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_10,sK6(iPr_def_10,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39143,c_5539]) ).
tcf(c_39469,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) = sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_38111]) ).
tcf(c_39470,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11))) = sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_38111]) ).
tcf(c_39471,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1))) = sK7(iPr_def_11,iPr_def_11,sK6(X0,iPr_def_11,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_38111]) ).
tcf(c_39472,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_38111]) ).
tcf(c_39473,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1))) = sK7(iPr_def_11,iPr_def_11,sK7(X0,iPr_def_11,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_38111]) ).
tcf(c_39474,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_38111]) ).
tcf(c_39475,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = sK7(iPr_def_11,iPr_def_11,xx) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_38111]) ).
tcf(c_39476,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(X0))) = sK7(iPr_def_11,iPr_def_11,sK4(X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_38111]) ).
tcf(c_39477,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_38111]) ).
tcf(c_39478,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_5821,c_38111]) ).
tcf(c_39481,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_38111]) ).
tcf(c_39482,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_38111]) ).
tcf(c_39485,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK6(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6224,c_38111]) ).
tcf(c_39488,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10))) = sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_6459,c_38111]) ).
tcf(c_39489,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_10))) = sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_38111]) ).
tcf(c_39490,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6453,c_38111]) ).
tcf(c_39491,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) = sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_6454,c_38111]) ).
tcf(c_39492,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11))) = sK7(iPr_def_11,iPr_def_11,sK5(X0,iPr_def_11)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_38111]) ).
tcf(c_39493,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = sK7(iPr_def_11,iPr_def_11,sK4(xS)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_38111]) ).
tcf(c_39494,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = sK7(iPr_def_11,iPr_def_11,sK4(xS)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_38111]) ).
tcf(c_39495,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = sK7(iPr_def_11,iPr_def_11,sK4(xS)) ) ),
inference(superposition,[status(thm)],[c_15326,c_38111]) ).
tcf(c_39496,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6777,c_38111]) ).
tcf(c_39497,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6852,c_38111]) ).
tcf(c_39499,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6911,c_38111]) ).
tcf(c_39501,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6969,c_38111]) ).
tcf(c_39502,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_8046,c_38111]) ).
tcf(c_39503,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_38111]) ).
tcf(c_39504,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_10938,c_38111]) ).
tcf(c_39505,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_38111]) ).
tcf(c_39506,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_38111]) ).
tcf(c_39507,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_38111]) ).
tcf(c_39508,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_38111]) ).
tcf(c_39509,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_38111]) ).
tcf(c_39510,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_38111]) ).
tcf(c_39511,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11))) = sK7(iPr_def_11,iPr_def_11,sK4(iPr_def_11)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39469,c_6058]) ).
tcf(c_39529,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = sK7(iPr_def_11,iPr_def_11,sK4(xS)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39494,c_6058]) ).
tcf(c_39533,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(xS))) = sK7(iPr_def_11,iPr_def_11,sK4(xS)) )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39493,c_6058]) ).
tcf(c_39537,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39481,c_6058]) ).
tcf(c_39540,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39477,c_6058]) ).
tcf(c_39543,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(X0))) = sK7(iPr_def_11,iPr_def_11,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39476,c_6058]) ).
tcf(c_39552,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39510,c_6058]) ).
tcf(c_39556,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,iPr_def_11,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39509,c_6058]) ).
tcf(c_39560,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39508,c_6058]) ).
tcf(c_39564,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39507,c_6058]) ).
tcf(c_39568,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39506,c_6058]) ).
tcf(c_39572,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39505,c_6058]) ).
tcf(c_39579,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39503,c_6058]) ).
tcf(c_39604,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1))) = sK7(iPr_def_11,iPr_def_11,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39482,c_6058]) ).
tcf(c_39608,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39474,c_6058]) ).
tcf(c_39616,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_11,sK6(iPr_def_11,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39472,c_6058]) ).
tcf(c_39852,plain,
! [X0: $i] :
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_38768,c_160]) ).
tcf(c_39853,plain,
! [X0: $i] :
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_10,slcrc0,X0),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_38768,c_159]) ).
tcf(c_39854,plain,
! [X0: $i] :
( aElement0(sK7(iPr_def_10,slcrc0,X0))
| sP0(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0))
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_38768,c_155]) ).
tcf(c_39856,plain,
! [X0: $i] :
( aElement0(sK7(iPr_def_10,slcrc0,X0))
| sP0(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39854,c_51]) ).
tcf(c_39859,plain,
! [X0: $i] :
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,slcrc0,X0))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_10,slcrc0,X0),slcrc0) ),
inference(light_normalisation,[status(thm)],[c_39852,c_38768]) ).
tcf(c_39885,plain,
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx)),slcrc0) ),
inference(superposition,[status(thm)],[c_39147,c_160]) ).
tcf(c_39886,plain,
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,xx),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx)),slcrc0) ),
inference(superposition,[status(thm)],[c_39147,c_159]) ).
tcf(c_39887,plain,
( aElement0(sK7(iPr_def_10,iPr_def_10,xx))
| sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx))
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_39147,c_155]) ).
tcf(c_39889,plain,
( aElement0(sK7(iPr_def_10,iPr_def_10,xx))
| sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39887,c_51]) ).
tcf(c_39892,plain,
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,xx))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,xx),slcrc0) ),
inference(light_normalisation,[status(thm)],[c_39885,c_39147]) ).
tcf(c_39914,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(X0,X1,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_17392,c_10821]) ).
tcf(c_39915,plain,
! [X0: $i,X1: $i] :
( ( X1 = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_17392,c_8634]) ).
tcf(c_39916,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_17392,c_57]) ).
tcf(c_39917,plain,
! [X0: $i] :
( ( sdtpldt0(sdtmndt0(X0,xx),xx) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_17392,c_86]) ).
tcf(c_39920,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_89]) ).
tcf(c_39921,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(sdtmndt0(X0,xx),iPr_def_10))) = slcrc0 )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,xx)) ),
inference(superposition,[status(thm)],[c_17392,c_6019]) ).
tcf(c_39922,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(sdtmndt0(X0,X1),iPr_def_10))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_17392,c_6017]) ).
tcf(c_39928,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_10,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17392,c_9315]) ).
tcf(c_39932,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_33681]) ).
tcf(c_39933,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_33653]) ).
tcf(c_39934,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_26094]) ).
tcf(c_39935,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_26047]) ).
tcf(c_39936,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_26030]) ).
tcf(c_39937,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_26002]) ).
tcf(c_39938,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_25648]) ).
tcf(c_39939,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,X0,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_25650]) ).
tcf(c_39941,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_22547]) ).
tcf(c_39943,plain,
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = sK7(iPr_def_11,iPr_def_11,xx) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_38111]) ).
tcf(c_39944,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_38073]) ).
tcf(c_39945,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_27031]) ).
tcf(c_39946,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_26990]) ).
tcf(c_39947,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_25957]) ).
tcf(c_39948,plain,
! [X0: $i] :
( aElementOf0(xx,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_22322]) ).
tcf(c_39949,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_22324]) ).
tcf(c_39950,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_13009]) ).
tcf(c_39951,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_12981]) ).
tcf(c_39952,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_12952]) ).
tcf(c_39953,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_12915]) ).
tcf(c_39954,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_12887]) ).
tcf(c_39955,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_12372]) ).
tcf(c_39956,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_12309]) ).
tcf(c_39957,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_17392,c_11250]) ).
tcf(c_39958,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_9413]) ).
tcf(c_39959,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_9362]) ).
tcf(c_39963,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_6057]) ).
tcf(c_39964,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39963,c_16497]) ).
tcf(c_39965,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39920,c_14297]) ).
tcf(c_39969,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39959,c_16497]) ).
tcf(c_39970,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39958,c_16497]) ).
tcf(c_39971,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39949,c_16497]) ).
tcf(c_39972,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39941,c_14297]) ).
tcf(c_39973,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39939,c_14297]) ).
tcf(c_39977,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(sdtmndt0(X0,xx),iPr_def_10))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39921,c_87]) ).
tcf(c_39986,plain,
! [X0: $i,X1: $i] :
( ( X1 = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(X0,iPr_def_10))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39915,c_87]) ).
tcf(c_39991,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(light_normalisation,[status(thm)],[c_39957,c_16497]) ).
tcf(c_39992,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39956,c_16497]) ).
tcf(c_39993,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39955,c_16497]) ).
tcf(c_39994,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39954,c_16497]) ).
tcf(c_39995,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39953,c_16497]) ).
tcf(c_39996,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39952,c_16497]) ).
tcf(c_39997,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39951,c_16497]) ).
tcf(c_39998,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39950,c_16497]) ).
tcf(c_39999,plain,
! [X0: $i] :
( aElementOf0(xx,xS)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39948,c_16497]) ).
tcf(c_40000,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39947,c_16497]) ).
tcf(c_40001,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39946,c_16497]) ).
tcf(c_40002,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39945,c_16497]) ).
tcf(c_40003,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39938,c_14297]) ).
tcf(c_40004,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39937,c_14297]) ).
tcf(c_40005,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39936,c_14297]) ).
tcf(c_40006,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39935,c_14297]) ).
tcf(c_40007,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39934,c_14297]) ).
tcf(c_40008,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39933,c_14297]) ).
tcf(c_40009,plain,
! [X0: $i,X1: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_39932,c_14297]) ).
tcf(c_40010,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39944,c_16497]) ).
tcf(c_40011,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = sK7(iPr_def_11,iPr_def_11,xx) )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_39943,c_16497]) ).
tcf(c_40041,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_17497,c_8416]) ).
tcf(c_40042,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17497,c_111]) ).
tcf(c_40043,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_17497,c_109]) ).
tcf(c_40050,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_17497,c_20274]) ).
tcf(c_40076,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17650,c_10821]) ).
tcf(c_40078,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| aElementOf0(sK7(iPr_def_10,slcrc0,X1),X0)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_17650,c_57]) ).
tcf(c_40079,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_10,slcrc0,X0)),sK7(iPr_def_10,slcrc0,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17650,c_86]) ).
tcf(c_40081,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_17650,c_38090]) ).
tcf(c_40082,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_17650,c_12234]) ).
tcf(c_40100,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40076,c_5539]) ).
tcf(c_40104,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_10,slcrc0,X0)),sK7(iPr_def_10,slcrc0,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40079,c_5539]) ).
tcf(c_40135,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17854,c_10821]) ).
