%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET761+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:48:25 PM UTC 2026
% Result : Theorem 58.68s 19.13s
% Output : CNFRefutation 58.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 7
% Syntax : Number of formulae : 7012 ( 121 unt; 0 def)
% Number of atoms : 23449 (3242 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 27241 (10804 ~;16338 |; 72 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 31 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 28693 ( 0 sgn28672 !; 21 ?;28485 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X2)
& member(X5,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X6)
& apply(X0,X3,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( member(X3,image3(X0,X1,X2))
<=> ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image3) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( subset(X4,X1)
& subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2) )
=> equal_set(image3(X0,intersection(X3,X4),X2),intersection(image3(X0,X3,X2),image3(X0,X4,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa11) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( subset(X4,X1)
& subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2) )
=> equal_set(image3(X0,intersection(X3,X4),X2),intersection(image3(X0,X3,X2),image3(X0,X4,X2))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f33,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f35,plain,
? [X0,X1,X2,X3,X4] :
( subset(X4,X1)
& subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2)
& ~ equal_set(image3(X0,intersection(X3,X4),X2),intersection(image3(X0,X3,X2),image3(X0,X4,X2))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f36,plain,
? [X0,X1,X2,X3,X4] :
( subset(X4,X1)
& subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2)
& ~ equal_set(image3(X0,intersection(X3,X4),X2),intersection(image3(X0,X3,X2),image3(X0,X4,X2))) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ injective(X0,X1,X2)
| ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ injective(X0,X1,X2)
| ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
( subset(sK4,sK1)
& subset(sK3,sK1)
& injective(sK0,sK1,sK2)
& maps(sK0,sK1,sK2)
& ~ equal_set(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f46,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( member(sK5(X0,X1),X0)
& ~ member(sK5(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( ~ member(X0,intersection(X1,X2))
| ( member(X0,X2)
& member(X0,X1) ) )
& ( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ~ member(X0,intersection(X1,X2))
| ( member(X0,X2)
& member(X0,X1) ) )
& ( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ( apply(X0,X3,sK6(X0,X2,X3))
& member(sK6(X0,X2,X3),X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X0,X2,X3))],[f41]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X5] :
( apply(X0,X5,X3)
& member(X5,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( apply(X0,sK7(X0,X1,X3),X3)
& member(sK7(X0,X1,X3),X1)
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X5,sK7(X0,X1,X3))],[f53]) ).
fof(f55,plain,
subset(sK4,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f56,plain,
subset(sK3,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f57,plain,
injective(sK0,sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f58,plain,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f59,plain,
~ equal_set(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),
inference(cnf_transformation,[],[f44]) ).
fof(f60,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f61,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f62,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f66,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ),
inference(cnf_transformation,[],[f50]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK6(X0,X2,X3)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK6(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X0,X1,X2)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| apply(X0,sK7(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(sK7(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_49,negated_conjecture,
~ equal_set(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),
inference(cnf_transformation,[],[f59]) ).
tcf(c_50,negated_conjecture,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f58]) ).
tcf(c_51,negated_conjecture,
injective(sK0,sK1,sK2),
inference(cnf_transformation,[],[f57]) ).
tcf(c_52,negated_conjecture,
subset(sK3,sK1),
inference(cnf_transformation,[],[f56]) ).
tcf(c_53,negated_conjecture,
subset(sK4,sK1),
inference(cnf_transformation,[],[f55]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK6(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ~ member(X5,X1)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X5,X4)
| ~ apply(X0,X3,X4)
| ~ injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X2,image3(X0,X4,X3))
| ~ member(X2,X3)
| ~ member(X1,X4)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,X0),X2)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,X0),X0)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| ( image3(sK0,intersection(sK3,sK4),sK2) != X1 )
| ( intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_60]) ).
tcf(c_290,plain,
( ~ subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| ~ subset(intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(unflattening,[status(thm)],[c_289]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X2)
| ~ apply(X0,X5,X4)
| ~ apply(X0,X3,X4)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_64]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ member(X2,sK1)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X2,X1)
| ~ apply(sK0,X0,X1) ),
inference(unflattening,[status(thm)],[c_299]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ member(X5,X1)
| ~ member(X4,X1)
| ~ member(X3,X2)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_63]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X2)
| ~ apply(sK0,X0,X1) ),
inference(unflattening,[status(thm)],[c_326]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK6(X0,X1,X3))
| ~ member(X3,X2)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_62]) ).
tcf(c_347,plain,
! [X0: $i] :
( apply(sK0,X0,sK6(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_346]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,X3),X1)
| ~ member(X3,X2)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_61]) ).
tcf(c_356,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK2)
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_355]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ member(sK6(sK0,sK2,X1),sK2)
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_347,c_300]) ).
tcf(c_889,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1)
| ~ member(sK6(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_347,c_327]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_871,c_356]) ).
tcf(c_927,plain,
! [X0: $i] : subset(X0,X0),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_55,c_58]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_55,c_59]) ).
tcf(c_948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_55,c_66]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_959,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_356,c_56]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i] : subset(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_933,c_54]) ).
tcf(c_972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_933,c_56]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X1) ),
inference(superposition,[status(thm)],[c_933,c_59]) ).
tcf(c_974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X0) ),
inference(superposition,[status(thm)],[c_933,c_58]) ).
tcf(c_975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),X2) ),
inference(superposition,[status(thm)],[c_933,c_66]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_959,c_56]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_959,c_59]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X0)
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_959,c_58]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_959,c_66]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_889,c_356,c_889]) ).
tcf(c_1051,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_52,c_994]) ).
tcf(c_1052,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_53,c_994]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1051,c_56]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1052,c_56]) ).
tcf(c_1093,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,intersection(X1,X2))
| ~ member(sK5(X0,intersection(X1,X2)),X2)
| ~ member(sK5(X0,intersection(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_1094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_55,c_67]) ).
tcf(c_1110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),X1) ),
inference(superposition,[status(thm)],[c_933,c_67]) ).
tcf(c_1111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK6(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_959,c_67]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(X0,sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK5(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55,c_68]) ).
tcf(c_1129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK5(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_933,c_68]) ).
tcf(c_1130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK6(sK0,sK2,X3)),sK6(sK0,sK2,X3))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_959,c_68]) ).
tcf(c_1151,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_347,c_65]) ).
tcf(c_1157,plain,
( subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_1158,plain,
( subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i] : subset(intersection(X0,X1),X1),
inference(superposition,[status(thm)],[c_941,c_54]) ).
tcf(c_1166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_941,c_56]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X2) ),
inference(superposition,[status(thm)],[c_941,c_59]) ).
tcf(c_1168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X1) ),
inference(superposition,[status(thm)],[c_941,c_58]) ).
tcf(c_1169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK5(intersection(X2,image3(X0,X1,X3)),X4)) ),
inference(superposition,[status(thm)],[c_941,c_68]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),X1) ),
inference(superposition,[status(thm)],[c_941,c_67]) ).
tcf(c_1171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X3) ),
inference(superposition,[status(thm)],[c_941,c_66]) ).
tcf(c_1195,plain,
( apply(sK0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1196,plain,
( member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),intersection(sK3,sK4))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_1197,plain,
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),sK2)
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_958,c_56]) ).
tcf(c_1209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_958,c_59]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_958,c_58]) ).
tcf(c_1211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK7(X1,X2,sK5(X0,X4)),sK5(X0,X4))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_958,c_68]) ).
tcf(c_1212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK5(X0,X4)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_958,c_67]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK5(X0,X4),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_958,c_66]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i,X2: $i] : subset(image3(X0,X1,X2),X2),
inference(superposition,[status(thm)],[c_948,c_54]) ).
tcf(c_1238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK5(image3(X2,X3,X0),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_948,c_56]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),X3) ),
inference(superposition,[status(thm)],[c_948,c_59]) ).
tcf(c_1240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),X2) ),
inference(superposition,[status(thm)],[c_948,c_58]) ).
tcf(c_1241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,image3(X0,X1,X4)),X5)),sK5(image3(X2,X3,image3(X0,X1,X4)),X5)) ),
inference(superposition,[status(thm)],[c_948,c_68]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(X0,X1,sK5(image3(X2,X3,image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_948,c_67]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),X4) ),
inference(superposition,[status(thm)],[c_948,c_66]) ).
tcf(c_1284,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1069,c_56]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1069,c_59]) ).
tcf(c_1286,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X0)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1069,c_58]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK6(sK0,sK2,X3)),sK6(sK0,sK2,X3))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1069,c_68]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK6(sK0,sK2,X3)),X1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1069,c_67]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1069,c_66]) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1081,c_56]) ).
tcf(c_1346,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1081,c_59]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X0)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1081,c_58]) ).
tcf(c_1348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(X0,X1,sK6(sK0,sK2,X3)),sK6(sK0,sK2,X3))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1081,c_68]) ).
tcf(c_1349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK6(sK0,sK2,X3)),X1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1081,c_67]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1081,c_66]) ).
tcf(c_1452,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_55,c_58]) ).
tcf(c_1463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ member(sK6(sK0,sK2,X3),X1)
| ~ subset(image3(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1151,c_56]) ).
tcf(c_1464,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X2,sK6(sK0,sK2,X0)),sK6(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_68]) ).
tcf(c_1465,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK6(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_67]) ).
tcf(c_1577,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_972,c_54]) ).
tcf(c_1578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X3),X4)
| member(sK5(intersection(X0,X3),X4),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_972,c_56]) ).
tcf(c_1579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X3),X4)
| member(sK5(intersection(X0,X3),X4),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_972,c_59]) ).
tcf(c_1580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X3),X4)
| member(sK5(intersection(X0,X3),X4),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_972,c_58]) ).
tcf(c_1581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,X4),X5)
| apply(X1,sK7(X1,X2,sK5(intersection(X0,X4),X5)),sK5(intersection(X0,X4),X5))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_68]) ).
tcf(c_1582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,X4),X5)
| member(sK7(X1,X2,sK5(intersection(X0,X4),X5)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_67]) ).
tcf(c_1583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,X4),X5)
| member(sK5(intersection(X0,X4),X5),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_972,c_66]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_55,c_59]) ).
tcf(c_1616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_55,c_66]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(X0,X2)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_994]) ).
tcf(c_1624,plain,
( ~ subset(image3(sK0,sK3,sK2),image3(sK0,intersection(sK3,sK4),sK2))
| ~ subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(superposition,[status(thm)],[c_1577,c_290]) ).
tcf(c_1639,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_973,c_54]) ).
tcf(c_1640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X2,X0),X3),X4)
| member(sK5(intersection(intersection(X2,X0),X3),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_973,c_56]) ).
tcf(c_1641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X2) ),
inference(superposition,[status(thm)],[c_973,c_59]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X1) ),
inference(superposition,[status(thm)],[c_973,c_58]) ).
tcf(c_1643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5)),sK5(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5)) ),
inference(superposition,[status(thm)],[c_973,c_68]) ).
tcf(c_1644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5)),X1) ),
inference(superposition,[status(thm)],[c_973,c_67]) ).
tcf(c_1645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X3) ),
inference(superposition,[status(thm)],[c_973,c_66]) ).
tcf(c_1689,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_1701,plain,
( member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK4)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),intersection(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_1702,plain,
( member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK3)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),intersection(sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_1707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_994]) ).
tcf(c_1720,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(X0,X1),X2),X0),
inference(superposition,[status(thm)],[c_974,c_54]) ).
tcf(c_1721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X2),X3),X4)
| member(sK5(intersection(intersection(X0,X2),X3),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_974,c_56]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),X1) ),
inference(superposition,[status(thm)],[c_974,c_59]) ).
tcf(c_1723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),X0) ),
inference(superposition,[status(thm)],[c_974,c_58]) ).
tcf(c_1724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)),sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)) ),
inference(superposition,[status(thm)],[c_974,c_68]) ).
tcf(c_1725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK7(X0,X1,sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)),X1) ),
inference(superposition,[status(thm)],[c_974,c_67]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X2) ),
inference(superposition,[status(thm)],[c_974,c_66]) ).
tcf(c_1749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1452,c_56]) ).
tcf(c_1802,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_52,c_1284]) ).
tcf(c_1803,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_53,c_1284]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_1284]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_1284]) ).
tcf(c_1842,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_52,c_1345]) ).
tcf(c_1843,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_53,c_1345]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_1345]) ).
tcf(c_1849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_1345]) ).
tcf(c_1882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X0)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_1345]) ).
tcf(c_1883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X0)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_1284]) ).
tcf(c_1884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X0)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_994]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X2,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1166,c_54]) ).
tcf(c_1913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,X0),X4)
| member(sK5(intersection(X3,X0),X4),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1166,c_56]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,X0),X4)
| member(sK5(intersection(X3,X0),X4),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1166,c_59]) ).
tcf(c_1915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,X0),X4)
| member(sK5(intersection(X3,X0),X4),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1166,c_58]) ).
tcf(c_1916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,X0),X5)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,X0),X5)),sK5(intersection(X4,X0),X5))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1166,c_68]) ).
tcf(c_1917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,X0),X5)
| member(sK7(X1,X2,sK5(intersection(X4,X0),X5)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1166,c_67]) ).
tcf(c_1918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,X0),X5)
| member(sK5(intersection(X4,X0),X5),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1166,c_66]) ).
tcf(c_1982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_1345]) ).
tcf(c_1983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_1284]) ).
tcf(c_1984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(X1,X2)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_994]) ).
tcf(c_1985,plain,
( ~ subset(image3(sK0,sK4,sK2),image3(sK0,intersection(sK3,sK4),sK2))
| ~ subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(superposition,[status(thm)],[c_1912,c_290]) ).
tcf(c_2010,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(X1,X2)),X2),
inference(superposition,[status(thm)],[c_1167,c_54]) ).
tcf(c_2011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X3,X0)),X4)
| member(sK5(intersection(X2,intersection(X3,X0)),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1167,c_56]) ).
tcf(c_2012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X3) ),
inference(superposition,[status(thm)],[c_1167,c_59]) ).
tcf(c_2013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X2) ),
inference(superposition,[status(thm)],[c_1167,c_58]) ).
tcf(c_2014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5)),sK5(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5)) ),
inference(superposition,[status(thm)],[c_1167,c_68]) ).
tcf(c_2015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5)),X1) ),
inference(superposition,[status(thm)],[c_1167,c_67]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X4) ),
inference(superposition,[status(thm)],[c_1167,c_66]) ).
tcf(c_2043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_1345]) ).
tcf(c_2044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_1284]) ).
tcf(c_2045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_994]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(X1,X2)),X1),
inference(superposition,[status(thm)],[c_1168,c_54]) ).
tcf(c_2080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X0,X3)),X4)
| member(sK5(intersection(X2,intersection(X0,X3)),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1168,c_56]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X2) ),
inference(superposition,[status(thm)],[c_1168,c_59]) ).
tcf(c_2082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X1) ),
inference(superposition,[status(thm)],[c_1168,c_58]) ).
tcf(c_2083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5)),sK5(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5)) ),
inference(superposition,[status(thm)],[c_1168,c_68]) ).
tcf(c_2084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_1168,c_67]) ).
tcf(c_2085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X3) ),
inference(superposition,[status(thm)],[c_1168,c_66]) ).
tcf(c_2158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_1345]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_1284]) ).
tcf(c_2160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_994]) ).
tcf(c_2184,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_52,c_1208]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_53,c_1208]) ).
tcf(c_2221,plain,
! [X0: $i] :
( subset(sK3,X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2184,c_54]) ).
tcf(c_2222,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2184,c_56]) ).
tcf(c_2223,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_2184,c_59]) ).
tcf(c_2224,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_2184,c_58]) ).
tcf(c_2225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK5(sK3,X3)),sK5(sK3,X3))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2184,c_68]) ).
tcf(c_2226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK5(sK3,X3)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2184,c_67]) ).
tcf(c_2227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2184,c_66]) ).
tcf(c_2292,plain,
! [X0: $i] :
( subset(sK4,X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2185,c_54]) ).
tcf(c_2293,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2185,c_56]) ).
tcf(c_2294,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_2185,c_59]) ).
tcf(c_2295,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_2185,c_58]) ).
tcf(c_2296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| apply(X0,sK7(X0,X1,sK5(sK4,X3)),sK5(sK4,X3))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2185,c_68]) ).
tcf(c_2297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK7(X0,X1,sK5(sK4,X3)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2185,c_67]) ).
tcf(c_2298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2185,c_66]) ).
tcf(c_2331,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,intersection(X1,X2))
| ~ member(sK5(X0,intersection(X1,X2)),X2)
| ~ member(sK5(X0,intersection(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_2402,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_52,c_2222]) ).
tcf(c_2403,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_53,c_2222]) ).
tcf(c_2408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_2222]) ).
tcf(c_2409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_2222]) ).
tcf(c_2410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X0)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_2222]) ).
tcf(c_2411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_2222]) ).
tcf(c_2412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_2222]) ).
tcf(c_2413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_2222]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,image3(X0,sK4,X2))
| ~ member(X1,X2)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK4)
| ~ apply(X0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_2475,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2402,c_56]) ).
tcf(c_2488,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2403,c_56]) ).
tcf(c_2502,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_52,c_2293]) ).
tcf(c_2503,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_53,c_2293]) ).
tcf(c_2508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_2293]) ).
tcf(c_2509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_2293]) ).
tcf(c_2510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X0)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_2293]) ).
tcf(c_2511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_2293]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_2293]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_2293]) ).
tcf(c_2562,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,image3(X0,sK3,X2))
| ~ member(X1,X2)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK3)
| ~ apply(X0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_2575,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2502,c_56]) ).
tcf(c_2588,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2503,c_56]) ).
tcf(c_2643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6)),sK5(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6)) ),
inference(superposition,[status(thm)],[c_1237,c_1581]) ).
tcf(c_2644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,X4),X5),X6)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X0,X4),X5),X6)),sK5(intersection(intersection(X0,X4),X5),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_1581]) ).
tcf(c_2645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6)),sK5(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6)) ),
inference(superposition,[status(thm)],[c_1639,c_1581]) ).
tcf(c_2646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)),sK5(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)) ),
inference(superposition,[status(thm)],[c_1720,c_1581]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X4,X0),X5),X6)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,X0),X5),X6)),sK5(intersection(intersection(X4,X0),X5),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_1581]) ).
tcf(c_2648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6)),sK5(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6)) ),
inference(superposition,[status(thm)],[c_2010,c_1581]) ).
tcf(c_2649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6)),sK5(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6)) ),
inference(superposition,[status(thm)],[c_2079,c_1581]) ).
tcf(c_2698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,X1)
| ~ member(X2,X3)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1912,c_1094]) ).
tcf(c_2699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_2010,c_1094]) ).
tcf(c_2700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X1)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_2079,c_1094]) ).
tcf(c_2729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1609,c_56]) ).
tcf(c_2752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X0,X3),X4)
| member(sK7(X2,X0,sK5(image3(X2,X0,X3),X4)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1109,c_56]) ).
tcf(c_2753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,intersection(X1,X2),X3),X4)
| member(sK7(X0,intersection(X1,X2),sK5(image3(X0,intersection(X1,X2),X3),X4)),X2) ),
inference(superposition,[status(thm)],[c_1109,c_59]) ).
tcf(c_2754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,intersection(X1,X2),X3),X4)
| member(sK7(X0,intersection(X1,X2),sK5(image3(X0,intersection(X1,X2),X3),X4)),X1) ),
inference(superposition,[status(thm)],[c_1109,c_58]) ).
tcf(c_2755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,image3(X0,X1,X3),X4),X5)
| apply(X0,sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK5(image3(X2,image3(X0,X1,X3),X4),X5))),sK7(X2,image3(X0,X1,X3),sK5(image3(X2,image3(X0,X1,X3),X4),X5))) ),
inference(superposition,[status(thm)],[c_1109,c_68]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,image3(X0,X1,X3),X4),X5)
| member(sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK5(image3(X2,image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_1109,c_67]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,image3(X1,X2,X3),X4),X5)
| member(sK7(X0,image3(X1,X2,X3),sK5(image3(X0,image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_1109,c_66]) ).
tcf(c_2779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(image3(X0,X1,X2),X3),X2),
inference(superposition,[status(thm)],[c_975,c_54]) ).
tcf(c_2780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X2,X3,X0),X4),X5)
| member(sK5(intersection(image3(X2,X3,X0),X4),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_975,c_56]) ).
tcf(c_2781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X3) ),
inference(superposition,[status(thm)],[c_975,c_59]) ).
tcf(c_2782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X2) ),
inference(superposition,[status(thm)],[c_975,c_58]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6)
| member(sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6)),X1) ),
inference(superposition,[status(thm)],[c_975,c_67]) ).
tcf(c_2785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,image3(X2,X3,X4)),X5),X6)
| member(sK5(intersection(image3(X0,X1,image3(X2,X3,X4)),X5),X6),X4) ),
inference(superposition,[status(thm)],[c_975,c_66]) ).
tcf(c_2819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_2293]) ).
tcf(c_2820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_2222]) ).
tcf(c_2822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_1345]) ).
tcf(c_2823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_1284]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_994]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2779,c_1094]) ).
tcf(c_2828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7)),sK5(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_2779,c_1581]) ).
tcf(c_2948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6)),sK5(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6)) ),
inference(superposition,[status(thm)],[c_1237,c_1916]) ).
tcf(c_2949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,intersection(X0,X5)),X6)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X0,X5)),X6)),sK5(intersection(X4,intersection(X0,X5)),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_1916]) ).
tcf(c_2950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6)),sK5(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6)) ),
inference(superposition,[status(thm)],[c_1639,c_1916]) ).
tcf(c_2951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6)),sK5(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6)) ),
inference(superposition,[status(thm)],[c_1720,c_1916]) ).
tcf(c_2952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,intersection(X5,X0)),X6)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,X0)),X6)),sK5(intersection(X4,intersection(X5,X0)),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_1916]) ).
tcf(c_2953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6)),sK5(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6)) ),
inference(superposition,[status(thm)],[c_2010,c_1916]) ).
tcf(c_2954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6)),sK5(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6)) ),
inference(superposition,[status(thm)],[c_2079,c_1916]) ).
tcf(c_2955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7)),sK5(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7)) ),
inference(superposition,[status(thm)],[c_2779,c_1916]) ).
tcf(c_2985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,image3(X1,X2,X3)),X3),
inference(superposition,[status(thm)],[c_1171,c_54]) ).
tcf(c_2986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X3,X4,X0)),X5)
| member(sK5(intersection(X2,image3(X3,X4,X0)),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1171,c_56]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X4) ),
inference(superposition,[status(thm)],[c_1171,c_59]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X3) ),
inference(superposition,[status(thm)],[c_1171,c_58]) ).
tcf(c_2990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6)),X1) ),
inference(superposition,[status(thm)],[c_1171,c_67]) ).
tcf(c_2991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,image3(X3,X4,X5))),X6)
| member(sK5(intersection(X0,image3(X1,X2,image3(X3,X4,X5))),X6),X5) ),
inference(superposition,[status(thm)],[c_1171,c_66]) ).
tcf(c_3014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1689,c_56]) ).
tcf(c_3045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_2293]) ).
tcf(c_3046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_2222]) ).
tcf(c_3048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_1345]) ).
tcf(c_3049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_1284]) ).
tcf(c_3050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_994]) ).
tcf(c_3054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7)),sK5(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7)) ),
inference(superposition,[status(thm)],[c_2985,c_1916]) ).
tcf(c_3055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7)),sK5(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7)) ),
inference(superposition,[status(thm)],[c_2985,c_1581]) ).
tcf(c_3113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X2,X3,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1238,c_54]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,X0),X5)
| member(sK5(image3(X3,X4,X0),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1238,c_56]) ).
tcf(c_3115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,X0),X5)
| member(sK5(image3(X3,X4,X0),X5),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1238,c_59]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,X0),X5)
| member(sK5(image3(X3,X4,X0),X5),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1238,c_58]) ).
tcf(c_3117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,X0),X6)),sK5(image3(X4,X5,X0),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1238,c_68]) ).
tcf(c_3118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK7(X1,X2,sK5(image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1238,c_67]) ).
tcf(c_3119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK5(image3(X4,X5,X0),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1238,c_66]) ).
tcf(c_3164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_2293]) ).
tcf(c_3165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_2222]) ).
tcf(c_3167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_1345]) ).
tcf(c_3168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_1284]) ).
tcf(c_3169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_994]) ).
tcf(c_3170,plain,
( ~ subset(sK2,intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| ~ subset(image3(sK0,sK4,sK2),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(superposition,[status(thm)],[c_3113,c_1985]) ).
tcf(c_3171,plain,
( ~ subset(sK2,intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| ~ subset(image3(sK0,sK3,sK2),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(superposition,[status(thm)],[c_3113,c_1624]) ).
tcf(c_3175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,image3(X5,X6,X0)),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,X0)),X7)),sK5(intersection(X4,image3(X5,X6,X0)),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_1916]) ).
tcf(c_3176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X4,X5,X0),X6),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,X0),X6),X7)),sK5(intersection(image3(X4,X5,X0),X6),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_1581]) ).
tcf(c_3216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK5(image3(X2,X3,X0),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1616,c_56]) ).
tcf(c_3317,plain,
( ~ subset(sK2,image3(sK0,intersection(sK3,sK4),sK2))
| ~ subset(sK2,intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(superposition,[status(thm)],[c_3113,c_3170]) ).
tcf(c_3324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,intersection(X2,X3)),X3),
inference(superposition,[status(thm)],[c_1239,c_54]) ).
tcf(c_3325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(X4,X0)),X5)
| member(sK5(image3(X2,X3,intersection(X4,X0)),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1239,c_56]) ).
tcf(c_3326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X4) ),
inference(superposition,[status(thm)],[c_1239,c_59]) ).