tcf(c_40137,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| aElementOf0(sK7(iPr_def_10,iPr_def_10,X1),X0)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_17854,c_57]) ).
tcf(c_40138,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)),sK7(iPr_def_10,iPr_def_10,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_17854,c_86]) ).
tcf(c_40140,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK7(iPr_def_10,iPr_def_10,X0) = X0 )
| ~ aSet0(iPr_def_10)
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_17854,c_158]) ).
tcf(c_40141,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_17854,c_38090]) ).
tcf(c_40142,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_17854,c_12234]) ).
tcf(c_40163,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_10,iPr_def_10,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40135,c_5539]) ).
tcf(c_40167,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK7(iPr_def_10,iPr_def_10,X0) = X0 )
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_10,X0),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40140,c_5539]) ).
tcf(c_40172,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)),sK7(iPr_def_10,iPr_def_10,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40138,c_5539]) ).
tcf(c_40208,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18394,c_8416]) ).
tcf(c_40209,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_18394,c_111]) ).
tcf(c_40210,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_18394,c_109]) ).
tcf(c_40217,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_18394,c_20274]) ).
tcf(c_40267,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) = sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_38132]) ).
tcf(c_40268,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10))) = sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10)) )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_38132]) ).
tcf(c_40269,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_10,X1)
| aElementOf0(sK6(X0,iPr_def_10,X1),X0)
| ( sK6(X0,iPr_def_10,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(X0,iPr_def_10,X1))) = sK7(iPr_def_10,iPr_def_11,sK6(X0,iPr_def_10,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_38132]) ).
tcf(c_40270,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_67,c_38132]) ).
tcf(c_40271,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_10,X1)
| aElementOf0(sK7(X0,iPr_def_10,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(X0,iPr_def_10,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(X0,iPr_def_10,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_38132]) ).
tcf(c_40272,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,X0,X1)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_78,c_38132]) ).
tcf(c_40275,plain,
sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx)) = sK7(iPr_def_10,iPr_def_11,xx),
inference(superposition,[status(thm)],[c_5540,c_38132]) ).
tcf(c_40276,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(X0))) = sK7(iPr_def_10,iPr_def_11,sK4(X0)) )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20234,c_38132]) ).
tcf(c_40277,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(xS))) = sK7(iPr_def_10,iPr_def_11,sK4(xS)) ) ),
inference(superposition,[status(thm)],[c_15309,c_38132]) ).
tcf(c_40278,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,xS))) = sK7(iPr_def_10,iPr_def_11,sK5(X0,xS)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20815,c_38132]) ).
tcf(c_40279,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5805,c_38132]) ).
tcf(c_40280,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_5821,c_38132]) ).
tcf(c_40283,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(xS,X0,X1)) ) ),
inference(superposition,[status(thm)],[c_20840,c_38132]) ).
tcf(c_40284,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_5816,c_38132]) ).
tcf(c_40285,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1)) )
| ~ aSet0(iPr_def_10)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_5922,c_38132]) ).
tcf(c_40286,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,xS,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_10916,c_38132]) ).
tcf(c_40289,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11))) = sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_6130,c_38132]) ).
tcf(c_40290,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_11))) = sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_11)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6133,c_38132]) ).
tcf(c_40291,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,X0,X1)) ) ),
inference(superposition,[status(thm)],[c_6137,c_38132]) ).
tcf(c_40292,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6127,c_38132]) ).
tcf(c_40293,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_10,X0)
| ( sK6(slcrc0,iPr_def_10,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK6(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6224,c_38132]) ).
tcf(c_40298,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(xS,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_20812,c_38132]) ).
tcf(c_40299,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6766,c_38132]) ).
tcf(c_40300,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,xS,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(xS,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20809,c_38132]) ).
tcf(c_40301,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6841,c_38132]) ).
tcf(c_40304,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) = sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_7103,c_38132]) ).
tcf(c_40305,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20788,c_38132]) ).
tcf(c_40306,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_11,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_7827,c_38132]) ).
tcf(c_40308,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20836,c_38132]) ).
tcf(c_40309,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8444,c_38132]) ).
tcf(c_40311,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10))) = sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16380,c_38132]) ).
tcf(c_40312,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_11,sK6(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_14509,c_38132]) ).
tcf(c_40313,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_17650,c_38132]) ).
tcf(c_40314,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_17854,c_38132]) ).
tcf(c_40315,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(X0))) = sK7(iPr_def_10,iPr_def_11,sK4(X0)) )
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20825,c_38132]) ).
tcf(c_40316,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(X0))) = sK7(iPr_def_10,iPr_def_11,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20289,c_38132]) ).
tcf(c_40320,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(xS,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_21532,c_38132]) ).
tcf(c_40321,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(xS,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_21530,c_38132]) ).
tcf(c_40328,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10))) = sK7(iPr_def_10,iPr_def_11,sK4(iPr_def_10)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40267,c_5539]) ).
tcf(c_40368,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40284,c_5539]) ).
tcf(c_40371,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40279,c_5539]) ).
tcf(c_40374,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK4(X0))) = sK7(iPr_def_10,iPr_def_11,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40276,c_5539]) ).
tcf(c_40378,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10))) = sK7(iPr_def_10,iPr_def_11,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40268,c_5539]) ).
tcf(c_40410,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40285,c_5539]) ).
tcf(c_40414,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,X0,X1)
| aElementOf0(sK7(iPr_def_10,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK7(iPr_def_10,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40272,c_5539]) ).
tcf(c_40422,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_10,X0,X1)
| aElementOf0(sK6(iPr_def_10,X0,X1),X0)
| ( sK6(iPr_def_10,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1))) = sK7(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40270,c_5539]) ).
tcf(c_40668,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) = sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_38424]) ).
tcf(c_40669,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11))) = sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11)) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_38424]) ).
tcf(c_40670,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(X0,iPr_def_11,X1))) = sK7(iPr_def_11,iPr_def_10,sK6(X0,iPr_def_11,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_38424]) ).
tcf(c_40671,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_38424]) ).
tcf(c_40672,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(X0,iPr_def_11,X1))) = sK7(iPr_def_11,iPr_def_10,sK7(X0,iPr_def_11,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_38424]) ).
tcf(c_40673,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_38424]) ).
tcf(c_40674,plain,
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = sK7(iPr_def_11,iPr_def_10,xx) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_38424]) ).
tcf(c_40675,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = sK7(iPr_def_11,iPr_def_10,xx) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_38424]) ).
tcf(c_40676,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(X0))) = sK7(iPr_def_11,iPr_def_10,sK4(X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_38424]) ).
tcf(c_40677,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_38424]) ).
tcf(c_40678,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_5821,c_38424]) ).
tcf(c_40681,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_38424]) ).
tcf(c_40682,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_38424]) ).
tcf(c_40685,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK6(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6224,c_38424]) ).
tcf(c_40688,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))) = sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_6459,c_38424]) ).
tcf(c_40689,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_10))) = sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_38424]) ).
tcf(c_40690,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6453,c_38424]) ).
tcf(c_40691,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) = sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_6454,c_38424]) ).
tcf(c_40692,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11))) = sK7(iPr_def_11,iPr_def_10,sK5(X0,iPr_def_11)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_38424]) ).
tcf(c_40693,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = sK7(iPr_def_11,iPr_def_10,sK4(xS)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_38424]) ).
tcf(c_40694,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = sK7(iPr_def_11,iPr_def_10,sK4(xS)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_38424]) ).
tcf(c_40695,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = sK7(iPr_def_11,iPr_def_10,sK4(xS)) ) ),
inference(superposition,[status(thm)],[c_15326,c_38424]) ).
tcf(c_40696,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6777,c_38424]) ).
tcf(c_40697,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6852,c_38424]) ).
tcf(c_40699,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6911,c_38424]) ).
tcf(c_40701,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6969,c_38424]) ).
tcf(c_40702,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_8046,c_38424]) ).
tcf(c_40703,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_38424]) ).
tcf(c_40704,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_10938,c_38424]) ).
tcf(c_40705,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_38424]) ).
tcf(c_40706,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_38424]) ).
tcf(c_40707,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_38424]) ).
tcf(c_40708,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_38424]) ).
tcf(c_40709,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_38424]) ).
tcf(c_40710,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_38424]) ).
tcf(c_40711,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11))) = sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_11)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40668,c_6058]) ).
tcf(c_40729,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = sK7(iPr_def_11,iPr_def_10,sK4(xS)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40694,c_6058]) ).
tcf(c_40733,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(xS))) = sK7(iPr_def_11,iPr_def_10,sK4(xS)) )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40693,c_6058]) ).
tcf(c_40737,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40681,c_6058]) ).
tcf(c_40740,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40677,c_6058]) ).
tcf(c_40743,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(X0))) = sK7(iPr_def_11,iPr_def_10,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40676,c_6058]) ).
tcf(c_40748,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = sK7(iPr_def_11,iPr_def_10,xx) )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_40674,c_16497]) ).
tcf(c_40753,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40710,c_6058]) ).
tcf(c_40757,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,iPr_def_11,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40709,c_6058]) ).
tcf(c_40761,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40708,c_6058]) ).
tcf(c_40765,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40707,c_6058]) ).
tcf(c_40769,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40706,c_6058]) ).
tcf(c_40773,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40705,c_6058]) ).
tcf(c_40780,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40703,c_6058]) ).
tcf(c_40805,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1))) = sK7(iPr_def_11,iPr_def_10,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40682,c_6058]) ).
tcf(c_40809,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40673,c_6058]) ).
tcf(c_40817,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1))) = sK7(iPr_def_11,iPr_def_10,sK6(iPr_def_11,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40671,c_6058]) ).
tcf(c_40976,plain,
! [X0: $i] :
( sP0(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_38873,c_160]) ).
tcf(c_40977,plain,
! [X0: $i] :
( sP0(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_11,slcrc0,X0),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)),slcrc0) ),
inference(superposition,[status(thm)],[c_38873,c_159]) ).
tcf(c_40978,plain,
! [X0: $i] :
( aElement0(sK7(iPr_def_11,slcrc0,X0))
| sP0(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0))
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_38873,c_155]) ).
tcf(c_40980,plain,
! [X0: $i] :
( aElement0(sK7(iPr_def_11,slcrc0,X0))
| sP0(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0))
| ( slcrc0 = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40978,c_51]) ).
tcf(c_41039,plain,
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx)),slcrc0) ),
inference(superposition,[status(thm)],[c_40275,c_160]) ).
tcf(c_41040,plain,
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_11,xx),slcrc0)
| ~ aElementOf0(sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx)),slcrc0) ),
inference(superposition,[status(thm)],[c_40275,c_159]) ).
tcf(c_41041,plain,
( aElement0(sK7(iPr_def_10,iPr_def_11,xx))
| sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx))
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_40275,c_155]) ).
tcf(c_41043,plain,
( aElement0(sK7(iPr_def_10,iPr_def_11,xx))
| sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41041,c_51]) ).
tcf(c_41046,plain,
( sP0(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,xx))
| ~ aSet0(slcrc0)
| ~ aElementOf0(sK7(iPr_def_10,iPr_def_11,xx),slcrc0) ),
inference(light_normalisation,[status(thm)],[c_41039,c_40275]) ).
tcf(c_41066,plain,
! [X0: $i,X1: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_20248]) ).
tcf(c_41067,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| aElement0(sK7(slcrc0,X0,X2))
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_8416]) ).
tcf(c_41068,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X2)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_18906,c_111]) ).
tcf(c_41069,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X1)) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_18906,c_109]) ).
tcf(c_41077,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_20277]) ).
tcf(c_41078,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_16996]) ).
tcf(c_41079,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_7955]) ).
tcf(c_41081,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_8008]) ).
tcf(c_41105,plain,
! [X0: $i] :
( aSubsetOf0(X0,xS)
| ( sK5(xS,iPr_def_11) = xx )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41078,c_6058]) ).
tcf(c_41128,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| aElement0(sK7(slcrc0,iPr_def_11,X1))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_19459,c_8416]) ).
tcf(c_41129,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19459,c_111]) ).
tcf(c_41130,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19459,c_109]) ).
tcf(c_41137,plain,
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm)],[c_19459,c_20274]) ).
tcf(c_41203,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,iPr_def_11,X2)
| aElement0(sK7(slcrc0,iPr_def_11,X2))
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_19917,c_8416]) ).
tcf(c_41204,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(X0,X1)
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X2,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19917,c_111]) ).
tcf(c_41205,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_19917,c_109]) ).
tcf(c_41237,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(X0,X1,xx)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20132,c_10821]) ).
tcf(c_41238,plain,
! [X0: $i,X1: $i] :
( ( X1 = xx )
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(superposition,[status(thm)],[c_20132,c_8634]) ).
tcf(c_41239,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X1)
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_20132,c_57]) ).
tcf(c_41240,plain,
! [X0: $i] :
( ( sdtpldt0(sdtmndt0(X0,xx),xx) = X0 )
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20132,c_86]) ).
tcf(c_41243,plain,
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_89]) ).
tcf(c_41244,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(sdtmndt0(X0,xx),iPr_def_10)) = sK5(sdtmndt0(X0,xx),iPr_def_10) )
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,xx)) ),
inference(superposition,[status(thm)],[c_20132,c_6019]) ).
tcf(c_41245,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sK6(slcrc0,slcrc0,sK5(sdtmndt0(X0,X1),iPr_def_10)) = sK5(sdtmndt0(X0,X1),iPr_def_10) )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtmndt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_20132,c_6017]) ).
tcf(c_41252,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_10,iPr_def_10)) = sK5(iPr_def_10,iPr_def_10) )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20132,c_9315]) ).
tcf(c_41256,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_33681]) ).
tcf(c_41257,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_33653]) ).
tcf(c_41258,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_26094]) ).
tcf(c_41259,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_26047]) ).
tcf(c_41260,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_26030]) ).
tcf(c_41261,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,xx))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_26002]) ).
tcf(c_41262,plain,
! [X0: $i,X1: $i] :
( aElementOf0(xx,X0)
| ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_25648]) ).
tcf(c_41263,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(xS,X0,xx)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_25650]) ).
tcf(c_41265,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_22547]) ).
tcf(c_41267,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = sK7(iPr_def_11,iPr_def_10,xx) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_38424]) ).
tcf(c_41268,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = sK7(iPr_def_11,iPr_def_11,xx) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_38111]) ).
tcf(c_41269,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_38073]) ).
tcf(c_41270,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_27031]) ).
tcf(c_41271,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_26990]) ).
tcf(c_41272,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_25957]) ).
tcf(c_41273,plain,
! [X0: $i] :
( aElementOf0(xx,xS)
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_22322]) ).
tcf(c_41274,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_22324]) ).
tcf(c_41275,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_13009]) ).
tcf(c_41276,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_12981]) ).
tcf(c_41277,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_12952]) ).
tcf(c_41278,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_12915]) ).
tcf(c_41279,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_12887]) ).
tcf(c_41280,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_12372]) ).
tcf(c_41281,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,xx))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_12309]) ).
tcf(c_41282,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,xx)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_20132,c_11250]) ).
tcf(c_41283,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_9413]) ).
tcf(c_41284,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_9362]) ).
tcf(c_41288,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_6057]) ).
tcf(c_41307,plain,
! [X0: $i,X1: $i] :
( ( X1 = xx )
| ( sK6(slcrc0,slcrc0,sK5(X0,iPr_def_10)) = sK5(X0,iPr_def_10) )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,slcrc0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41238,c_87]) ).
tcf(c_41331,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(sdtmndt0(X0,xx),iPr_def_10)) = sK5(sdtmndt0(X0,xx),iPr_def_10) )
| ~ aSet0(X0)
| ~ aSet0(sdtmndt0(X0,xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41244,c_87]) ).
tcf(c_41351,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_18906,c_20298]) ).
tcf(c_41352,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_8647,c_20298]) ).
tcf(c_41355,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14773,c_20298]) ).
tcf(c_41356,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_9569,c_20298]) ).
tcf(c_41357,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8649,c_20298]) ).
tcf(c_41362,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_19917,c_20298]) ).
tcf(c_41365,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(iPr_def_11,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_16539,c_20298]) ).
tcf(c_41366,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_11)) = sK5(iPr_def_11,iPr_def_11) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_14781,c_20298]) ).
tcf(c_41367,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(iPr_def_11,iPr_def_11))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_11457,c_20298]) ).
tcf(c_41369,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8654,c_20298]) ).
tcf(c_41370,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_8992,c_20298]) ).
tcf(c_41372,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_11)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41369,c_6058]) ).
tcf(c_41377,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41370,c_6058]) ).
tcf(c_41381,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(iPr_def_11,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41367,c_6058]) ).
tcf(c_41385,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_11)) = sK5(iPr_def_11,iPr_def_11) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41366,c_6058]) ).
tcf(c_41389,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK5(iPr_def_11,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41365,c_6058]) ).
tcf(c_41393,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK5(slcrc0,iPr_def_11))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41362,c_6058]) ).
tcf(c_41397,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_41356,c_16497]) ).
tcf(c_41399,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41352,c_6058]) ).
tcf(c_41404,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sdtmndt0(slcrc0,sK5(slcrc0,X0)) = slcrc0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41351,c_6058]) ).
tcf(c_41536,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_10821]) ).
tcf(c_41537,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK4(X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aSubsetOf0(X0,iPr_def_10)
| ~ aElement0(sK4(X0)) ),
inference(superposition,[status(thm)],[c_20302,c_8634]) ).
tcf(c_41538,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSet0(X1)
| ~ aSubsetOf0(xS,X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_57]) ).
tcf(c_41539,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK4(X0)),sK4(X0)) = xS )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_86]) ).
tcf(c_41540,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_49]) ).
tcf(c_41541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_33681]) ).
tcf(c_41542,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_33653]) ).
tcf(c_41543,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_26094]) ).
tcf(c_41544,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_26047]) ).
tcf(c_41545,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_26030]) ).
tcf(c_41546,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(xS,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_26002]) ).
tcf(c_41547,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,X2)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_25648]) ).
tcf(c_41548,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X1,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_25650]) ).
tcf(c_41549,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_24306]) ).
tcf(c_41550,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_22547]) ).
tcf(c_41551,plain,
! [X0: $i] :
( aElementOf0(sK4(X0),iPr_def_10)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_20619]) ).
tcf(c_41604,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK4(X0)),sK4(X0)) = xS )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41539,c_88]) ).
tcf(c_41664,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK4(X0))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_10821]) ).
tcf(c_41665,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK4(X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aSubsetOf0(X0,iPr_def_10)
| ~ aElement0(sK4(X0)) ),
inference(superposition,[status(thm)],[c_20307,c_8634]) ).
tcf(c_41666,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),X1)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSet0(X1)
| ~ aSubsetOf0(iPr_def_11,X1)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_57]) ).
tcf(c_41667,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(X0)),sK4(X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_86]) ).
tcf(c_41668,plain,
! [X0: $i] :
( aElement0(sK4(X0))
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_49]) ).
tcf(c_41669,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK4(X0))) = sK7(iPr_def_11,iPr_def_10,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_38424]) ).
tcf(c_41670,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK4(X0))) = sK7(iPr_def_11,iPr_def_11,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_38111]) ).
tcf(c_41671,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_38073]) ).
tcf(c_41672,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_27031]) ).
tcf(c_41673,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_26990]) ).
tcf(c_41674,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_25957]) ).
tcf(c_41675,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sK4(X0),xS)
| ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_22322]) ).
tcf(c_41677,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_13009]) ).
tcf(c_41678,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_12981]) ).
tcf(c_41679,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_12952]) ).
tcf(c_41680,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_12915]) ).
tcf(c_41681,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_12887]) ).
tcf(c_41682,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_12372]) ).
tcf(c_41683,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK4(X0)))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_12309]) ).
tcf(c_41687,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_8875]) ).
tcf(c_41767,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK4(X0)),sK4(X0)) = iPr_def_11 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41667,c_6058]) ).
tcf(c_41778,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK4(X0))) = slcrc0 )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41664,c_6058]) ).
tcf(c_41913,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(slcrc0,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20790,c_10821]) ).
tcf(c_41915,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| aElementOf0(sK6(slcrc0,xS,X1),X0)
| ( sK6(slcrc0,xS,X1) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_20790,c_57]) ).
tcf(c_41916,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK6(slcrc0,xS,X0)),sK6(slcrc0,xS,X0)) = iPr_def_10 )
| ~ aSet0(iPr_def_10) ),
inference(superposition,[status(thm)],[c_20790,c_86]) ).
tcf(c_41918,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_11,sK6(slcrc0,xS,X0))) = sK7(iPr_def_10,iPr_def_11,sK6(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20790,c_38132]) ).