tcf(c_3327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X3) ),
inference(superposition,[status(thm)],[c_1239,c_58]) ).
tcf(c_3328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6)),sK5(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6)) ),
inference(superposition,[status(thm)],[c_1239,c_68]) ).
tcf(c_3329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6)
| member(sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6)),X1) ),
inference(superposition,[status(thm)],[c_1239,c_67]) ).
tcf(c_3330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,X5))),X6)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,X5))),X6),X5) ),
inference(superposition,[status(thm)],[c_1239,c_66]) ).
tcf(c_3357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_2293]) ).
tcf(c_3358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_2222]) ).
tcf(c_3360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_1345]) ).
tcf(c_3361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_1284]) ).
tcf(c_3362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_994]) ).
tcf(c_3366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7)),sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7)) ),
inference(superposition,[status(thm)],[c_3324,c_1916]) ).
tcf(c_3367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7)),sK5(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7)) ),
inference(superposition,[status(thm)],[c_3324,c_1581]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,intersection(X2,X3)),X2),
inference(superposition,[status(thm)],[c_1240,c_54]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(X0,X4)),X5)
| member(sK5(image3(X2,X3,intersection(X0,X4)),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1240,c_56]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5)
| member(sK5(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X3) ),
inference(superposition,[status(thm)],[c_1240,c_59]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5)
| member(sK5(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X2) ),
inference(superposition,[status(thm)],[c_1240,c_58]) ).
tcf(c_3417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6)),sK5(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6)) ),
inference(superposition,[status(thm)],[c_1240,c_68]) ).
tcf(c_3418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6)
| member(sK7(X0,X1,sK5(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6)),X1) ),
inference(superposition,[status(thm)],[c_1240,c_67]) ).
tcf(c_3419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6),X4) ),
inference(superposition,[status(thm)],[c_1240,c_66]) ).
tcf(c_3451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_2293]) ).
tcf(c_3452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_2222]) ).
tcf(c_3454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_1345]) ).
tcf(c_3455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_1284]) ).
tcf(c_3456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_994]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7)),sK5(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7)) ),
inference(superposition,[status(thm)],[c_3413,c_1916]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7)),sK5(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7)) ),
inference(superposition,[status(thm)],[c_3413,c_1581]) ).
tcf(c_3592,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK6(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_356,c_1465]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X2)),X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3592,c_56]) ).
tcf(c_3613,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X1,X2),sK6(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3592,c_59]) ).
tcf(c_3614,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X1,X2),sK6(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3592,c_58]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK7(sK0,image3(X1,X2,X3),sK6(sK0,sK2,X0))),sK7(sK0,image3(X1,X2,X3),sK6(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3592,c_68]) ).
tcf(c_3616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK7(sK0,image3(X1,X2,X3),sK6(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3592,c_67]) ).
tcf(c_3617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X1,X2,X3),sK6(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3592,c_66]) ).
tcf(c_3649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_56]) ).
tcf(c_3650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3612,c_59]) ).
tcf(c_3651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3612,c_58]) ).
tcf(c_3652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK7(X1,X2,sK7(sK0,X0,sK6(sK0,sK2,X4))),sK7(sK0,X0,sK6(sK0,sK2,X4)))
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3612,c_68]) ).
tcf(c_3653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK7(sK0,X0,sK6(sK0,sK2,X4))),X2)
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3612,c_67]) ).
tcf(c_3654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3612,c_66]) ).
tcf(c_3689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X1,X2),sK6(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ subset(X2,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3613,c_56]) ).
tcf(c_3690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X1,intersection(X2,X3)),sK6(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3613,c_59]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X1,intersection(X2,X3)),sK6(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3613,c_58]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X2,sK7(X2,X3,sK7(sK0,intersection(X1,image3(X2,X3,X4)),sK6(sK0,sK2,X0))),sK7(sK0,intersection(X1,image3(X2,X3,X4)),sK6(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3613,c_68]) ).
tcf(c_3693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X2,X3,sK7(sK0,intersection(X1,image3(X2,X3,X4)),sK6(sK0,sK2,X0))),X3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3613,c_67]) ).
tcf(c_3694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,intersection(X1,image3(X2,X3,X4)),sK6(sK0,sK2,X0)),X4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3613,c_66]) ).
tcf(c_3773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X1,X2),sK6(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ subset(X1,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3614,c_56]) ).
tcf(c_3774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(intersection(X1,X2),X3),sK6(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ member(X0,intersection(intersection(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_3614,c_59]) ).
tcf(c_3775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(intersection(X1,X2),X3),sK6(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ member(X0,intersection(intersection(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_3614,c_58]) ).
tcf(c_3776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK7(X1,X2,sK7(sK0,intersection(image3(X1,X2,X3),X4),sK6(sK0,sK2,X0))),sK7(sK0,intersection(image3(X1,X2,X3),X4),sK6(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,intersection(image3(X1,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_3614,c_68]) ).
tcf(c_3777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK7(sK0,intersection(image3(X1,X2,X3),X4),sK6(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ member(X0,intersection(image3(X1,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_3614,c_67]) ).
tcf(c_3778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,intersection(image3(X1,X2,X3),X4),sK6(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(image3(X1,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_3614,c_66]) ).
tcf(c_3829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X1,X2,X3),sK6(sK0,sK2,X0)),X4)
| ~ member(X0,sK1)
| ~ subset(X3,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3617,c_56]) ).
tcf(c_3830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X1,X2,intersection(X3,X4)),sK6(sK0,sK2,X0)),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,intersection(X3,X4))) ),
inference(superposition,[status(thm)],[c_3617,c_59]) ).
tcf(c_3831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X1,X2,intersection(X3,X4)),sK6(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,intersection(X3,X4))) ),
inference(superposition,[status(thm)],[c_3617,c_58]) ).
tcf(c_3832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X3,sK7(X3,X4,sK7(sK0,image3(X1,X2,image3(X3,X4,X5)),sK6(sK0,sK2,X0))),sK7(sK0,image3(X1,X2,image3(X3,X4,X5)),sK6(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_3617,c_68]) ).
tcf(c_3833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X3,X4,sK7(sK0,image3(X1,X2,image3(X3,X4,X5)),sK6(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_3617,c_67]) ).
tcf(c_3834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X1,X2,image3(X3,X4,X5)),sK6(sK0,sK2,X0)),X5)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_3617,c_66]) ).
tcf(c_3873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X3),X4),X5)
| member(sK5(intersection(intersection(X0,X3),X4),X5),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1577,c_1579]) ).
tcf(c_3874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5),X2) ),
inference(superposition,[status(thm)],[c_1639,c_1579]) ).
tcf(c_3875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5),X1) ),
inference(superposition,[status(thm)],[c_1720,c_1579]) ).
tcf(c_3876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,X0),X4),X5)
| member(sK5(intersection(intersection(X3,X0),X4),X5),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1912,c_1579]) ).
tcf(c_3877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5),X3) ),
inference(superposition,[status(thm)],[c_2010,c_1579]) ).
tcf(c_3878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5)
| member(sK5(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5),X2) ),
inference(superposition,[status(thm)],[c_2079,c_1579]) ).
tcf(c_3879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_2779,c_1579]) ).
tcf(c_3880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6),X4) ),
inference(superposition,[status(thm)],[c_2985,c_1579]) ).
tcf(c_3881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X3,X4,X0),X5),X6)
| member(sK5(intersection(image3(X3,X4,X0),X5),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_1579]) ).
tcf(c_3882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6)
| member(sK5(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6),X4) ),
inference(superposition,[status(thm)],[c_3324,c_1579]) ).
tcf(c_3883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6)
| member(sK5(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_3413,c_1579]) ).
tcf(c_3955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X3),X4),X5)
| member(sK5(intersection(intersection(X0,X3),X4),X5),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1577,c_1580]) ).
tcf(c_3956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5),X1) ),
inference(superposition,[status(thm)],[c_1639,c_1580]) ).
tcf(c_3957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5),X0) ),
inference(superposition,[status(thm)],[c_1720,c_1580]) ).
tcf(c_3958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,X0),X4),X5)
| member(sK5(intersection(intersection(X3,X0),X4),X5),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1912,c_1580]) ).
tcf(c_3959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5),X2) ),
inference(superposition,[status(thm)],[c_2010,c_1580]) ).
tcf(c_3960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5)
| member(sK5(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5),X1) ),
inference(superposition,[status(thm)],[c_2079,c_1580]) ).
tcf(c_3961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_2779,c_1580]) ).
tcf(c_3962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_2985,c_1580]) ).
tcf(c_3963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X3,X4,X0),X5),X6)
| member(sK5(intersection(image3(X3,X4,X0),X5),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_1580]) ).
tcf(c_3964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6)
| member(sK5(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_3324,c_1580]) ).
tcf(c_3965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6)
| member(sK5(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_3413,c_1580]) ).
tcf(c_4035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X0,X4)),X5)
| member(sK5(intersection(X3,intersection(X0,X4)),X5),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1577,c_1914]) ).
tcf(c_4036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5),X3) ),
inference(superposition,[status(thm)],[c_1639,c_1914]) ).
tcf(c_4037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5)
| member(sK5(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5),X2) ),
inference(superposition,[status(thm)],[c_1720,c_1914]) ).
tcf(c_4038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,X0)),X5)
| member(sK5(intersection(X3,intersection(X4,X0)),X5),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1912,c_1914]) ).
tcf(c_4039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5),X4) ),
inference(superposition,[status(thm)],[c_2010,c_1914]) ).
tcf(c_4040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5),X3) ),
inference(superposition,[status(thm)],[c_2079,c_1914]) ).
tcf(c_4041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6),X4) ),
inference(superposition,[status(thm)],[c_2779,c_1914]) ).
tcf(c_4042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6),X5) ),
inference(superposition,[status(thm)],[c_2985,c_1914]) ).
tcf(c_4043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,image3(X4,X5,X0)),X6)
| member(sK5(intersection(X3,image3(X4,X5,X0)),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_1914]) ).
tcf(c_4044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6),X5) ),
inference(superposition,[status(thm)],[c_3324,c_1914]) ).
tcf(c_4045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(intersection(X3,X4),X5))),X6)
| member(sK5(intersection(X0,image3(X1,X2,intersection(intersection(X3,X4),X5))),X6),X4) ),
inference(superposition,[status(thm)],[c_3413,c_1914]) ).
tcf(c_4174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X3),X4)
| member(sK5(intersection(X0,X3),X4),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1749,c_59]) ).
tcf(c_4222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X0,X4)),X5)
| member(sK5(intersection(X3,intersection(X0,X4)),X5),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1577,c_1915]) ).
tcf(c_4223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5),X2) ),
inference(superposition,[status(thm)],[c_1639,c_1915]) ).
tcf(c_4224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5)
| member(sK5(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5),X1) ),
inference(superposition,[status(thm)],[c_1720,c_1915]) ).
tcf(c_4225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,X0)),X5)
| member(sK5(intersection(X3,intersection(X4,X0)),X5),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1912,c_1915]) ).
tcf(c_4226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5),X3) ),
inference(superposition,[status(thm)],[c_2010,c_1915]) ).
tcf(c_4227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5),X2) ),
inference(superposition,[status(thm)],[c_2079,c_1915]) ).
tcf(c_4228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_2779,c_1915]) ).
tcf(c_4229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6),X4) ),
inference(superposition,[status(thm)],[c_2985,c_1915]) ).
tcf(c_4230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,image3(X4,X5,X0)),X6)
| member(sK5(intersection(X3,image3(X4,X5,X0)),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_1915]) ).
tcf(c_4231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6),X4) ),
inference(superposition,[status(thm)],[c_3324,c_1915]) ).
tcf(c_4232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(intersection(X3,X4),X5))),X6)
| member(sK5(intersection(X0,image3(X1,X2,intersection(intersection(X3,X4),X5))),X6),X3) ),
inference(superposition,[status(thm)],[c_3413,c_1915]) ).
tcf(c_4300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK7(sK0,image3(X1,X2,X3),sK6(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ subset(X2,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3616,c_56]) ).
tcf(c_4301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,intersection(X2,X3),sK7(sK0,image3(X1,intersection(X2,X3),X4),sK6(sK0,sK2,X0))),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,intersection(X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_3616,c_59]) ).
tcf(c_4302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,intersection(X2,X3),sK7(sK0,image3(X1,intersection(X2,X3),X4),sK6(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,intersection(X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_3616,c_58]) ).
tcf(c_4303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK7(X2,X3,sK7(X1,image3(X2,X3,X4),sK7(sK0,image3(X1,image3(X2,X3,X4),X5),sK6(sK0,sK2,X0)))),sK7(X1,image3(X2,X3,X4),sK7(sK0,image3(X1,image3(X2,X3,X4),X5),sK6(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_3616,c_68]) ).
tcf(c_4304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X2,X3,sK7(X1,image3(X2,X3,X4),sK7(sK0,image3(X1,image3(X2,X3,X4),X5),sK6(sK0,sK2,X0)))),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_3616,c_67]) ).