tcf(c_41919,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,xS,X0))) = sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20790,c_38090]) ).
tcf(c_41920,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK7(iPr_def_10,iPr_def_10,sK6(slcrc0,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20790,c_12234]) ).
tcf(c_41923,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| aElementOf0(sK6(slcrc0,xS,X0),iPr_def_11)
| ( sK6(slcrc0,xS,X0) = xx )
| ( sK6(slcrc0,xS,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20790,c_6071]) ).
tcf(c_41924,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| aElementOf0(sK6(slcrc0,xS,X0),xS)
| ( sK6(slcrc0,xS,X0) = xx )
| ( sK6(slcrc0,xS,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20790,c_5778]) ).
tcf(c_41949,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK6(slcrc0,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41913,c_5539]) ).
tcf(c_41953,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sdtpldt0(sdtmndt0(iPr_def_10,sK6(slcrc0,xS,X0)),sK6(slcrc0,xS,X0)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41916,c_5539]) ).
tcf(c_42034,plain,
! [X0: $i,X1: $i] :
( aElement0(X1)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElementOf0(X1,slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_13741,c_6018]) ).
tcf(c_42035,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))))
| ~ aElementOf0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))),slcrc0) ),
inference(superposition,[status(thm)],[c_13741,c_6019]) ).
tcf(c_42037,plain,
! [X0: $i] :
( sP2(slcrc0,slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10))))
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(slcrc0)
| ~ aElement0(sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK4(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_13741,c_652]) ).
tcf(c_42048,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X1,X2)
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18906,c_5727]) ).
tcf(c_42049,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X1,X2)
| ( sdtmndt0(slcrc0,sK5(X2,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X2)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_8647,c_5727]) ).
tcf(c_42050,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_59,c_5727]) ).
tcf(c_42051,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(xS)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18884,c_5727]) ).
tcf(c_42052,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18892,c_5727]) ).
tcf(c_42053,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18888,c_5727]) ).
tcf(c_42054,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_10)
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_18880,c_5727]) ).
tcf(c_42055,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ~ aSet0(xS)
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8001,c_5727]) ).
tcf(c_42057,plain,
! [X0: $i] :
( aElementOf0(xx,X0)
| ~ aSet0(iPr_def_11)
| ~ aElement0(xx)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_5632,c_5727]) ).
tcf(c_42058,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_6399,c_5727]) ).
tcf(c_42060,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_10))
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7040,c_5727]) ).
tcf(c_42061,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(sdtmndt0(xS,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_7060,c_5727]) ).
tcf(c_42062,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_11),X0)
| ( slcrc0 = iPr_def_11 )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_11))
| ~ aSubsetOf0(iPr_def_11,X0)
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_11))) ),
inference(superposition,[status(thm)],[c_8347,c_5727]) ).
tcf(c_42063,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_10))
| ~ aSubsetOf0(iPr_def_11,X0)
| ~ aSet0(sdtmndt0(iPr_def_11,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_7113,c_5727]) ).
tcf(c_42064,plain,
! [X0: $i] :
( aElementOf0(sK4(iPr_def_10),X0)
| ( slcrc0 = iPr_def_10 )
| ~ aSet0(X0)
| ~ aElement0(sK4(iPr_def_10))
| ~ aSubsetOf0(iPr_def_10,X0)
| ~ aSet0(sdtmndt0(iPr_def_10,sK4(iPr_def_10))) ),
inference(superposition,[status(thm)],[c_8346,c_5727]) ).
tcf(c_42065,plain,
! [X0: $i] :
( aElementOf0(sK4(xS),X0)
| ( slcrc0 = xS )
| ~ aSet0(X0)
| ~ aElement0(sK4(xS))
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(sdtmndt0(xS,sK4(xS))) ),
inference(superposition,[status(thm)],[c_8343,c_5727]) ).
tcf(c_42096,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42054,c_5539]) ).
tcf(c_42102,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(xS,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42053,c_5539]) ).
tcf(c_42108,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,iPr_def_10)
| ( sdtmndt0(slcrc0,sK5(iPr_def_11,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42052,c_5539]) ).
tcf(c_42114,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X1,xS)
| ( sdtmndt0(slcrc0,sK5(slcrc0,sdtpldt0(X0,X1))) = slcrc0 )
| ~ aSet0(X0)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42051,c_88]) ).
tcf(c_42197,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20954,c_10821]) ).
tcf(c_42198,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK7(iPr_def_11,xS,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_20954,c_8634]) ).
tcf(c_42199,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),X0)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_20954,c_57]) ).
tcf(c_42200,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20954,c_86]) ).
tcf(c_42202,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20954,c_38424]) ).
tcf(c_42203,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20954,c_38111]) ).
tcf(c_42204,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_20954,c_38073]) ).
tcf(c_42205,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_27031]) ).
tcf(c_42206,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_26990]) ).
tcf(c_42207,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_25957]) ).
tcf(c_42208,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),xS)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_22322]) ).
tcf(c_42210,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sK7(iPr_def_11,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_13009]) ).
tcf(c_42211,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_12981]) ).
tcf(c_42212,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_12952]) ).
tcf(c_42213,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_12915]) ).
tcf(c_42214,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_12887]) ).
tcf(c_42215,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_12372]) ).
tcf(c_42216,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_12309]) ).
tcf(c_42220,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20954,c_8875]) ).
tcf(c_42281,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42197,c_6058]) ).
tcf(c_42285,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42200,c_6058]) ).
tcf(c_42404,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK7(iPr_def_11,xS,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(iPr_def_11,xS,X0)) ),
inference(superposition,[status(thm)],[c_20955,c_8634]) ).
tcf(c_42405,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),X0)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_20955,c_57]) ).
tcf(c_42406,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20955,c_86]) ).
tcf(c_42408,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK7(iPr_def_11,xS,X0) = X0 )
| ~ aSet0(iPr_def_11)
| ~ aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_20955,c_158]) ).
tcf(c_42409,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sK7(iPr_def_11,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_33681]) ).
tcf(c_42410,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_33653]) ).
tcf(c_42411,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_26094]) ).
tcf(c_42412,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_26047]) ).
tcf(c_42413,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| ( sK7(iPr_def_11,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_26030]) ).
tcf(c_42414,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(iPr_def_11,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_26002]) ).
tcf(c_42415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(iPr_def_11,xS,X2)
| aElementOf0(sK7(iPr_def_11,xS,X2),X0)
| ( sK7(iPr_def_11,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_25648]) ).
tcf(c_42416,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(iPr_def_11,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_25650]) ).
tcf(c_42418,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_20955,c_22547]) ).
tcf(c_42453,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK7(iPr_def_11,xS,X0) = X0 )
| ~ aElementOf0(sK7(iPr_def_11,xS,X0),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42408,c_6058]) ).
tcf(c_42458,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(iPr_def_11,xS,X0)),sK7(iPr_def_11,xS,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42406,c_88]) ).
tcf(c_42518,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X0)) = sK7(iPr_def_11,xS,X0) )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21021,c_664]) ).
tcf(c_42519,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,iPr_def_11)
| ( X0 = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X1)) = sK7(iPr_def_11,xS,X1) )
| ~ aElement0(X0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21021,c_81]) ).
tcf(c_42520,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,xS)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X1)) = sK7(iPr_def_11,xS,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21021,c_83]) ).
tcf(c_42521,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X1)) = sK7(iPr_def_11,xS,X1) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21021,c_82]) ).
tcf(c_42522,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X0)) = sK7(iPr_def_11,xS,X0) )
| ~ aElementOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21021,c_84]) ).
tcf(c_42532,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,X0)) = sK7(iPr_def_11,xS,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42518,c_88]) ).
tcf(c_42570,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,xS,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_21053,c_10821]) ).
tcf(c_42571,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK7(xS,xS,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_21053,c_8634]) ).
tcf(c_42572,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),X0)
| ( sK7(xS,xS,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_21053,c_57]) ).
tcf(c_42573,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_21053,c_86]) ).
tcf(c_42575,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_21053,c_38424]) ).
tcf(c_42576,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_21053,c_38111]) ).
tcf(c_42577,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_21053,c_38073]) ).
tcf(c_42578,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_27031]) ).
tcf(c_42579,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_26990]) ).
tcf(c_42580,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_25957]) ).
tcf(c_42581,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),xS)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_22322]) ).
tcf(c_42583,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sK7(xS,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_13009]) ).
tcf(c_42584,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_12981]) ).
tcf(c_42585,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_12952]) ).
tcf(c_42586,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_12915]) ).
tcf(c_42587,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_12887]) ).
tcf(c_42588,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_12372]) ).
tcf(c_42589,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,xS,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_12309]) ).
tcf(c_42593,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21053,c_8875]) ).
tcf(c_42595,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| aElement0(sK7(xS,xS,X0))
| ( sK7(xS,xS,X0) = xx ) ),
inference(superposition,[status(thm)],[c_21053,c_6056]) ).
tcf(c_42657,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,xS,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42570,c_6058]) ).
tcf(c_42661,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42573,c_6058]) ).
tcf(c_42880,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK7(xS,xS,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(xS,xS,X0)) ),
inference(superposition,[status(thm)],[c_21054,c_8634]) ).
tcf(c_42881,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),X0)
| ( sK7(xS,xS,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_21054,c_57]) ).
tcf(c_42882,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_21054,c_86]) ).
tcf(c_42884,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK7(xS,xS,X0) = X0 )
| ~ aSet0(xS)
| ~ aElementOf0(sK7(xS,xS,X0),xS) ),
inference(superposition,[status(thm)],[c_21054,c_158]) ).
tcf(c_42885,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sK7(xS,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_33681]) ).
tcf(c_42886,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_33653]) ).
tcf(c_42887,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_26094]) ).
tcf(c_42888,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_26047]) ).
tcf(c_42889,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| ( sK7(xS,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_26030]) ).
tcf(c_42890,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,xS,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_26002]) ).
tcf(c_42891,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,xS,X2)
| aElementOf0(sK7(xS,xS,X2),X0)
| ( sK7(xS,xS,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_25648]) ).
tcf(c_42892,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_25650]) ).
tcf(c_42894,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21054,c_22547]) ).
tcf(c_42929,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK7(xS,xS,X0) = X0 )
| ~ aElementOf0(sK7(xS,xS,X0),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42884,c_88]) ).
tcf(c_42934,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(xS,xS,X0)),sK7(xS,xS,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42882,c_88]) ).
tcf(c_43007,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,X0)) = sK7(xS,xS,X0) )
| ~ aSet0(xS)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21111,c_664]) ).
tcf(c_43010,plain,
! [X0: $i,X1: $i] :
( aElement0(X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,X1)) = sK7(xS,xS,X1) )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21111,c_82]) ).
tcf(c_43011,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(xS,xS,X0)) = sK7(xS,xS,X0) )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21111,c_84]) ).
tcf(c_43018,plain,
! [X0: $i] :
( ( sdtmndt0(xS,X0) = xS )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,X0)) = sK7(xS,xS,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43007,c_88]) ).
tcf(c_43030,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_21180,c_10821]) ).
tcf(c_43031,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sK7(xS,slcrc0,X0) = X1 )
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_21180,c_8634]) ).
tcf(c_43032,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),X0)
| ( sK7(xS,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_21180,c_57]) ).
tcf(c_43033,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = iPr_def_11 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_21180,c_86]) ).
tcf(c_43035,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_21180,c_38424]) ).
tcf(c_43036,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_21180,c_38111]) ).
tcf(c_43037,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X0)) = sK7(iPr_def_11,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_21180,c_38073]) ).
tcf(c_43038,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_27031]) ).
tcf(c_43039,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_26990]) ).
tcf(c_43040,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_25957]) ).
tcf(c_43041,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),xS)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_22322]) ).
tcf(c_43043,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sK7(xS,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_13009]) ).
tcf(c_43044,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_12981]) ).
tcf(c_43045,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(iPr_def_11,iPr_def_10,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_12952]) ).
tcf(c_43046,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_12915]) ).
tcf(c_43047,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_12887]) ).
tcf(c_43048,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X0))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_12372]) ).
tcf(c_43049,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK7(xS,slcrc0,X0)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_12309]) ).
tcf(c_43053,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21180,c_8875]) ).
tcf(c_43055,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| aElement0(sK7(xS,slcrc0,X0))
| ( sK7(xS,slcrc0,X0) = xx ) ),
inference(superposition,[status(thm)],[c_21180,c_6056]) ).
tcf(c_43117,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43030,c_6058]) ).
tcf(c_43121,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43033,c_6058]) ).
tcf(c_43221,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_21181,c_10821]) ).
tcf(c_43222,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sK7(xS,slcrc0,X0) = X1 )
| ~ aSubsetOf0(xS,slcrc0)
| ~ aElement0(sK7(xS,slcrc0,X0)) ),
inference(superposition,[status(thm)],[c_21181,c_8634]) ).
tcf(c_43223,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| aElementOf0(sK7(xS,slcrc0,X1),X0)
| ( sK7(xS,slcrc0,X1) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_21181,c_57]) ).
tcf(c_43224,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = xS )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_21181,c_86]) ).
tcf(c_43226,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sK7(xS,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_33681]) ).
tcf(c_43227,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,sK7(xS,xS,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_33653]) ).
tcf(c_43228,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_10,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_26094]) ).
tcf(c_43229,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,iPr_def_11,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_26047]) ).
tcf(c_43230,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| ( sK7(xS,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,slcrc0,X1))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_26030]) ).
tcf(c_43231,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X0,sK7(xS,xS,sK7(xS,slcrc0,X1)))) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_26002]) ).
tcf(c_43232,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,slcrc0,X2)
| aElementOf0(sK7(xS,slcrc0,X2),X0)
| ( sK7(xS,slcrc0,X2) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,X0,X1)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_25648]) ).
tcf(c_43235,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sdtmndt0(slcrc0,sK7(xS,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_21181,c_22547]) ).
tcf(c_43271,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sdtpldt0(sdtmndt0(xS,sK7(xS,slcrc0,X0)),sK7(xS,slcrc0,X0)) = xS ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43224,c_88]) ).
tcf(c_43343,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(slcrc0)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_21236,c_664]) ).
tcf(c_43345,plain,
! [X0: $i,X1: $i] :
( aElementOf0(X0,slcrc0)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_21236,c_83]) ).
tcf(c_43354,plain,
! [X0: $i,X1: $i] :
( ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43345,c_52]) ).
tcf(c_43357,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,X0) = xS )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43343,c_51]) ).
tcf(c_43371,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_10821]) ).
tcf(c_43372,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sK5(X0,xS) = X1 )
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,slcrc0)
| ~ aElement0(sK5(X0,xS)) ),
inference(superposition,[status(thm)],[c_21312,c_8634]) ).
tcf(c_43373,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X1)
| aElementOf0(sK5(X1,xS),X0)
| ( sK5(X1,xS) = xx )
| ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_21312,c_57]) ).
tcf(c_43374,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK5(X0,xS)),sK5(X0,xS)) = iPr_def_11 )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_86]) ).
tcf(c_43375,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ( sK5(X0,xS) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_49]) ).
tcf(c_43376,plain,
( aSubsetOf0(xS,iPr_def_11)
| ( sK5(iPr_def_11,xS) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_21312,c_54]) ).
tcf(c_43377,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_10,sK5(X0,xS))) = sK7(iPr_def_11,iPr_def_10,sK5(X0,xS)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_38424]) ).
tcf(c_43378,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,iPr_def_11,sK5(X0,xS))) = sK7(iPr_def_11,iPr_def_11,sK5(X0,xS)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_38111]) ).
tcf(c_43379,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,slcrc0,X1)) = sK7(iPr_def_11,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_38073]) ).
tcf(c_43380,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_27031]) ).
tcf(c_43381,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_26990]) ).
tcf(c_43382,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,xS,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_25957]) ).
tcf(c_43383,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),xS)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_22322]) ).
tcf(c_43385,plain,
! [X0: $i,X1: $i,X2: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,slcrc0,X2))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_13009]) ).
tcf(c_43386,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_11,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_12981]) ).
tcf(c_43387,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,X1,sK7(iPr_def_11,iPr_def_10,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_12952]) ).
tcf(c_43388,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_12915]) ).
tcf(c_43389,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_10,sK7(iPr_def_11,iPr_def_11,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_12887]) ).
tcf(c_43390,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,slcrc0,X1))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_12372]) ).
tcf(c_43391,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,iPr_def_11,sK7(iPr_def_11,iPr_def_11,sK5(X0,xS)))) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_12309]) ).
tcf(c_43395,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X1)) = slcrc0 )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_8875]) ).
tcf(c_43396,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElementOf0(sK5(X0,xS),iPr_def_10)
| ( sK5(X0,xS) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_6055]) ).
tcf(c_43397,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| aElement0(sK5(X0,xS))
| ( sK5(X0,xS) = xx )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_6056]) ).
tcf(c_43398,plain,
( aSubsetOf0(xS,iPr_def_11)
| ( sK5(iPr_def_11,xS) = xx ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43376,c_6058,c_88]) ).
tcf(c_43486,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,X1,sK5(X0,xS))) = slcrc0 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43371,c_6058]) ).
tcf(c_43491,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sdtpldt0(sdtmndt0(iPr_def_11,sK5(X0,xS)),sK5(X0,xS)) = iPr_def_11 )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43374,c_6058]) ).
tcf(c_43648,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_11)
| ( sK5(iPr_def_11,xS) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_43398,c_111]) ).
tcf(c_43649,plain,
( ( xS = iPr_def_11 )
| ( sK5(iPr_def_11,xS) = xx )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_11,xS) ),
inference(superposition,[status(thm)],[c_43398,c_109]) ).
tcf(c_43651,plain,
! [X0: $i] :
( ( sK5(iPr_def_11,xS) = xx )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,slcrc0,X0)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_43398,c_38472]) ).
tcf(c_43652,plain,
( ( sK5(iPr_def_11,xS) = xx )
| ( sdtmndt0(slcrc0,sK5(slcrc0,iPr_def_11)) = slcrc0 ) ),
inference(superposition,[status(thm)],[c_43398,c_17148]) ).
tcf(c_43653,plain,
( ( sK5(iPr_def_11,xS) = xx )
| ( sK5(xS,iPr_def_11) = xx ) ),
inference(superposition,[status(thm)],[c_43398,c_17003]) ).
tcf(c_43664,plain,
( ( xS = iPr_def_11 )
| ( sK5(iPr_def_11,xS) = xx )
| ~ aSubsetOf0(iPr_def_11,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43649,c_6058]) ).
tcf(c_43668,plain,
! [X0: $i] :
( aSubsetOf0(X0,iPr_def_11)
| ( sK5(iPr_def_11,xS) = xx )
| ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43648,c_6058]) ).
tcf(c_43689,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_11))) = sK7(iPr_def_11,xS,sK4(iPr_def_11)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_42522]) ).
tcf(c_43690,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK5(X0,iPr_def_11))) = sK7(iPr_def_11,xS,sK5(X0,iPr_def_11)) )
| ~ aSet0(iPr_def_11)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_42522]) ).
tcf(c_43691,plain,
! [X0: $i,X1: $i] :
( sP0(X0,iPr_def_11,X1)
| aElementOf0(sK6(X0,iPr_def_11,X1),X0)
| ( sK6(X0,iPr_def_11,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK6(X0,iPr_def_11,X1))) = sK7(iPr_def_11,xS,sK6(X0,iPr_def_11,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_42522]) ).
tcf(c_43692,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK6(iPr_def_11,X0,X1))) = sK7(iPr_def_11,xS,sK6(iPr_def_11,X0,X1)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_67,c_42522]) ).
tcf(c_43693,plain,
! [X0: $i,X1: $i] :
( sP2(X0,iPr_def_11,X1)
| aElementOf0(sK7(X0,iPr_def_11,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(X0,iPr_def_11,X1))) = sK7(iPr_def_11,xS,sK7(X0,iPr_def_11,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_42522]) ).
tcf(c_43694,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,X0,X1)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_78,c_42522]) ).
tcf(c_43695,plain,
( ( sK6(slcrc0,slcrc0,sK5(iPr_def_11,iPr_def_10)) = sK5(iPr_def_11,iPr_def_10) )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,xx)) = sK7(iPr_def_11,xS,xx) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_20132,c_42522]) ).
tcf(c_43696,plain,
( ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,xx)) = sK7(iPr_def_11,xS,xx) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(iPr_def_11,iPr_def_10))) = slcrc0 )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17392,c_42522]) ).