tcf(c_4305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X1,image3(X2,X3,X4),sK7(sK0,image3(X1,image3(X2,X3,X4),X5),sK6(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_3616,c_66]) ).
tcf(c_4377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ subset(X1,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_3113,c_1463]) ).
tcf(c_4378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK6(sK0,sK2,X0),intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3324,c_1463]) ).
tcf(c_4379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK6(sK0,sK2,X0),intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3413,c_1463]) ).
tcf(c_4407,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X1,sK6(sK0,sK2,X0)),sK6(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_356,c_1464]) ).
tcf(c_4427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X1),image3(sK0,X2,X3))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,sK2,X1),X3)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_4407,c_65]) ).
tcf(c_4428,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK2,X1))) = sK6(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,sK2,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_4407,c_1013]) ).
tcf(c_4429,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,sK2,X1),sK2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_4407,c_327]) ).
tcf(c_4430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X0,sK6(sK0,sK2,X1)) = X2 )
| ~ member(X2,sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,sK2,X1),sK2)
| ~ apply(sK0,X2,sK6(sK0,sK2,X1))
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_4407,c_300]) ).
tcf(c_4431,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,sK6(sK0,sK2,X1)) = X1 )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_4407,c_905]) ).
tcf(c_4500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4429,c_356]) ).
tcf(c_4519,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK2,X1))) = sK6(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(sK6(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_347,c_4500]) ).
tcf(c_4587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X0,sK6(sK0,sK2,X1)) = X2 )
| ~ member(X2,sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ apply(sK0,X2,sK6(sK0,sK2,X1))
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4430,c_356]) ).
tcf(c_4606,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK1,sK6(sK0,sK2,X1)) = X0 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_3592,c_4587]) ).
tcf(c_4607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X2,sK6(sK0,sK2,X1)) = X0 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ subset(X2,sK1)
| ~ member(X1,X2)
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_3612,c_4587]) ).
tcf(c_4608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,intersection(X2,sK1),sK6(sK0,sK2,X1)) = X0 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ member(X1,intersection(X2,sK1))
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_3613,c_4587]) ).
tcf(c_4609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,intersection(sK1,X2),sK6(sK0,sK2,X1)) = X0 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ member(X1,intersection(sK1,X2))
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_4587]) ).
tcf(c_4610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK7(sK0,image3(X2,X3,sK1),sK6(sK0,sK2,X1)) = X0 )
| ~ member(X1,sK1)
| ~ member(X0,sK1)
| ~ member(X1,image3(X2,X3,sK1))
| ~ apply(sK0,X0,sK6(sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_3617,c_4587]) ).
tcf(c_4655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,X4),X5),X6)
| member(sK5(intersection(intersection(X0,X4),X5),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_1583]) ).
tcf(c_4656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_1639,c_1583]) ).
tcf(c_4657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_1720,c_1583]) ).
tcf(c_4658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X4,X0),X5),X6)
| member(sK5(intersection(intersection(X4,X0),X5),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_1583]) ).
tcf(c_4659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6),X4) ),
inference(superposition,[status(thm)],[c_2010,c_1583]) ).
tcf(c_4660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_2079,c_1583]) ).
tcf(c_4661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X0,X1,image3(X2,X3,X4)),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X0,X1,image3(X2,X3,X4)),X5),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_2779,c_1583]) ).
tcf(c_4662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,X5))),X6),X7)
| member(sK5(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,X5))),X6),X7),X5) ),
inference(superposition,[status(thm)],[c_2985,c_1583]) ).
tcf(c_4663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X4,X5,X0),X6),X7)
| member(sK5(intersection(image3(X4,X5,X0),X6),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_1583]) ).
tcf(c_4664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,X5))),X6),X7)
| member(sK5(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,X5))),X6),X7),X5) ),
inference(superposition,[status(thm)],[c_3324,c_1583]) ).
tcf(c_4665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6),X7)
| member(sK5(intersection(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_3413,c_1583]) ).
tcf(c_4709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,intersection(X0,X5)),X6)
| member(sK5(intersection(X4,intersection(X0,X5)),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_1918]) ).
tcf(c_4710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(X1,image3(X2,X3,X4)),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(X1,image3(X2,X3,X4)),X5)),X6),X4) ),
inference(superposition,[status(thm)],[c_1639,c_1918]) ).
tcf(c_4711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(image3(X1,X2,X3),X4),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(image3(X1,X2,X3),X4),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_1720,c_1918]) ).
tcf(c_4712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,intersection(X5,X0)),X6)
| member(sK5(intersection(X4,intersection(X5,X0)),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_1918]) ).
tcf(c_4713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,X5)))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,X5)))),X6),X5) ),
inference(superposition,[status(thm)],[c_2010,c_1918]) ).
tcf(c_4714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(image3(X2,X3,X4),X5))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(image3(X2,X3,X4),X5))),X6),X4) ),
inference(superposition,[status(thm)],[c_2079,c_1918]) ).
tcf(c_4715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,X5)),X6)),X7)
| member(sK5(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,X5)),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_2779,c_1918]) ).
tcf(c_4716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,X6)))),X7)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,X6)))),X7),X6) ),
inference(superposition,[status(thm)],[c_2985,c_1918]) ).
tcf(c_4717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,image3(X5,X6,X0)),X7)
| member(sK5(intersection(X4,image3(X5,X6,X0)),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_1918]) ).
tcf(c_4718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,X6)))),X7)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,X6)))),X7),X6) ),
inference(superposition,[status(thm)],[c_3324,c_1918]) ).
tcf(c_4719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(image3(X3,X4,X5),X6))),X7)
| member(sK5(intersection(X0,image3(X1,X2,intersection(image3(X3,X4,X5),X6))),X7),X5) ),
inference(superposition,[status(thm)],[c_3413,c_1918]) ).
tcf(c_4757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(image3(X0,X1,image3(X2,X3,X4)),X4),
inference(superposition,[status(thm)],[c_1243,c_54]) ).
tcf(c_4758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,image3(X4,X5,X0)),X6)
| member(sK5(image3(X2,X3,image3(X4,X5,X0)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1243,c_56]) ).
tcf(c_4759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6),X5) ),
inference(superposition,[status(thm)],[c_1243,c_59]) ).
tcf(c_4760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6),X4) ),
inference(superposition,[status(thm)],[c_1243,c_58]) ).
tcf(c_4761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),sK5(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)) ),
inference(superposition,[status(thm)],[c_1243,c_68]) ).
tcf(c_4762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| member(sK7(X0,X1,sK5(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1243,c_67]) ).
tcf(c_4763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7)
| member(sK5(image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1243,c_66]) ).
tcf(c_4790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_2293]) ).
tcf(c_4791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_2222]) ).
tcf(c_4793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_1345]) ).
tcf(c_4794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_1284]) ).
tcf(c_4795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_994]) ).
tcf(c_4796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,image3(X1,X2,image3(X3,X4,intersection(X5,X6)))),X7)
| member(sK5(intersection(X0,image3(X1,X2,image3(X3,X4,intersection(X5,X6)))),X7),X5) ),
inference(superposition,[status(thm)],[c_4757,c_1915]) ).
tcf(c_4797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,image3(X1,X2,image3(X3,X4,intersection(X5,X6)))),X7)
| member(sK5(intersection(X0,image3(X1,X2,image3(X3,X4,intersection(X5,X6)))),X7),X6) ),
inference(superposition,[status(thm)],[c_4757,c_1914]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6),X7)
| member(sK5(intersection(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_4757,c_1580]) ).
tcf(c_4799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6),X7)
| member(sK5(intersection(image3(X0,X1,image3(X2,X3,intersection(X4,X5))),X6),X7),X5) ),
inference(superposition,[status(thm)],[c_4757,c_1579]) ).
tcf(c_4802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,image3(X1,X2,image3(X3,X4,image3(X5,X6,X7)))),X8)
| member(sK5(intersection(X0,image3(X1,X2,image3(X3,X4,image3(X5,X6,X7)))),X8),X7) ),
inference(superposition,[status(thm)],[c_4757,c_1918]) ).
tcf(c_4803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7),X8)
| member(sK5(intersection(image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7),X8),X6) ),
inference(superposition,[status(thm)],[c_4757,c_1583]) ).
tcf(c_4805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8)),sK5(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8)) ),
inference(superposition,[status(thm)],[c_4757,c_1916]) ).
tcf(c_4806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)),sK5(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)) ),
inference(superposition,[status(thm)],[c_4757,c_1581]) ).
tcf(c_4809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X0),X3)
| ~ member(X0,sK1)
| ~ member(X0,X4)
| ~ member(sK6(sK0,sK2,X0),image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_4757,c_1463]) ).
tcf(c_4932,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,X0,sK6(sK0,sK2,X1))) = sK6(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4519,c_356]) ).
tcf(c_4945,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))) = sK6(sK0,sK2,X0) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_4932]) ).
tcf(c_4946,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))) = sK6(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_4932]) ).
tcf(c_4947,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))) = sK6(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_4932]) ).
tcf(c_4948,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))) = sK6(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_4932]) ).
tcf(c_4949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))) = sK6(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_4932]) ).
tcf(c_4974,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_55,c_4945]) ).
tcf(c_4975,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))) = sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)) ) ),
inference(superposition,[status(thm)],[c_933,c_4945]) ).
tcf(c_4976,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))) = sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)) ) ),
inference(superposition,[status(thm)],[c_941,c_4945]) ).
tcf(c_4977,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))) = sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_948,c_4945]) ).
tcf(c_4978,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(X0,X1)))) = sK6(sK0,sK2,sK5(X0,X1)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_4945]) ).
tcf(c_4979,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) = sK6(sK0,sK2,sK6(sK0,sK2,X0)) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_4945]) ).
tcf(c_4980,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) = sK6(sK0,sK2,sK6(sK0,sK2,X0)) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_4945]) ).
tcf(c_4981,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) = sK6(sK0,sK2,sK6(sK0,sK2,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_4945]) ).
tcf(c_4982,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))) = sK6(sK0,sK2,sK5(intersection(X0,X1),X2)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_4945]) ).
tcf(c_4983,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))) = sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)) ) ),
inference(superposition,[status(thm)],[c_973,c_4945]) ).
tcf(c_4984,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))) = sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)) ) ),
inference(superposition,[status(thm)],[c_974,c_4945]) ).
tcf(c_4985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_975,c_4945]) ).
tcf(c_4986,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) = sK6(sK0,sK2,sK6(sK0,sK2,X0)) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_4945]) ).
tcf(c_4987,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) = sK6(sK0,sK2,sK6(sK0,sK2,X0)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_4945]) ).
tcf(c_4988,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))) = sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_1109,c_4945]) ).
tcf(c_4989,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))) = sK6(sK0,sK2,sK5(intersection(X1,X0),X2)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_4945]) ).
tcf(c_4990,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)) ) ),
inference(superposition,[status(thm)],[c_1167,c_4945]) ).
tcf(c_4991,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)) ) ),
inference(superposition,[status(thm)],[c_1168,c_4945]) ).
tcf(c_4992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))) = sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)) ) ),
inference(superposition,[status(thm)],[c_1171,c_4945]) ).
tcf(c_4993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))) = sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_4945]) ).
tcf(c_4994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))) = sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)) ) ),
inference(superposition,[status(thm)],[c_1239,c_4945]) ).
tcf(c_4995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))) = sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_1240,c_4945]) ).
tcf(c_4996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))) = sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1243,c_4945]) ).
tcf(c_4997,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK3,X0)))) = sK6(sK0,sK2,sK5(sK3,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_2184,c_4945]) ).
tcf(c_4998,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK4,X0)))) = sK6(sK0,sK2,sK5(sK4,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_2185,c_4945]) ).
tcf(c_5003,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_4945]) ).
tcf(c_5004,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_4945]) ).
tcf(c_5005,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_4945]) ).
tcf(c_5006,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_4945]) ).
tcf(c_5007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_4945]) ).
tcf(c_5008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_4945]) ).
tcf(c_5023,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK4,X0)))) = sK6(sK0,sK2,sK5(sK4,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4998,c_927]) ).
tcf(c_5026,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK3,X0)))) = sK6(sK0,sK2,sK5(sK3,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4997,c_927]) ).
tcf(c_5259,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_4986]) ).
tcf(c_5260,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_4986]) ).
tcf(c_5261,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_4986]) ).
tcf(c_5262,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_4986]) ).
tcf(c_5263,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_4986]) ).
tcf(c_5264,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_4986]) ).
tcf(c_5265,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_4986]) ).
tcf(c_5266,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_4986]) ).
tcf(c_5267,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_4986]) ).
tcf(c_5268,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_4986]) ).
tcf(c_5269,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_4986]) ).
tcf(c_5270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_4986]) ).
tcf(c_5271,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_4986]) ).
tcf(c_5272,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_4986]) ).
tcf(c_5273,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_4986]) ).
tcf(c_5274,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_4986]) ).
tcf(c_5275,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_4986]) ).
tcf(c_5276,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_4986]) ).
tcf(c_5277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_4986]) ).
tcf(c_5278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_4986]) ).
tcf(c_5279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_4986]) ).