tcf(c_43697,plain,
( ( sdtmndt0(slcrc0,sK5(iPr_def_11,iPr_def_10)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,xx)) = sK7(iPr_def_11,xS,xx) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_10332,c_42522]) ).
tcf(c_43698,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(X0))) = sK7(iPr_def_11,xS,sK4(X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20234,c_42522]) ).
tcf(c_43699,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5805,c_42522]) ).
tcf(c_43700,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_5821,c_42522]) ).
tcf(c_43703,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0)) )
| ~ aSet0(iPr_def_11) ),
inference(superposition,[status(thm)],[c_5816,c_42522]) ).
tcf(c_43704,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,X0,X1))) = sK7(iPr_def_11,xS,sK7(slcrc0,X0,X1)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_5922,c_42522]) ).
tcf(c_43707,plain,
! [X0: $i] :
( sP0(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,iPr_def_11,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK6(slcrc0,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK6(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6224,c_42522]) ).
tcf(c_43710,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_10))) = sK7(iPr_def_11,xS,sK4(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_6459,c_42522]) ).
tcf(c_43711,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK5(X0,iPr_def_10))) = sK7(iPr_def_11,xS,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6469,c_42522]) ).
tcf(c_43712,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6453,c_42522]) ).
tcf(c_43713,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_11))) = sK7(iPr_def_11,xS,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_6454,c_42522]) ).
tcf(c_43714,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK5(X0,iPr_def_11))) = sK7(iPr_def_11,xS,sK5(X0,iPr_def_11)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_16505,c_42522]) ).
tcf(c_43715,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = sK7(iPr_def_11,xS,sK4(xS)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15532,c_42522]) ).
tcf(c_43716,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = sK7(iPr_def_11,xS,sK4(xS)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_15320,c_42522]) ).
tcf(c_43717,plain,
( ( slcrc0 = xS )
| ( sK4(xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = sK7(iPr_def_11,xS,sK4(xS)) ) ),
inference(superposition,[status(thm)],[c_15326,c_42522]) ).
tcf(c_43718,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_10,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6777,c_42522]) ).
tcf(c_43719,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6852,c_42522]) ).
tcf(c_43721,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6911,c_42522]) ).
tcf(c_43723,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6969,c_42522]) ).
tcf(c_43724,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_8046,c_42522]) ).
tcf(c_43725,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK5(X0,xS) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK5(X0,xS))) = sK7(iPr_def_11,xS,sK5(X0,xS)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_21312,c_42522]) ).
tcf(c_43726,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8042,c_42522]) ).
tcf(c_43727,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK7(slcrc0,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_10938,c_42522]) ).
tcf(c_43728,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_21180,c_42522]) ).
tcf(c_43729,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,xS,X0))) = sK7(iPr_def_11,xS,sK7(xS,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_21053,c_42522]) ).
tcf(c_43730,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20954,c_42522]) ).
tcf(c_43731,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_10934,c_42522]) ).
tcf(c_43732,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(X0))) = sK7(iPr_def_11,xS,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20307,c_42522]) ).
tcf(c_43733,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_20948,c_42522]) ).
tcf(c_43734,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,xS,X0))) = sK7(iPr_def_11,xS,sK7(xS,xS,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21047,c_42522]) ).
tcf(c_43735,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_21174,c_42522]) ).
tcf(c_43736,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22071,c_42522]) ).
tcf(c_43737,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X0)) )
| ~ aSet0(iPr_def_11)
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_22150,c_42522]) ).
tcf(c_43738,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(iPr_def_11))) = sK7(iPr_def_11,xS,sK4(iPr_def_11)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43689,c_6058]) ).
tcf(c_43756,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = sK7(iPr_def_11,xS,sK4(xS)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43716,c_6058]) ).
tcf(c_43760,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(xS))) = sK7(iPr_def_11,xS,sK4(xS)) )
| ~ aSubsetOf0(xS,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43715,c_6058]) ).
tcf(c_43764,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43703,c_6058]) ).
tcf(c_43767,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43699,c_6058]) ).
tcf(c_43770,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK4(X0))) = sK7(iPr_def_11,xS,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43698,c_6058]) ).
tcf(c_43775,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,xx)) = sK7(iPr_def_11,xS,xx) )
| ~ aSet0(iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_43696,c_16497]) ).
tcf(c_43789,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(xS,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43737,c_6058]) ).
tcf(c_43793,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X0))) = sK7(iPr_def_11,xS,sK7(xS,iPr_def_11,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43736,c_6058]) ).
tcf(c_43797,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0))) = sK7(iPr_def_11,xS,sK7(xS,slcrc0,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43735,c_6058]) ).
tcf(c_43801,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(xS,xS,X0))) = sK7(iPr_def_11,xS,sK7(xS,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43734,c_6058]) ).
tcf(c_43805,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43733,c_6058]) ).
tcf(c_43809,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0))) = sK7(iPr_def_11,xS,sK7(slcrc0,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43731,c_6058]) ).
tcf(c_43825,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43726,c_6058]) ).
tcf(c_43850,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(slcrc0,X0,X1))) = sK7(iPr_def_11,xS,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43704,c_6058]) ).
tcf(c_43854,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,X0,X1)
| aElementOf0(sK7(iPr_def_11,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK7(iPr_def_11,X0,X1))) = sK7(iPr_def_11,xS,sK7(iPr_def_11,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43694,c_6058]) ).
tcf(c_43862,plain,
! [X0: $i,X1: $i] :
( sP0(iPr_def_11,X0,X1)
| aElementOf0(sK6(iPr_def_11,X0,X1),X0)
| ( sK6(iPr_def_11,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(iPr_def_11,xS,sK6(iPr_def_11,X0,X1))) = sK7(iPr_def_11,xS,sK6(iPr_def_11,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43692,c_6058]) ).
tcf(c_44076,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK5(X0,xS))) = sK7(xS,xS,sK5(X0,xS)) )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_43011]) ).
tcf(c_44077,plain,
! [X0: $i,X1: $i] :
( sP0(X0,xS,X1)
| aElementOf0(sK6(X0,xS,X1),X0)
| ( sK6(X0,xS,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK6(X0,xS,X1))) = sK7(xS,xS,sK6(X0,xS,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_43011]) ).
tcf(c_44078,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK6(xS,X0,X1))) = sK7(xS,xS,sK6(xS,X0,X1)) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_43011]) ).
tcf(c_44079,plain,
! [X0: $i,X1: $i] :
( sP2(X0,xS,X1)
| aElementOf0(sK7(X0,xS,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(X0,xS,X1))) = sK7(xS,xS,sK7(X0,xS,X1)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_43011]) ).
tcf(c_44080,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,X0,X1))) = sK7(xS,xS,sK7(xS,X0,X1)) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_43011]) ).
tcf(c_44081,plain,
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,xx)) = sK7(xS,xS,xx) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_43011]) ).
tcf(c_44082,plain,
( ( sK6(slcrc0,slcrc0,sK7(xS,xS,xx)) = sK7(xS,xS,xx) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_43011]) ).
tcf(c_44083,plain,
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,xx)) = sK7(xS,xS,xx) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_43011]) ).
tcf(c_44084,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(X0))) = sK7(xS,xS,sK4(X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_43011]) ).
tcf(c_44085,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = sK7(xS,xS,sK7(xS,slcrc0,X0)) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_43011]) ).
tcf(c_44086,plain,
! [X0: $i] :
( sP2(slcrc0,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,xS,X0))) = sK7(xS,xS,sK7(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_5821,c_43011]) ).
tcf(c_44089,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = sK7(xS,xS,sK7(xS,xS,X0)) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_43011]) ).
tcf(c_44090,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,X0,X1))) = sK7(xS,xS,sK7(slcrc0,X0,X1)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_43011]) ).
tcf(c_44091,plain,
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(iPr_def_10))) = sK7(xS,xS,sK4(iPr_def_10)) ) ),
inference(superposition,[status(thm)],[c_5980,c_43011]) ).
tcf(c_44092,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK5(X0,iPr_def_10))) = sK7(xS,xS,sK5(X0,iPr_def_10)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_43011]) ).
tcf(c_44093,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_10,X0)
| ( sK7(slcrc0,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_10,X0))) = sK7(xS,xS,sK7(slcrc0,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_5979,c_43011]) ).
tcf(c_44094,plain,
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(xS))) = sK7(xS,xS,sK4(xS)) ) ),
inference(superposition,[status(thm)],[c_15524,c_43011]) ).
tcf(c_44097,plain,
! [X0: $i] :
( sP0(slcrc0,xS,X0)
| ( sK6(slcrc0,xS,X0) = X0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK6(slcrc0,xS,X0))) = sK7(xS,xS,sK6(slcrc0,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_6224,c_43011]) ).
tcf(c_44098,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = sK7(xS,xS,sK4(iPr_def_11)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_43011]) ).
tcf(c_44099,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X0)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = sK7(xS,xS,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_25003,c_43011]) ).
tcf(c_44100,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = sK7(xS,xS,sK4(iPr_def_11)) ) ),
inference(superposition,[status(thm)],[c_6390,c_43011]) ).
tcf(c_44101,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0))) = sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_43011]) ).
tcf(c_44102,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK7(slcrc0,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0))) = sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6425,c_43011]) ).
tcf(c_44103,plain,
! [X0: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK5(X0,iPr_def_11))) = sK7(xS,xS,sK5(X0,iPr_def_11)) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_43011]) ).
tcf(c_44106,plain,
! [X0: $i] :
( sP2(iPr_def_10,slcrc0,X0)
| ( sK7(iPr_def_10,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_10,slcrc0,X0))) = sK7(xS,xS,sK7(iPr_def_10,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6773,c_43011]) ).
tcf(c_44107,plain,
! [X0: $i] :
( sP2(iPr_def_10,iPr_def_10,X0)
| ( sK7(iPr_def_10,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X0))) = sK7(xS,xS,sK7(iPr_def_10,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_6848,c_43011]) ).
tcf(c_44108,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0))) = sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_43011]) ).
tcf(c_44109,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK7(iPr_def_11,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0))) = sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_6912,c_43011]) ).
tcf(c_44110,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_43011]) ).
tcf(c_44111,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK7(iPr_def_11,iPr_def_11,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)) ) ),
inference(superposition,[status(thm)],[c_6970,c_43011]) ).
tcf(c_44112,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK7(iPr_def_11,iPr_def_10,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)) ) ),
inference(superposition,[status(thm)],[c_8047,c_43011]) ).