tcf(c_5280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_4986]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_4986]) ).
tcf(c_5282,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_4986]) ).
tcf(c_5283,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_4986]) ).
tcf(c_5288,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_4986]) ).
tcf(c_5289,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_4986]) ).
tcf(c_5290,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_4986]) ).
tcf(c_5291,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_4986]) ).
tcf(c_5292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_4986]) ).
tcf(c_5293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_4986]) ).
tcf(c_5316,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5283,c_927]) ).
tcf(c_5320,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5282,c_927]) ).
tcf(c_5482,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X2,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2729,c_54]) ).
tcf(c_5534,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_4987]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_4987]) ).
tcf(c_5536,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_4987]) ).
tcf(c_5537,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_4987]) ).
tcf(c_5538,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_4987]) ).
tcf(c_5540,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_4987]) ).
tcf(c_5541,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_4987]) ).
tcf(c_5542,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_4987]) ).
tcf(c_5543,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_4987]) ).
tcf(c_5544,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_4987]) ).
tcf(c_5545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_4987]) ).
tcf(c_5547,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_4987]) ).
tcf(c_5548,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_4987]) ).
tcf(c_5549,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_4987]) ).
tcf(c_5550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_4987]) ).
tcf(c_5551,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_4987]) ).
tcf(c_5552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_4987]) ).
tcf(c_5553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_4987]) ).
tcf(c_5554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_4987]) ).
tcf(c_5555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_4987]) ).
tcf(c_5556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_4987]) ).
tcf(c_5557,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_4987]) ).
tcf(c_5558,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_4987]) ).
tcf(c_5563,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_4987]) ).
tcf(c_5564,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_4987]) ).
tcf(c_5565,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_4987]) ).
tcf(c_5566,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_4987]) ).
tcf(c_5567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_4987]) ).
tcf(c_5568,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_4987]) ).
tcf(c_5591,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5558,c_927]) ).
tcf(c_5595,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5557,c_927]) ).
tcf(c_5744,plain,
( ~ subset(image3(sK0,sK4,sK2),image3(sK0,intersection(sK3,sK4),sK2))
| ~ subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(superposition,[status(thm)],[c_5482,c_290]) ).
tcf(c_5848,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_5271]) ).
tcf(c_5849,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_5271]) ).
tcf(c_5850,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_5271]) ).
tcf(c_5851,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_5271]) ).
tcf(c_5852,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_5271]) ).
tcf(c_5853,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_5271]) ).
tcf(c_5854,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_5271]) ).
tcf(c_5855,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_5271]) ).
tcf(c_5856,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_5271]) ).
tcf(c_5857,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_5271]) ).
tcf(c_5858,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_5271]) ).
tcf(c_5859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_5271]) ).
tcf(c_5860,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_5271]) ).
tcf(c_5861,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_5271]) ).
tcf(c_5862,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_5271]) ).
tcf(c_5863,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_5271]) ).
tcf(c_5864,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_5271]) ).
tcf(c_5865,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_5271]) ).
tcf(c_5866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_5271]) ).
tcf(c_5867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_5271]) ).
tcf(c_5868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_5271]) ).
tcf(c_5869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_5271]) ).
tcf(c_5870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_5271]) ).
tcf(c_5871,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_5271]) ).
tcf(c_5872,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_5271]) ).
tcf(c_5877,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_5271]) ).
tcf(c_5878,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_5271]) ).
tcf(c_5879,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_5271]) ).
tcf(c_5880,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_5271]) ).
tcf(c_5881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_5271]) ).
tcf(c_5882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_5271]) ).
tcf(c_5905,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5872,c_927]) ).
tcf(c_5909,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5871,c_927]) ).
tcf(c_6057,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_5547]) ).
tcf(c_6058,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_5547]) ).
tcf(c_6059,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_5547]) ).
tcf(c_6060,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_5547]) ).
tcf(c_6061,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_5547]) ).
tcf(c_6063,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_5547]) ).
tcf(c_6064,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_5547]) ).
tcf(c_6065,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_5547]) ).
tcf(c_6066,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_5547]) ).
tcf(c_6067,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_5547]) ).
tcf(c_6068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_5547]) ).
tcf(c_6070,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_5547]) ).
tcf(c_6071,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_5547]) ).
tcf(c_6072,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_5547]) ).
tcf(c_6073,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_5547]) ).
tcf(c_6074,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_5547]) ).
tcf(c_6075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_5547]) ).
tcf(c_6076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_5547]) ).
tcf(c_6077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_5547]) ).
tcf(c_6078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_5547]) ).
tcf(c_6079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_5547]) ).
tcf(c_6080,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_5547]) ).
tcf(c_6081,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_5547]) ).
tcf(c_6086,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_5547]) ).
tcf(c_6087,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_5547]) ).
tcf(c_6088,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_5547]) ).
tcf(c_6089,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_5547]) ).
tcf(c_6090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_5547]) ).
tcf(c_6091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_5547]) ).
tcf(c_6114,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6081,c_927]) ).
tcf(c_6118,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6080,c_927]) ).
tcf(c_6402,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_5860]) ).
tcf(c_6403,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_5860]) ).
tcf(c_6404,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_5860]) ).
tcf(c_6405,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_5860]) ).
tcf(c_6406,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_5860]) ).
tcf(c_6407,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_5860]) ).
tcf(c_6408,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_5860]) ).
tcf(c_6409,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_5860]) ).
tcf(c_6410,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_5860]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_5860]) ).
tcf(c_6412,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_5860]) ).
tcf(c_6413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_5860]) ).
tcf(c_6414,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_5860]) ).
tcf(c_6415,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_5860]) ).
tcf(c_6416,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_5860]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_5860]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_5860]) ).
tcf(c_6419,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_5860]) ).
tcf(c_6420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_5860]) ).
tcf(c_6421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_5860]) ).
tcf(c_6422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_5860]) ).
tcf(c_6423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_5860]) ).
tcf(c_6424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_5860]) ).
tcf(c_6425,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_5860]) ).
tcf(c_6426,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_5860]) ).
tcf(c_6431,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_5860]) ).
tcf(c_6432,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_5860]) ).
tcf(c_6433,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_5860]) ).
tcf(c_6434,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_5860]) ).
tcf(c_6435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_5860]) ).
tcf(c_6436,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_5860]) ).
tcf(c_6459,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6426,c_927]) ).
tcf(c_6463,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6425,c_927]) ).
tcf(c_6698,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK4) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,X4),X5),X6),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(X0,X4),X5),X6),X7)),sK5(intersection(intersection(intersection(X0,X4),X5),X6),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_2644]) ).
tcf(c_6719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7)),sK5(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_1639,c_2644]) ).
tcf(c_6720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7)),sK5(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_1720,c_2644]) ).
tcf(c_6721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X4,X0),X5),X6),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(X4,X0),X5),X6),X7)),sK5(intersection(intersection(intersection(X4,X0),X5),X6),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_2644]) ).
tcf(c_6722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7)),sK5(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_2010,c_2644]) ).
tcf(c_6723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7)),sK5(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7)) ),
inference(superposition,[status(thm)],[c_2079,c_2644]) ).
tcf(c_6724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_2779,c_2644]) ).
tcf(c_6725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8)),sK5(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_2985,c_2644]) ).
tcf(c_6726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X4,X5,X0),X6),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(image3(X4,X5,X0),X6),X7),X8)),sK5(intersection(intersection(image3(X4,X5,X0),X6),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_2644]) ).
tcf(c_6727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8)),sK5(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_3324,c_2644]) ).
tcf(c_6728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8)),sK5(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_3413,c_2644]) ).
tcf(c_6729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8),X9)),sK5(intersection(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_4757,c_2644]) ).
tcf(c_6775,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_52,c_3014]) ).
tcf(c_6776,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_53,c_3014]) ).
tcf(c_6830,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6775,c_58]) ).
tcf(c_6874,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_52,c_1578]) ).
tcf(c_6875,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_53,c_1578]) ).
tcf(c_6880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X3),X4),X5)
| member(sK5(intersection(intersection(X0,X3),X4),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1577,c_1578]) ).
tcf(c_6881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X2,X0),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X2,X0),X3),X4),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_1578]) ).
tcf(c_6882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,X2),X3),X4),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1720,c_1578]) ).
tcf(c_6883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,X0),X4),X5)
| member(sK5(intersection(intersection(X3,X0),X4),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1912,c_1578]) ).
tcf(c_6884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X2,intersection(X3,X0)),X4),X5)
| member(sK5(intersection(intersection(X2,intersection(X3,X0)),X4),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2010,c_1578]) ).
tcf(c_6885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X2,intersection(X0,X3)),X4),X5)
| member(sK5(intersection(intersection(X2,intersection(X0,X3)),X4),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2079,c_1578]) ).
tcf(c_6886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X2,X3,X0),X4),X5),X6)
| member(sK5(intersection(intersection(image3(X2,X3,X0),X4),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2779,c_1578]) ).
tcf(c_6887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,X0)),X5),X6)
| member(sK5(intersection(intersection(X2,image3(X3,X4,X0)),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2985,c_1578]) ).
tcf(c_6888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X3,X4,X0),X5),X6)
| member(sK5(intersection(image3(X3,X4,X0),X5),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3113,c_1578]) ).
tcf(c_6889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,X0)),X5),X6)
| member(sK5(intersection(image3(X2,X3,intersection(X4,X0)),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3324,c_1578]) ).
tcf(c_6890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X2,X3,intersection(X0,X4)),X5),X6)
| member(sK5(intersection(image3(X2,X3,intersection(X0,X4)),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3413,c_1578]) ).
tcf(c_6891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X2,X3,image3(X4,X5,X0)),X6),X7)
| member(sK5(intersection(image3(X2,X3,image3(X4,X5,X0)),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4757,c_1578]) ).
tcf(c_6976,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6874,c_54]) ).
tcf(c_6977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6874,c_56]) ).
tcf(c_6978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6874,c_59]) ).
tcf(c_6979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6874,c_58]) ).
tcf(c_6980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(sK3,X3),X4)),sK5(intersection(sK3,X3),X4))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6874,c_68]) ).
tcf(c_6981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK7(X0,X1,sK5(intersection(sK3,X3),X4)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6874,c_67]) ).
tcf(c_6982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6874,c_66]) ).
tcf(c_6983,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_5860]) ).
tcf(c_6984,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_5547]) ).
tcf(c_6985,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_5271]) ).
tcf(c_6986,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_4987]) ).
tcf(c_6987,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_4986]) ).
tcf(c_6988,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) = sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_6874,c_4945]) ).
tcf(c_7010,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) = sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6988,c_927]) ).
tcf(c_7013,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6987,c_927]) ).
tcf(c_7017,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6986,c_927]) ).
tcf(c_7021,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6985,c_927]) ).
tcf(c_7025,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6984,c_927]) ).
tcf(c_7029,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6983,c_927]) ).
tcf(c_7076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X2),X3),X4)
| member(sK5(intersection(intersection(sK3,X2),X3),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6976,c_1578]) ).
tcf(c_7077,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_2293]) ).
tcf(c_7078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_2222]) ).
tcf(c_7080,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_1345]) ).
tcf(c_7081,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_1284]) ).
tcf(c_7082,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_994]) ).
tcf(c_7083,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,sK3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_6976,c_1094]) ).
tcf(c_7084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK3,X3)),X4)
| member(sK5(intersection(X2,intersection(sK3,X3)),X4),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6976,c_1915]) ).
tcf(c_7085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK3,X3)),X4)
| member(sK5(intersection(X2,intersection(sK3,X3)),X4),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6976,c_1914]) ).
tcf(c_7086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X2),X3),X4)
| member(sK5(intersection(intersection(sK3,X2),X3),X4),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6976,c_1580]) ).
tcf(c_7087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X2),X3),X4)
| member(sK5(intersection(intersection(sK3,X2),X3),X4),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6976,c_1579]) ).
tcf(c_7090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(sK3,X3),X4),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(sK3,X3),X4),X5),X6)),sK5(intersection(intersection(intersection(sK3,X3),X4),X5),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_2644]) ).
tcf(c_7091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK3,X4)),X5)
| member(sK5(intersection(X3,intersection(sK3,X4)),X5),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_1918]) ).
tcf(c_7092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK3,X3),X4),X5)
| member(sK5(intersection(intersection(sK3,X3),X4),X5),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_1583]) ).
tcf(c_7094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK3,X4)),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(sK3,X4)),X5)),sK5(intersection(X3,intersection(sK3,X4)),X5))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_1916]) ).
tcf(c_7095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK3,X3),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(sK3,X3),X4),X5)),sK5(intersection(intersection(sK3,X3),X4),X5))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_1581]) ).
tcf(c_7179,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6776,c_56]) ).
tcf(c_7181,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6776,c_58]) ).
tcf(c_7219,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_54]) ).
tcf(c_7220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6875,c_56]) ).
tcf(c_7221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6875,c_59]) ).
tcf(c_7222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6875,c_58]) ).
tcf(c_7223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(sK4,X3),X4)),sK5(intersection(sK4,X3),X4))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6875,c_68]) ).