tcf(c_44113,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_43011]) ).
tcf(c_44114,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK7(xS,slcrc0,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = sK7(xS,xS,sK7(xS,slcrc0,X0)) ) ),
inference(superposition,[status(thm)],[c_21181,c_43011]) ).
tcf(c_44115,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK7(xS,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = sK7(xS,xS,sK7(xS,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_21054,c_43011]) ).
tcf(c_44116,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK7(iPr_def_11,xS,X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,xS,X0))) = sK7(xS,xS,sK7(iPr_def_11,xS,X0)) ) ),
inference(superposition,[status(thm)],[c_20955,c_43011]) ).
tcf(c_44118,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(X0))) = sK7(xS,xS,sK4(X0)) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_43011]) ).
tcf(c_44119,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,xS,X0))) = sK7(xS,xS,sK7(iPr_def_11,xS,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_43011]) ).
tcf(c_44122,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,iPr_def_11,X0))) = sK7(xS,xS,sK7(xS,iPr_def_11,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_43011]) ).
tcf(c_44123,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,iPr_def_10,X0))) = sK7(xS,xS,sK7(xS,iPr_def_10,X0)) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_43011]) ).
tcf(c_44135,plain,
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(iPr_def_11))) = sK7(xS,xS,sK4(iPr_def_11)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44098,c_88]) ).
tcf(c_44139,plain,
! [X0: $i] :
( sP2(xS,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,xS,X0))) = sK7(xS,xS,sK7(xS,xS,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44089,c_88]) ).
tcf(c_44142,plain,
! [X0: $i] :
( sP2(xS,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,slcrc0,X0))) = sK7(xS,xS,sK7(xS,slcrc0,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44085,c_88]) ).
tcf(c_44145,plain,
! [X0: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK4(X0))) = sK7(xS,xS,sK4(X0)) )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44084,c_88]) ).
tcf(c_44149,plain,
! [X0: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK5(X0,xS))) = sK7(xS,xS,sK5(X0,xS)) )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44076,c_88]) ).
tcf(c_44153,plain,
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,xx)) = sK7(xS,xS,xx) )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_44082,c_14297]) ).
tcf(c_44170,plain,
! [X0: $i] :
( sP2(xS,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,iPr_def_10,X0))) = sK7(xS,xS,sK7(xS,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44123,c_88]) ).
tcf(c_44174,plain,
! [X0: $i] :
( sP2(xS,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,iPr_def_11,X0))) = sK7(xS,xS,sK7(xS,iPr_def_11,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44122,c_88]) ).
tcf(c_44178,plain,
! [X0: $i] :
( sP2(iPr_def_11,xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,xS,X0))) = sK7(xS,xS,sK7(iPr_def_11,xS,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44119,c_88]) ).
tcf(c_44191,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_10,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0))) = sK7(xS,xS,sK7(iPr_def_11,iPr_def_10,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44113,c_88]) ).
tcf(c_44201,plain,
! [X0: $i] :
( sP2(iPr_def_11,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0))) = sK7(xS,xS,sK7(iPr_def_11,iPr_def_11,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44110,c_88]) ).
tcf(c_44208,plain,
! [X0: $i] :
( sP2(iPr_def_11,slcrc0,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0))) = sK7(xS,xS,sK7(iPr_def_11,slcrc0,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44108,c_88]) ).
tcf(c_44221,plain,
! [X0: $i] :
( sP2(slcrc0,iPr_def_11,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0))) = sK7(xS,xS,sK7(slcrc0,iPr_def_11,X0)) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44101,c_88]) ).
tcf(c_44231,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,X0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(slcrc0,X0,X1))) = sK7(xS,xS,sK7(slcrc0,X0,X1)) )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44090,c_88]) ).
tcf(c_44235,plain,
! [X0: $i,X1: $i] :
( sP2(xS,X0,X1)
| aElementOf0(sK7(xS,X0,X1),X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK7(xS,X0,X1))) = sK7(xS,xS,sK7(xS,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44080,c_88]) ).
tcf(c_44243,plain,
! [X0: $i,X1: $i] :
( sP0(xS,X0,X1)
| aElementOf0(sK6(xS,X0,X1),X0)
| ( sK6(xS,X0,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(xS,xS,sK6(xS,X0,X1))) = sK7(xS,xS,sK6(xS,X0,X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44078,c_88]) ).
tcf(c_44381,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(xS)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_55,c_43354]) ).
tcf(c_44382,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,xS,X2)
| aElementOf0(sK6(X0,xS,X2),X0)
| ( sK6(X0,xS,X2) = X2 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_67,c_43354]) ).
tcf(c_44383,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_67,c_43354]) ).
tcf(c_44384,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,xS,X2)
| aElementOf0(sK7(X0,xS,X2),X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_78,c_43354]) ).
tcf(c_44385,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_78,c_43354]) ).
tcf(c_44386,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK5(xS,iPr_def_10)) = sK5(xS,iPr_def_10) )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_20132,c_43354]) ).
tcf(c_44387,plain,
! [X0: $i] :
( ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,sK5(xS,iPr_def_10))) = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_17392,c_43354]) ).
tcf(c_44388,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK5(xS,iPr_def_10)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_10332,c_43354]) ).
tcf(c_44389,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_20234,c_43354]) ).
tcf(c_44390,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5805,c_43354]) ).
tcf(c_44391,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_5821,c_43354]) ).
tcf(c_44392,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,xS,X1)
| aElement0(sK7(iPr_def_10,xS,X1))
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_5827,c_43354]) ).
tcf(c_44393,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| aElementOf0(sK7(xS,xS,X1),iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_20840,c_43354]) ).
tcf(c_44394,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_5816,c_43354]) ).
tcf(c_44395,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(xS)
| ~ aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_5922,c_43354]) ).
tcf(c_44396,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_10 )
| ( sK4(iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_5980,c_43354]) ).
tcf(c_44397,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_10,X0)
| ( sK5(X0,iPr_def_10) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_5987,c_43354]) ).
tcf(c_44398,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_10,X1)
| ( sK7(slcrc0,iPr_def_10,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_5979,c_43354]) ).
tcf(c_44399,plain,
! [X0: $i] :
( ( slcrc0 = xS )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_15524,c_43354]) ).
tcf(c_44400,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElementOf0(sK7(iPr_def_11,xS,X1),iPr_def_10)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6137,c_43354]) ).
tcf(c_44401,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| aElement0(sK7(iPr_def_11,xS,X1))
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6101,c_43354]) ).
tcf(c_44402,plain,
! [X0: $i,X1: $i] :
( sP0(slcrc0,xS,X1)
| ( sK6(slcrc0,xS,X1) = X1 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6224,c_43354]) ).
tcf(c_44403,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6387,c_43354]) ).
tcf(c_44404,plain,
! [X0: $i,X1: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sdtmndt0(slcrc0,sK7(iPr_def_11,xS,X1)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_25003,c_43354]) ).
tcf(c_44405,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK4(iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6390,c_43354]) ).
tcf(c_44406,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6422,c_43354]) ).
tcf(c_44407,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK7(slcrc0,iPr_def_11,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6425,c_43354]) ).
tcf(c_44408,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(iPr_def_11,X0)
| ( sK5(X0,iPr_def_11) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_6538,c_43354]) ).
tcf(c_44411,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,slcrc0,X1)
| ( sK7(iPr_def_10,slcrc0,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6773,c_43354]) ).
tcf(c_44412,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_10,iPr_def_10,X1)
| ( sK7(iPr_def_10,iPr_def_10,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6848,c_43354]) ).
tcf(c_44413,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6908,c_43354]) ).
tcf(c_44414,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK7(iPr_def_11,slcrc0,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6912,c_43354]) ).
tcf(c_44415,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_6966,c_43354]) ).
tcf(c_44416,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK7(iPr_def_11,iPr_def_11,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_6970,c_43354]) ).
tcf(c_44417,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK7(iPr_def_11,iPr_def_10,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_8047,c_43354]) ).
tcf(c_44418,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_8042,c_43354]) ).
tcf(c_44419,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK7(xS,slcrc0,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_21181,c_43354]) ).
tcf(c_44420,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK7(xS,xS,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_21054,c_43354]) ).
tcf(c_44421,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK7(iPr_def_11,xS,X1) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(superposition,[status(thm)],[c_20955,c_43354]) ).
tcf(c_44423,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK4(X0) = xx )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSubsetOf0(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_20302,c_43354]) ).
tcf(c_44424,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_20948,c_43354]) ).
tcf(c_44427,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22071,c_43354]) ).
tcf(c_44428,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS)
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(superposition,[status(thm)],[c_22150,c_43354]) ).
tcf(c_44433,plain,
! [X0: $i,X1: $i] :
( sP2(xS,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44394,c_88]) ).
tcf(c_44436,plain,
! [X0: $i,X1: $i] :
( sP2(xS,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44390,c_88]) ).
tcf(c_44451,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(xS,X0)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44381,c_88]) ).
tcf(c_44461,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44428,c_88]) ).
tcf(c_44465,plain,
! [X0: $i,X1: $i] :
( sP2(xS,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44427,c_88]) ).
tcf(c_44469,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,xS,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44424,c_88]) ).
tcf(c_44482,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_10,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44418,c_88]) ).
tcf(c_44492,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44415,c_88]) ).
tcf(c_44499,plain,
! [X0: $i,X1: $i] :
( sP2(iPr_def_11,slcrc0,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44413,c_88]) ).
tcf(c_44512,plain,
! [X0: $i,X1: $i] :
( sP2(slcrc0,iPr_def_11,X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44406,c_88]) ).
tcf(c_44516,plain,
! [X0: $i] :
( ( slcrc0 = iPr_def_11 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSubsetOf0(iPr_def_10,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44403,c_88]) ).
tcf(c_44526,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(slcrc0,X0,X2)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44395,c_88]) ).
tcf(c_44530,plain,
! [X0: $i,X1: $i] :
( ( X0 = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X1)) = sK7(xS,slcrc0,X1) )
| ~ aSubsetOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44389,c_88]) ).
tcf(c_44550,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(xS,X1,X2)
| aElementOf0(sK7(xS,X1,X2),X1)
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44385,c_88]) ).
tcf(c_44558,plain,
! [X0: $i] :
( ( sdtmndt0(slcrc0,sK7(iPr_def_10,iPr_def_10,xx)) = slcrc0 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) )
| ~ aSet0(xS) ),
inference(light_normalisation,[status(thm)],[c_44387,c_14297]) ).