tcf(c_7224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK7(X0,X1,sK5(intersection(sK4,X3),X4)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6875,c_67]) ).
tcf(c_7225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6875,c_66]) ).
tcf(c_7226,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_5860]) ).
tcf(c_7227,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_5547]) ).
tcf(c_7228,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_5271]) ).
tcf(c_7229,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_4987]) ).
tcf(c_7230,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_4986]) ).
tcf(c_7231,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) = sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_6875,c_4945]) ).
tcf(c_7253,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) = sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7231,c_927]) ).
tcf(c_7256,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7230,c_927]) ).
tcf(c_7260,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7229,c_927]) ).
tcf(c_7264,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7228,c_927]) ).
tcf(c_7268,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7227,c_927]) ).
tcf(c_7272,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7226,c_927]) ).
tcf(c_7350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7219,c_1578]) ).
tcf(c_7351,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_2293]) ).
tcf(c_7352,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_2222]) ).
tcf(c_7354,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_1345]) ).
tcf(c_7355,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_1284]) ).
tcf(c_7356,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_994]) ).
tcf(c_7357,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,sK4)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_7219,c_1094]) ).
tcf(c_7358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_7219,c_1915]) ).
tcf(c_7359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_7219,c_1914]) ).
tcf(c_7360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_7219,c_1580]) ).
tcf(c_7361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_7219,c_1579]) ).
tcf(c_7364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(sK4,X3),X4),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(sK4,X3),X4),X5),X6)),sK5(intersection(intersection(intersection(sK4,X3),X4),X5),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_2644]) ).
tcf(c_7365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK4,X4)),X5)
| member(sK5(intersection(X3,intersection(sK4,X4)),X5),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_1918]) ).
tcf(c_7366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK4,X3),X4),X5)
| member(sK5(intersection(intersection(sK4,X3),X4),X5),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_1583]) ).
tcf(c_7368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK4,X4)),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(sK4,X4)),X5)),sK5(intersection(X3,intersection(sK4,X4)),X5))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_1916]) ).
tcf(c_7369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK4,X3),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(sK4,X3),X4),X5)),sK5(intersection(intersection(sK4,X3),X4),X5))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_1581]) ).
tcf(c_7636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X2)
| ~ subset(sK1,X2)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_55,c_7083]) ).
tcf(c_7637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,sK3)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_7083]) ).
tcf(c_7638,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_356,c_7083]) ).
tcf(c_7639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X3)
| ~ subset(sK1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_933,c_7083]) ).
tcf(c_7641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),X4)
| ~ subset(sK1,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_948,c_7083]) ).
tcf(c_7642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X3)
| ~ subset(sK1,X3)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_958,c_7083]) ).
tcf(c_7643,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_1081,c_7083]) ).
tcf(c_7644,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_1069,c_7083]) ).
tcf(c_7645,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_959,c_7083]) ).
tcf(c_7646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X4)
| ~ subset(sK1,X4)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_972,c_7083]) ).
tcf(c_7647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X4)
| ~ subset(sK1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_973,c_7083]) ).
tcf(c_7649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_975,c_7083]) ).
tcf(c_7652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4)
| ~ subset(sK1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK3) ),
inference(superposition,[status(thm)],[c_1109,c_7083]) ).
tcf(c_7653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X3)
| ~ member(X0,sK1)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK3)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_7083]) ).
tcf(c_7654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X4)
| ~ subset(sK1,X4)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_1166,c_7083]) ).
tcf(c_7655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X4)
| ~ subset(sK1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_1167,c_7083]) ).
tcf(c_7657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1171,c_7083]) ).
tcf(c_7658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1238,c_7083]) ).
tcf(c_7659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1239,c_7083]) ).
tcf(c_7661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK3) ),
inference(superposition,[status(thm)],[c_1243,c_7083]) ).
tcf(c_7662,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK5(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_2184,c_7083]) ).
tcf(c_7663,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK5(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_2185,c_7083]) ).
tcf(c_7668,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2)
| ~ member(X1,sK1)
| ~ subset(sK1,X2)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3592,c_7083]) ).
tcf(c_7669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X3)
| ~ member(X1,sK1)
| ~ subset(sK1,X3)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3612,c_7083]) ).
tcf(c_7670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),X3)
| ~ member(X2,sK1)
| ~ subset(sK1,X3)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK3) ),
inference(superposition,[status(thm)],[c_3613,c_7083]) ).
tcf(c_7672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),X4)
| ~ member(X3,sK1)
| ~ subset(sK1,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK3) ),
inference(superposition,[status(thm)],[c_3616,c_7083]) ).
tcf(c_7673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),X4)
| ~ member(X3,sK1)
| ~ subset(sK1,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK3) ),
inference(superposition,[status(thm)],[c_3617,c_7083]) ).
tcf(c_7674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_6874,c_7083]) ).
tcf(c_7675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_6875,c_7083]) ).
tcf(c_7881,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_52,c_7179]) ).
tcf(c_7948,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X2)
| ~ subset(sK1,X2)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_55,c_7357]) ).
tcf(c_7949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,sK4)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_7357]) ).
tcf(c_7950,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ~ member(X0,sK1)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_356,c_7357]) ).
tcf(c_7951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X3)
| ~ subset(sK1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_933,c_7357]) ).
tcf(c_7953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),X4)
| ~ subset(sK1,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_948,c_7357]) ).
tcf(c_7954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X3)
| ~ subset(sK1,X3)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_958,c_7357]) ).
tcf(c_7955,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_1081,c_7357]) ).
tcf(c_7956,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_1069,c_7357]) ).
tcf(c_7957,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_959,c_7357]) ).
tcf(c_7958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X4)
| ~ subset(sK1,X4)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_972,c_7357]) ).
tcf(c_7959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X4)
| ~ subset(sK1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_973,c_7357]) ).
tcf(c_7961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_975,c_7357]) ).
tcf(c_7964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4)
| ~ subset(sK1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK4) ),
inference(superposition,[status(thm)],[c_1109,c_7357]) ).
tcf(c_7965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X3)
| ~ member(X0,sK1)
| ~ subset(sK1,X3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK4)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_7357]) ).
tcf(c_7966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),X4)
| ~ subset(sK1,X4)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_1166,c_7357]) ).
tcf(c_7967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X4)
| ~ subset(sK1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_1167,c_7357]) ).
tcf(c_7969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_1171,c_7357]) ).
tcf(c_7970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1238,c_7357]) ).
tcf(c_7971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_1239,c_7357]) ).
tcf(c_7973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK4) ),
inference(superposition,[status(thm)],[c_1243,c_7357]) ).
tcf(c_7974,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK5(sK3,X0),sK4) ),
inference(superposition,[status(thm)],[c_2184,c_7357]) ).
tcf(c_7975,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ member(sK5(sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_2185,c_7357]) ).
tcf(c_7980,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2)
| ~ member(X1,sK1)
| ~ subset(sK1,X2)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK4) ),
inference(superposition,[status(thm)],[c_3592,c_7357]) ).
tcf(c_7981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X3)
| ~ member(X1,sK1)
| ~ subset(sK1,X3)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK4) ),
inference(superposition,[status(thm)],[c_3612,c_7357]) ).
tcf(c_7982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),X3)
| ~ member(X2,sK1)
| ~ subset(sK1,X3)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK4) ),
inference(superposition,[status(thm)],[c_3613,c_7357]) ).
tcf(c_7984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),X4)
| ~ member(X3,sK1)
| ~ subset(sK1,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK4) ),
inference(superposition,[status(thm)],[c_3616,c_7357]) ).
tcf(c_7985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),X4)
| ~ member(X3,sK1)
| ~ subset(sK1,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK4) ),
inference(superposition,[status(thm)],[c_3617,c_7357]) ).
tcf(c_7986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_6874,c_7357]) ).
tcf(c_7987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_6875,c_7357]) ).
tcf(c_8208,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_7881,c_56]) ).
tcf(c_8269,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_52,c_6977]) ).
tcf(c_8270,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_53,c_6977]) ).
tcf(c_8275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X2)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_6977]) ).
tcf(c_8276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_6977]) ).
tcf(c_8277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X0)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_6977]) ).
tcf(c_8278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X2)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_6977]) ).
tcf(c_8279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_6977]) ).
tcf(c_8280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_6977]) ).
tcf(c_8281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X2)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_6977]) ).
tcf(c_8282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_6977]) ).
tcf(c_8283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_6977]) ).
tcf(c_8284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_6977]) ).
tcf(c_8285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X2)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_6977]) ).
tcf(c_8286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_6977]) ).
tcf(c_8287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_6977]) ).
tcf(c_8288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_6977]) ).
tcf(c_8452,plain,
! [X0: $i] :
( subset(intersection(sK3,X0),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_8269,c_54]) ).
tcf(c_8453,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8269,c_56]) ).
tcf(c_8454,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_8269,c_7357]) ).
tcf(c_8455,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_8269,c_7083]) ).
tcf(c_8456,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8269,c_5860]) ).
tcf(c_8457,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8269,c_5547]) ).
tcf(c_8458,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8269,c_5271]) ).
tcf(c_8459,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8269,c_4987]) ).
tcf(c_8460,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8269,c_4986]) ).
tcf(c_8543,plain,
! [X0: $i] :
( subset(intersection(sK3,X0),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_8270,c_54]) ).
tcf(c_8544,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8270,c_56]) ).
tcf(c_8545,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X2)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_8270,c_7357]) ).
tcf(c_8546,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X2)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_8270,c_7083]) ).
tcf(c_8547,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8270,c_5860]) ).
tcf(c_8548,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8270,c_5547]) ).
tcf(c_8549,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8270,c_5271]) ).
tcf(c_8550,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8270,c_4987]) ).
tcf(c_8551,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8270,c_4986]) ).
tcf(c_8660,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_6977]) ).
tcf(c_8661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK3,X1),X2),X3)
| member(sK5(intersection(intersection(sK3,X1),X2),X3),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8452,c_1578]) ).
tcf(c_8662,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_2293]) ).
tcf(c_8663,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_2222]) ).
tcf(c_8665,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_1345]) ).
tcf(c_8666,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_1284]) ).
tcf(c_8667,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_994]) ).
tcf(c_8668,plain,
! [X0: $i,X1: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_8452,c_1094]) ).
tcf(c_8732,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_6977]) ).
tcf(c_8733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK3,X1),X2),X3)
| member(sK5(intersection(intersection(sK3,X1),X2),X3),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8543,c_1578]) ).
tcf(c_8734,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_2293]) ).
tcf(c_8735,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_2222]) ).
tcf(c_8737,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_1345]) ).
tcf(c_8738,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_1284]) ).
tcf(c_8739,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_994]) ).
tcf(c_8740,plain,
! [X0: $i,X1: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_8543,c_1094]) ).
tcf(c_8914,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_941,c_7636]) ).
tcf(c_8915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK5(image3(X1,X2,sK3),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_948,c_7636]) ).
tcf(c_8916,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_958,c_7636]) ).
tcf(c_8917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_972,c_7636]) ).
tcf(c_8918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,sK3),X2),X3)
| member(sK5(intersection(intersection(X1,sK3),X2),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_973,c_7636]) ).
tcf(c_8919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK3,X1),X2),X3)
| member(sK5(intersection(intersection(sK3,X1),X2),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_974,c_7636]) ).
tcf(c_8920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,sK3),X3),X4)
| member(sK5(intersection(image3(X1,X2,sK3),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_975,c_7636]) ).
tcf(c_8921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1166,c_7636]) ).
tcf(c_8922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,sK3)),X3)
| member(sK5(intersection(X1,intersection(X2,sK3)),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1167,c_7636]) ).
tcf(c_8923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK3,X2)),X3)
| member(sK5(intersection(X1,intersection(sK3,X2)),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1168,c_7636]) ).
tcf(c_8924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,sK3)),X4)
| member(sK5(intersection(X1,image3(X2,X3,sK3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_7636]) ).
tcf(c_8925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK5(image3(X2,X3,X0),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1238,c_7636]) ).
tcf(c_8926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(X3,sK3)),X4)
| member(sK5(image3(X1,X2,intersection(X3,sK3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1239,c_7636]) ).
tcf(c_8927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK3,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK3,X3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1240,c_7636]) ).
tcf(c_8928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,image3(X3,X4,sK3)),X5)
| member(sK5(image3(X1,X2,image3(X3,X4,sK3)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1243,c_7636]) ).
tcf(c_8932,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_7636]) ).
tcf(c_9042,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK4),X2)
| member(sK5(intersection(X1,sK4),X2),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_941,c_7948]) ).
tcf(c_9043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK4),X3)
| member(sK5(image3(X1,X2,sK4),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_948,c_7948]) ).
tcf(c_9044,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_958,c_7948]) ).
tcf(c_9045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_972,c_7948]) ).
tcf(c_9046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,sK4),X2),X3)
| member(sK5(intersection(intersection(X1,sK4),X2),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_973,c_7948]) ).
tcf(c_9047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_974,c_7948]) ).
tcf(c_9048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,sK4),X3),X4)
| member(sK5(intersection(image3(X1,X2,sK4),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_975,c_7948]) ).
tcf(c_9049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1166,c_7948]) ).
tcf(c_9050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,sK4)),X3)
| member(sK5(intersection(X1,intersection(X2,sK4)),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1167,c_7948]) ).
tcf(c_9051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1168,c_7948]) ).
tcf(c_9052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,sK4)),X4)
| member(sK5(intersection(X1,image3(X2,X3,sK4)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_7948]) ).
tcf(c_9053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK5(image3(X2,X3,X0),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1238,c_7948]) ).
tcf(c_9054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(X3,sK4)),X4)
| member(sK5(image3(X1,X2,intersection(X3,sK4)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1239,c_7948]) ).
tcf(c_9055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1240,c_7948]) ).
tcf(c_9056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,image3(X3,X4,sK4)),X5)
| member(sK5(image3(X1,X2,image3(X3,X4,sK4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1243,c_7948]) ).
tcf(c_9060,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_7948]) ).
tcf(c_9201,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_55,c_8668]) ).
tcf(c_9202,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_8668]) ).
tcf(c_9203,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_356,c_8668]) ).
tcf(c_9204,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_933,c_8668]) ).
tcf(c_9206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_948,c_8668]) ).
tcf(c_9207,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_958,c_8668]) ).
tcf(c_9210,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_959,c_8668]) ).
tcf(c_9211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_972,c_8668]) ).
tcf(c_9212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_973,c_8668]) ).
tcf(c_9214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_975,c_8668]) ).
tcf(c_9217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK3) ),
inference(superposition,[status(thm)],[c_1109,c_8668]) ).
tcf(c_9218,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK3)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_8668]) ).
tcf(c_9219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_1166,c_8668]) ).
tcf(c_9220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_1167,c_8668]) ).
tcf(c_9222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1171,c_8668]) ).
tcf(c_9223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1238,c_8668]) ).
tcf(c_9224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1239,c_8668]) ).
tcf(c_9226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK3) ),
inference(superposition,[status(thm)],[c_1243,c_8668]) ).
tcf(c_9233,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3592,c_8668]) ).
tcf(c_9234,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3612,c_8668]) ).
tcf(c_9235,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK3) ),
inference(superposition,[status(thm)],[c_3613,c_8668]) ).
tcf(c_9237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK3) ),
inference(superposition,[status(thm)],[c_3616,c_8668]) ).
tcf(c_9238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK3) ),
inference(superposition,[status(thm)],[c_3617,c_8668]) ).
tcf(c_9240,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_6875,c_8668]) ).
tcf(c_9624,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(sK1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_8208,c_2185]) ).
tcf(c_9633,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9624,c_56]) ).
tcf(c_9963,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_53,c_9633]) ).
tcf(c_10041,plain,
! [X0: $i,X1: $i] :
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),intersection(X0,X1))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),X1)
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),X0) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_10129,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_55,c_8740]) ).
tcf(c_10130,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_8740]) ).
tcf(c_10131,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_356,c_8740]) ).
tcf(c_10132,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_933,c_8740]) ).
tcf(c_10134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_948,c_8740]) ).
tcf(c_10135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_958,c_8740]) ).
tcf(c_10138,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_959,c_8740]) ).
tcf(c_10139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_972,c_8740]) ).
tcf(c_10140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_973,c_8740]) ).
tcf(c_10142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_975,c_8740]) ).
tcf(c_10145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK3) ),
inference(superposition,[status(thm)],[c_1109,c_8740]) ).
tcf(c_10146,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK3)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_8740]) ).
tcf(c_10147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_1166,c_8740]) ).
tcf(c_10148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_1167,c_8740]) ).
tcf(c_10150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1171,c_8740]) ).
tcf(c_10151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1238,c_8740]) ).
tcf(c_10152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1239,c_8740]) ).
tcf(c_10154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK3) ),
inference(superposition,[status(thm)],[c_1243,c_8740]) ).
tcf(c_10161,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3592,c_8740]) ).
tcf(c_10162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3612,c_8740]) ).
tcf(c_10163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK3) ),
inference(superposition,[status(thm)],[c_3613,c_8740]) ).
tcf(c_10165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK1)
| ~ subset(sK1,sK4)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK3) ),
inference(superposition,[status(thm)],[c_3616,c_8740]) ).
tcf(c_10166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK3) ),
inference(superposition,[status(thm)],[c_3617,c_8740]) ).
tcf(c_10168,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_6875,c_8740]) ).
tcf(c_10325,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X1,sK3),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8914,c_54]) ).
tcf(c_10326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_8914,c_56]) ).
tcf(c_10327,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK3) ),
inference(superposition,[status(thm)],[c_8914,c_8740]) ).
tcf(c_10328,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK3) ),
inference(superposition,[status(thm)],[c_8914,c_8668]) ).
tcf(c_10329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK4) ),
inference(superposition,[status(thm)],[c_8914,c_7357]) ).
tcf(c_10330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK3) ),
inference(superposition,[status(thm)],[c_8914,c_7083]) ).
tcf(c_10331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_8914,c_59]) ).
tcf(c_10332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_8914,c_58]) ).
tcf(c_10333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,sK3),X4)),sK5(intersection(X3,sK3),X4))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8914,c_68]) ).
tcf(c_10334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK7(X0,X1,sK5(intersection(X3,sK3),X4)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8914,c_67]) ).
tcf(c_10335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8914,c_66]) ).
tcf(c_10336,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_5860]) ).
tcf(c_10337,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_5547]) ).
tcf(c_10338,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_5271]) ).
tcf(c_10339,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_4987]) ).
tcf(c_10340,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_4986]) ).
tcf(c_10341,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))) = sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_8914,c_4945]) ).
tcf(c_10342,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8914,c_7636]) ).
tcf(c_10343,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8914,c_7948]) ).
tcf(c_10393,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))) = sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10341,c_927]) ).
tcf(c_10396,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10340,c_927]) ).
tcf(c_10400,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10339,c_927]) ).
tcf(c_10404,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10338,c_927]) ).
tcf(c_10408,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10337,c_927]) ).
tcf(c_10412,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10336,c_927]) ).
tcf(c_10467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_6977]) ).
tcf(c_10468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X2,sK3),X3),X4)
| member(sK5(intersection(intersection(X2,sK3),X3),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10325,c_1578]) ).
tcf(c_10469,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_2293]) ).
tcf(c_10470,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_2222]) ).
tcf(c_10472,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_1345]) ).
tcf(c_10473,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_1284]) ).
tcf(c_10474,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_994]) ).
tcf(c_10476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X3,sK3)),X4)
| member(sK5(intersection(X2,intersection(X3,sK3)),X4),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_10325,c_1915]) ).
tcf(c_10477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X3,sK3)),X4)
| member(sK5(intersection(X2,intersection(X3,sK3)),X4),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_10325,c_1914]) ).
tcf(c_10478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X2,sK3),X3),X4)
| member(sK5(intersection(intersection(X2,sK3),X3),X4),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_10325,c_1580]) ).
tcf(c_10479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X2,sK3),X3),X4)
| member(sK5(intersection(intersection(X2,sK3),X3),X4),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_10325,c_1579]) ).
tcf(c_10482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X3,sK3),X4),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X3,sK3),X4),X5),X6)),sK5(intersection(intersection(intersection(X3,sK3),X4),X5),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_2644]) ).
tcf(c_10483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,sK3)),X5)
| member(sK5(intersection(X3,intersection(X4,sK3)),X5),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_1918]) ).
tcf(c_10484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,sK3),X4),X5)
| member(sK5(intersection(intersection(X3,sK3),X4),X5),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_1583]) ).
tcf(c_10486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,sK3)),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(X4,sK3)),X5)),sK5(intersection(X3,intersection(X4,sK3)),X5))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_1916]) ).
tcf(c_10487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,sK3),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X3,sK3),X4),X5)),sK5(intersection(intersection(X3,sK3),X4),X5))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_1581]) ).
tcf(c_10561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X2,X3,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3216,c_54]) ).
tcf(c_10630,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_52,c_7220]) ).
tcf(c_10631,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_53,c_7220]) ).
tcf(c_10636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X2)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_7220]) ).
tcf(c_10637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_7220]) ).
tcf(c_10638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X0)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_7220]) ).
tcf(c_10639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X2)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_7220]) ).
tcf(c_10640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_7220]) ).
tcf(c_10641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_7220]) ).
tcf(c_10642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X2)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_7220]) ).
tcf(c_10643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_7220]) ).
tcf(c_10644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_7220]) ).
tcf(c_10645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_7220]) ).
tcf(c_10646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X2)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_7220]) ).
tcf(c_10647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_7220]) ).
tcf(c_10648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_7220]) ).
tcf(c_10649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_7220]) ).
tcf(c_10650,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8543,c_7220]) ).
tcf(c_10651,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_8452,c_7220]) ).
tcf(c_10652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_7220]) ).
tcf(c_10796,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_10630,c_54]) ).
tcf(c_10800,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_10630,c_7357]) ).
tcf(c_10801,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_10630,c_7083]) ).
tcf(c_10802,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_10630,c_5860]) ).
tcf(c_10803,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_10630,c_5547]) ).
tcf(c_10804,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_10630,c_5271]) ).
tcf(c_10805,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_10630,c_4987]) ).
tcf(c_10806,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_10630,c_4986]) ).
tcf(c_10852,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_10631,c_54]) ).
tcf(c_10856,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X2)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_10631,c_7357]) ).
tcf(c_10857,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X2)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_10631,c_7083]) ).
tcf(c_10858,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_10631,c_5860]) ).
tcf(c_10859,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_10631,c_5547]) ).
tcf(c_10860,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_10631,c_5271]) ).
tcf(c_10861,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_10631,c_4987]) ).
tcf(c_10862,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))) )
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_10631,c_4986]) ).
tcf(c_10947,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_7220]) ).
tcf(c_10948,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_6977]) ).
tcf(c_10949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_10796,c_1578]) ).
tcf(c_10950,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_2293]) ).
tcf(c_10951,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_2222]) ).
tcf(c_10953,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_1345]) ).
tcf(c_10954,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_1284]) ).
tcf(c_10955,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_994]) ).
tcf(c_10956,plain,
! [X0: $i,X1: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_10796,c_1094]) ).
tcf(c_11161,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_7220]) ).
tcf(c_11162,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_6977]) ).
tcf(c_11163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_10852,c_1578]) ).
tcf(c_11164,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_2293]) ).
tcf(c_11165,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_2222]) ).
tcf(c_11167,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_1345]) ).
tcf(c_11168,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_1284]) ).
tcf(c_11169,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_994]) ).
tcf(c_11170,plain,
! [X0: $i,X1: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_10852,c_1094]) ).
tcf(c_11230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X4,intersection(X0,X5)),X6),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X0,X5)),X6),X7)),sK5(intersection(intersection(X4,intersection(X0,X5)),X6),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_2647]) ).
tcf(c_11231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7)),sK5(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7)) ),
inference(superposition,[status(thm)],[c_1639,c_2647]) ).
tcf(c_11232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7)),sK5(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7)) ),
inference(superposition,[status(thm)],[c_1720,c_2647]) ).
tcf(c_11233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X4,intersection(X5,X0)),X6),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X5,X0)),X6),X7)),sK5(intersection(intersection(X4,intersection(X5,X0)),X6),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_2647]) ).
tcf(c_11234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7)),sK5(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7)) ),
inference(superposition,[status(thm)],[c_2010,c_2647]) ).
tcf(c_11235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7)),sK5(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7)) ),
inference(superposition,[status(thm)],[c_2079,c_2647]) ).
tcf(c_11236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8)),sK5(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_2779,c_2647]) ).
tcf(c_11237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8)),sK5(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8)) ),
inference(superposition,[status(thm)],[c_2985,c_2647]) ).
tcf(c_11238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8)),sK5(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_2647]) ).
tcf(c_11239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)),sK5(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)) ),
inference(superposition,[status(thm)],[c_3324,c_2647]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7),X8)),sK5(intersection(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7),X8)) ),
inference(superposition,[status(thm)],[c_3413,c_2647]) ).
tcf(c_11241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8),X9)),sK5(intersection(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8),X9)) ),
inference(superposition,[status(thm)],[c_4757,c_2647]) ).
tcf(c_11242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(sK3,X4)),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X3,intersection(sK3,X4)),X5),X6)),sK5(intersection(intersection(X3,intersection(sK3,X4)),X5),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_2647]) ).
tcf(c_11243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(sK4,X4)),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X3,intersection(sK4,X4)),X5),X6)),sK5(intersection(intersection(X3,intersection(sK4,X4)),X5),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_2647]) ).
tcf(c_11244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X4,sK3)),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X3,intersection(X4,sK3)),X5),X6)),sK5(intersection(intersection(X3,intersection(X4,sK3)),X5),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_2647]) ).
tcf(c_11303,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_948,c_9201]) ).
tcf(c_11304,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_958,c_9201]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_972,c_9201]) ).