tcf(c_44560,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(xS,X1,X2)
| aElementOf0(sK6(xS,X1,X2),X1)
| ( sK6(xS,X1,X2) = X2 )
| ( sK6(slcrc0,slcrc0,sK7(xS,slcrc0,X0)) = sK7(xS,slcrc0,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44383,c_88]) ).
tcf(c_44688,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_44560,c_44558,c_44550,c_44530,c_44526,c_44516,c_44512,c_44499,c_44492,c_44482,c_44469,c_44465,c_44461,c_44451,c_44436,c_44433,c_44428,c_44427,c_44424,c_44423,c_44421,c_44420,c_44419,c_44418,c_44417,c_44416,c_44415,c_44414,c_44413,c_44412,c_44411,c_44408,c_44407,c_44406,c_44405,c_44404,c_44403,c_44402,c_44401,c_44400,c_44399,c_44398,c_44397,c_44396,c_44395,c_44394,c_44393,c_44392,c_44391,c_44390,c_44389,c_44388,c_44387,c_44386,c_44385,c_44384,c_44383,c_44382,c_44381,c_44243,c_44235,c_44231,c_44221,c_44208,c_44201,c_44191,c_44178,c_44174,c_44170,c_44153,c_44149,c_44145,c_44142,c_44139,c_44135,c_44123,c_44122,c_44119,c_44118,c_44116,c_44115,c_44114,c_44113,c_44112,c_44111,c_44110,c_44109,c_44108,c_44107,c_44106,c_44103,c_44102,c_44101,c_44100,c_44099,c_44098,c_44097,c_44094,c_44093,c_44092,c_44091,c_44090,c_44089,c_44086,c_44085,c_44084,c_44083,c_44082,c_44081,c_44080,c_44079,c_44078,c_44077,c_44076,c_43862,c_43854,c_43850,c_43825,c_43809,c_43805,c_43801,c_43797,c_43793,c_43789,c_43775,c_43770,c_43767,c_43764,c_43760,c_43756,c_43738,c_43737,c_43736,c_43735,c_43734,c_43733,c_43732,c_43731,c_43730,c_43729,c_43728,c_43727,c_43726,c_43725,c_43724,c_43723,c_43721,c_43719,c_43718,c_43717,c_43716,c_43715,c_43714,c_43713,c_43712,c_43711,c_43710,c_43707,c_43704,c_43703,c_43700,c_43699,c_43698,c_43697,c_43696,c_43695,c_43694,c_43693,c_43692,c_43691,c_43690,c_43689,c_43668,c_43664,c_43653,c_43652,c_43651,c_43649,c_43648,c_43491,c_43486,c_43398,c_43397,c_43396,c_43395,c_43391,c_43390,c_43389,c_43388,c_43387,c_43386,c_43385,c_43383,c_43382,c_43381,c_43380,c_43379,c_43378,c_43377,c_43376,c_43375,c_43374,c_43373,c_43372,c_43371,c_43357,c_43354,c_43345,c_43343,c_43271,c_43235,c_43232,c_43231,c_43230,c_43229,c_43228,c_43227,c_43226,c_43224,c_43223,c_43222,c_43221,c_43121,c_43117,c_43055,c_43053,c_43049,c_43048,c_43047,c_43046,c_43045,c_43044,c_43043,c_43041,c_43040,c_43039,c_43038,c_43037,c_43036,c_43035,c_43033,c_43032,c_43031,c_43030,c_43018,c_43011,c_43010,c_43007,c_42934,c_42929,c_42894,c_42892,c_42891,c_42890,c_42889,c_42888,c_42887,c_42886,c_42885,c_42884,c_42882,c_42881,c_42880,c_42661,c_42657,c_42595,c_42593,c_42589,c_42588,c_42587,c_42586,c_42585,c_42584,c_42583,c_42581,c_42580,c_42579,c_42578,c_42577,c_42576,c_42575,c_42573,c_42572,c_42571,c_42570,c_42532,c_42522,c_42521,c_42520,c_42519,c_42518,c_42458,c_42453,c_42418,c_42416,c_42415,c_42414,c_42413,c_42412,c_42411,c_42410,c_42409,c_42408,c_42406,c_42405,c_42404,c_42285,c_42281,c_42220,c_42216,c_42215,c_42214,c_42213,c_42212,c_42211,c_42210,c_42208,c_42207,c_42206,c_42205,c_42204,c_42203,c_42202,c_42200,c_42199,c_42198,c_42197,c_42114,c_42108,c_42102,c_42096,c_42063,c_42061,c_42060,c_42054,c_42053,c_42052,c_42051,c_42049,c_42048,c_42037,c_42035,c_42034,c_41953,c_41949,c_41924,c_41923,c_41920,c_41919,c_41918,c_41916,c_41915,c_41913,c_41778,c_41767,c_41687,c_41683,c_41682,c_41681,c_41680,c_41679,c_41678,c_41677,c_41675,c_41674,c_41673,c_41672,c_41671,c_41670,c_41669,c_41668,c_41667,c_41666,c_41665,c_41664,c_41604,c_41551,c_41550,c_41549,c_41548,c_41547,c_41546,c_41545,c_41544,c_41543,c_41542,c_41541,c_41540,c_41539,c_41538,c_41537,c_41536,c_41404,c_41399,c_41397,c_41393,c_41389,c_41385,c_41381,c_41377,c_41372,c_41370,c_41369,c_41367,c_41366,c_41365,c_41362,c_41357,c_41356,c_41355,c_41352,c_41351,c_41331,c_41307,c_41288,c_41284,c_41283,c_41282,c_41281,c_41280,c_41279,c_41278,c_41277,c_41276,c_41275,c_41274,c_41273,c_41272,c_41271,c_41270,c_41269,c_41268,c_41267,c_41265,c_41263,c_41262,c_41261,c_41260,c_41259,c_41258,c_41257,c_41256,c_41252,c_41245,c_41244,c_41243,c_41240,c_41239,c_41238,c_41237,c_41205,c_41204,c_41203,c_41137,c_41130,c_41129,c_41128,c_41105,c_41081,c_41079,c_41078,c_41077,c_41069,c_41068,c_41067,c_41066,c_41046,c_41043,c_41041,c_41040,c_41039,c_40980,c_40978,c_40977,c_40976,c_40817,c_40809,c_40805,c_40780,c_40773,c_40769,c_40765,c_40761,c_40757,c_40753,c_40748,c_40743,c_40740,c_40737,c_40733,c_40729,c_40711,c_40710,c_40709,c_40708,c_40707,c_40706,c_40705,c_40704,c_40703,c_40702,c_40701,c_40699,c_40697,c_40696,c_40695,c_40694,c_40693,c_40692,c_40691,c_40690,c_40689,c_40688,c_40685,c_40682,c_40681,c_40678,c_40677,c_40676,c_40675,c_40674,c_40673,c_40672,c_40671,c_40670,c_40669,c_40668,c_42065,c_42064,c_42062,c_42058,c_42057,c_42055,c_42050,c_40422,c_40414,c_40410,c_40378,c_40374,c_40371,c_40368,c_40328,c_40321,c_40320,c_40316,c_40315,c_40314,c_40313,c_40312,c_40311,c_40309,c_40308,c_40306,c_40305,c_40304,c_40301,c_40300,c_40299,c_40298,c_40293,c_40292,c_40291,c_40290,c_40289,c_40286,c_40285,c_40284,c_40283,c_40280,c_40279,c_40278,c_40277,c_40276,c_40275,c_40272,c_40271,c_40270,c_40269,c_40268,c_40267,c_40217,c_40210,c_40209,c_40208,c_40172,c_40167,c_40163,c_40142,c_40141,c_40140,c_40138,c_40137,c_40135,c_40104,c_40100,c_40082,c_40081,c_40079,c_40078,c_40076,c_40050,c_40043,c_40042,c_40041,c_40011,c_40010,c_40009,c_40008,c_40007,c_40006,c_40005,c_40004,c_40003,c_40002,c_40001,c_40000,c_39999,c_39998,c_39997,c_39996,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM536+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.37 % Computer : n011.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.38 % CPULimit : 300
% 0.08/5.38 % WCLimit : 300
% 0.08/5.38 % DateTime : Thu Sep 24 04:30:06 UTC 2026
% 0.08/5.38 % CPUTime :
% 0.08/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 54.12/14.87 % SZS status Started for theBenchmark.p
% 54.12/14.87 % SZS status Theorem for theBenchmark.p
% 54.12/14.87
% 54.12/14.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.12/14.87
% 54.12/14.87 % ------ iProver source info
% 54.12/14.87
% 54.12/14.87 % git: date: 2026-07-19 20:42:38 +0200
% 54.12/14.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.12/14.87 % git: non_committed_changes: false
% 54.12/14.87
% 54.12/14.87 % ------ Parsing...
% 54.12/14.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.12/14.87
% 54.12/14.87 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 54.12/14.87
% 54.12/14.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.12/14.87
% 54.12/14.87 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.12/14.87 % ------ Proving...
% 54.12/14.87 % ------ Problem Properties
% 54.12/14.87
% 54.12/14.87 %
% 54.12/14.87 % clauses 40
% 54.12/14.87 % conjectures 1
% 54.12/14.87 % EPR 22
% 54.12/14.87 % Horn 30
% 54.12/14.87 % unary 8
% 54.12/14.87 % binary 4
% 54.12/14.87 % lits 120
% 54.12/14.87 % lits eq 14
% 54.12/14.87 % fd_pure 0
% 54.12/14.87 % fd_pseudo 0
% 54.12/14.87 % fd_cond 1
% 54.12/14.87 % fd_pseudo_cond 5
% 54.12/14.87 % AC symbols 0
% 54.12/14.87
% 54.12/14.87 % ------ Schedule dynamic 5 is on
% 54.12/14.87
% 54.12/14.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.12/14.87
% 54.12/14.87
% 54.12/14.87 % ------
% 54.12/14.87 % Current options:
% 54.12/14.87 % ------
% 54.12/14.87
% 54.12/14.87
% 54.12/14.87 %
% 54.12/14.87
% 54.12/14.87 % ------ Proving...
% 54.12/14.87 %
% 54.12/14.87
% 54.12/14.87 % SZS status Theorem for theBenchmark.p
% 54.12/14.87
% 54.12/14.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.91/14.94
% 65.91/14.94
%------------------------------------------------------------------------------