tcf(c_11306,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK3),X1),X2)
| member(sK5(intersection(intersection(X0,sK3),X1),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_973,c_9201]) ).
tcf(c_11307,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK3,X0),X1),X2)
| member(sK5(intersection(intersection(sK3,X0),X1),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_974,c_9201]) ).
tcf(c_11308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK3),X2),X3)
| member(sK5(intersection(image3(X0,X1,sK3),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_975,c_9201]) ).
tcf(c_11309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| member(sK5(intersection(X1,X0),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1166,c_9201]) ).
tcf(c_11310,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK3)),X2)
| member(sK5(intersection(X0,intersection(X1,sK3)),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_9201]) ).
tcf(c_11311,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK3,X1)),X2)
| member(sK5(intersection(X0,intersection(sK3,X1)),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_9201]) ).
tcf(c_11312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK3)),X3)
| member(sK5(intersection(X0,image3(X1,X2,sK3)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_9201]) ).
tcf(c_11313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK5(image3(X1,X2,X0),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1238,c_9201]) ).
tcf(c_11314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK3)),X3)
| member(sK5(image3(X0,X1,intersection(X2,sK3)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_9201]) ).
tcf(c_11315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK3,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK3,X2)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_9201]) ).
tcf(c_11316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| member(sK5(image3(X0,X1,image3(X2,X3,sK3)),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_9201]) ).
tcf(c_11321,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_9201]) ).
tcf(c_11430,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_941,c_10129]) ).
tcf(c_11431,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_948,c_10129]) ).
tcf(c_11432,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_958,c_10129]) ).
tcf(c_11433,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_972,c_10129]) ).
tcf(c_11434,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK3),X1),X2)
| member(sK5(intersection(intersection(X0,sK3),X1),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_973,c_10129]) ).
tcf(c_11435,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK3,X0),X1),X2)
| member(sK5(intersection(intersection(sK3,X0),X1),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_974,c_10129]) ).
tcf(c_11436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK3),X2),X3)
| member(sK5(intersection(image3(X0,X1,sK3),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_975,c_10129]) ).
tcf(c_11437,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| member(sK5(intersection(X1,X0),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1166,c_10129]) ).
tcf(c_11438,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK3)),X2)
| member(sK5(intersection(X0,intersection(X1,sK3)),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_10129]) ).
tcf(c_11439,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK3,X1)),X2)
| member(sK5(intersection(X0,intersection(sK3,X1)),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_10129]) ).
tcf(c_11440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK3)),X3)
| member(sK5(intersection(X0,image3(X1,X2,sK3)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_10129]) ).
tcf(c_11441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK5(image3(X1,X2,X0),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1238,c_10129]) ).
tcf(c_11442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK3)),X3)
| member(sK5(image3(X0,X1,intersection(X2,sK3)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_10129]) ).
tcf(c_11443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK3,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK3,X2)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_10129]) ).
tcf(c_11444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| member(sK5(image3(X0,X1,image3(X2,X3,sK3)),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_10129]) ).
tcf(c_11554,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(X0,X1))
| ~ member(sK5(X0,intersection(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_55,c_2331]) ).
tcf(c_11643,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_55,c_10956]) ).
tcf(c_11644,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK4)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_10956]) ).
tcf(c_11645,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_356,c_10956]) ).
tcf(c_11646,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_933,c_10956]) ).
tcf(c_11648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(image3(X0,X1,X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_948,c_10956]) ).
tcf(c_11649,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_958,c_10956]) ).
tcf(c_11652,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_959,c_10956]) ).
tcf(c_11653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_972,c_10956]) ).
tcf(c_11654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_973,c_10956]) ).
tcf(c_11656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_975,c_10956]) ).
tcf(c_11659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK4) ),
inference(superposition,[status(thm)],[c_1109,c_10956]) ).
tcf(c_11660,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK3)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK4)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_10956]) ).
tcf(c_11661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_1166,c_10956]) ).
tcf(c_11662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_1167,c_10956]) ).
tcf(c_11664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_1171,c_10956]) ).
tcf(c_11665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1238,c_10956]) ).
tcf(c_11666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_1239,c_10956]) ).
tcf(c_11668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK4) ),
inference(superposition,[status(thm)],[c_1243,c_10956]) ).
tcf(c_11675,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK4) ),
inference(superposition,[status(thm)],[c_3592,c_10956]) ).
tcf(c_11676,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK4) ),
inference(superposition,[status(thm)],[c_3612,c_10956]) ).
tcf(c_11677,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK4) ),
inference(superposition,[status(thm)],[c_3613,c_10956]) ).
tcf(c_11679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK4) ),
inference(superposition,[status(thm)],[c_3616,c_10956]) ).
tcf(c_11680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK1)
| ~ subset(sK1,sK3)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK4) ),
inference(superposition,[status(thm)],[c_3617,c_10956]) ).
tcf(c_11950,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_55,c_11170]) ).
tcf(c_11951,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK4)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_11170]) ).
tcf(c_11952,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_356,c_11170]) ).
tcf(c_11953,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_933,c_11170]) ).
tcf(c_11955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_948,c_11170]) ).
tcf(c_11956,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_958,c_11170]) ).
tcf(c_11959,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK4) ),
inference(superposition,[status(thm)],[c_959,c_11170]) ).
tcf(c_11960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_972,c_11170]) ).
tcf(c_11961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_973,c_11170]) ).
tcf(c_11963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_975,c_11170]) ).
tcf(c_11966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK4) ),
inference(superposition,[status(thm)],[c_1109,c_11170]) ).
tcf(c_11967,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK4)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_11170]) ).
tcf(c_11968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_1166,c_11170]) ).
tcf(c_11969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_1167,c_11170]) ).
tcf(c_11971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_1171,c_11170]) ).
tcf(c_11972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1238,c_11170]) ).
tcf(c_11973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_1239,c_11170]) ).
tcf(c_11975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK4) ),
inference(superposition,[status(thm)],[c_1243,c_11170]) ).
tcf(c_11982,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK4) ),
inference(superposition,[status(thm)],[c_3592,c_11170]) ).
tcf(c_11983,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK4) ),
inference(superposition,[status(thm)],[c_3612,c_11170]) ).
tcf(c_11984,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK4) ),
inference(superposition,[status(thm)],[c_3613,c_11170]) ).
tcf(c_11986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK1)
| ~ subset(sK1,sK4)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK4) ),
inference(superposition,[status(thm)],[c_3616,c_11170]) ).
tcf(c_11987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK1)
| ~ subset(sK1,sK4)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK4) ),
inference(superposition,[status(thm)],[c_3617,c_11170]) ).
tcf(c_12200,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_54]) ).
tcf(c_12201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),X1)
| ~ subset(sK1,X0)
| ~ subset(X2,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_8916,c_56]) ).
tcf(c_12202,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_8916,c_11170]) ).
tcf(c_12203,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_8916,c_10956]) ).
tcf(c_12204,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_8740]) ).
tcf(c_12205,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_8668]) ).
tcf(c_12206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_8916,c_7357]) ).
tcf(c_12207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_7083]) ).
tcf(c_12208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),X1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_8916,c_59]) ).
tcf(c_12209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),X0)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_8916,c_58]) ).
tcf(c_12210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(X0,X1,sK5(X3,X4)),sK5(X3,X4))
| ~ subset(X3,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8916,c_68]) ).
tcf(c_12211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK5(X3,X4)),X1)
| ~ subset(X3,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8916,c_67]) ).
tcf(c_12212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X2)
| ~ subset(X3,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8916,c_66]) ).
tcf(c_12213,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_5860]) ).
tcf(c_12214,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_5547]) ).
tcf(c_12215,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_5271]) ).
tcf(c_12216,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_4987]) ).
tcf(c_12217,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_4986]) ).
tcf(c_12218,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(X0,X1)))) = sK6(sK0,sK2,sK5(X0,X1)) )
| ~ subset(sK1,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_4945]) ).
tcf(c_12219,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_10129]) ).
tcf(c_12221,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_7636]) ).
tcf(c_12222,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_7948]) ).
tcf(c_12302,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(X0,X1)))) = sK6(sK0,sK2,sK5(X0,X1)) )
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12218,c_927]) ).
tcf(c_12306,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12217,c_927]) ).
tcf(c_12311,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12216,c_927]) ).
tcf(c_12316,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12215,c_927]) ).
tcf(c_12321,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12214,c_927]) ).
tcf(c_12326,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12213,c_927]) ).
tcf(c_12385,plain,
! [X0: $i] :
( subset(X0,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_927,c_12200]) ).
tcf(c_12399,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1081,c_7638]) ).
tcf(c_12400,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1069,c_7638]) ).
tcf(c_12420,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1081,c_7950]) ).
tcf(c_12421,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1069,c_7950]) ).
tcf(c_12453,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_10131]) ).
tcf(c_12454,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_10131]) ).
tcf(c_12509,plain,
! [X0: $i] : subset(intersection(sK3,X0),sK1),
inference(superposition,[status(thm)],[c_971,c_12385]) ).
tcf(c_12510,plain,
! [X0: $i] : subset(intersection(X0,sK3),sK1),
inference(superposition,[status(thm)],[c_1165,c_12385]) ).
tcf(c_12511,plain,
! [X0: $i,X1: $i] : subset(image3(X0,X1,sK3),sK1),
inference(superposition,[status(thm)],[c_1237,c_12385]) ).
tcf(c_12512,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,X1),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1577,c_12385]) ).
tcf(c_12513,plain,
! [X0: $i,X1: $i] : subset(intersection(intersection(X0,sK3),X1),sK1),
inference(superposition,[status(thm)],[c_1639,c_12385]) ).
tcf(c_12514,plain,
! [X0: $i,X1: $i] : subset(intersection(intersection(sK3,X0),X1),sK1),
inference(superposition,[status(thm)],[c_1720,c_12385]) ).
tcf(c_12515,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X1,X0),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1912,c_12385]) ).
tcf(c_12516,plain,
! [X0: $i,X1: $i] : subset(intersection(X0,intersection(X1,sK3)),sK1),
inference(superposition,[status(thm)],[c_2010,c_12385]) ).
tcf(c_12517,plain,
! [X0: $i,X1: $i] : subset(intersection(X0,intersection(sK3,X1)),sK1),
inference(superposition,[status(thm)],[c_2079,c_12385]) ).
tcf(c_12518,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(image3(X0,X1,sK3),X2),sK1),
inference(superposition,[status(thm)],[c_2779,c_12385]) ).
tcf(c_12519,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,image3(X1,X2,sK3)),sK1),
inference(superposition,[status(thm)],[c_2985,c_12385]) ).
tcf(c_12520,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X1,X2,X0),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_3113,c_12385]) ).
tcf(c_12521,plain,
! [X0: $i,X1: $i,X2: $i] : subset(image3(X0,X1,intersection(X2,sK3)),sK1),
inference(superposition,[status(thm)],[c_3324,c_12385]) ).
tcf(c_12522,plain,
! [X0: $i,X1: $i,X2: $i] : subset(image3(X0,X1,intersection(sK3,X2)),sK1),
inference(superposition,[status(thm)],[c_3413,c_12385]) ).
tcf(c_12523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,image3(X2,X3,sK3)),sK1),
inference(superposition,[status(thm)],[c_4757,c_12385]) ).
tcf(c_12567,plain,
( ~ subset(sK2,intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| ~ subset(image3(sK0,sK4,sK2),image3(sK0,intersection(sK3,sK4),sK2)) ),
inference(superposition,[status(thm)],[c_10561,c_5744]) ).
tcf(c_12608,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK4),X1)
| member(sK5(intersection(X0,sK4),X1),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_941,c_11643]) ).
tcf(c_12609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK4),X2)
| member(sK5(image3(X0,X1,sK4),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_948,c_11643]) ).
tcf(c_12611,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_958,c_11643]) ).
tcf(c_12612,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_972,c_11643]) ).
tcf(c_12613,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK4),X1),X2)
| member(sK5(intersection(intersection(X0,sK4),X1),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_973,c_11643]) ).
tcf(c_12614,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,X0),X1),X2)
| member(sK5(intersection(intersection(sK4,X0),X1),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_974,c_11643]) ).
tcf(c_12615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK4),X2),X3)
| member(sK5(intersection(image3(X0,X1,sK4),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_975,c_11643]) ).
tcf(c_12616,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| member(sK5(intersection(X1,X0),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1166,c_11643]) ).
tcf(c_12617,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK4)),X2)
| member(sK5(intersection(X0,intersection(X1,sK4)),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_11643]) ).
tcf(c_12618,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK4,X1)),X2)
| member(sK5(intersection(X0,intersection(sK4,X1)),X2),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_11643]) ).
tcf(c_12619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK4)),X3)
| member(sK5(intersection(X0,image3(X1,X2,sK4)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_11643]) ).
tcf(c_12620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK5(image3(X1,X2,X0),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1238,c_11643]) ).
tcf(c_12621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK4)),X3)
| member(sK5(image3(X0,X1,intersection(X2,sK4)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_11643]) ).
tcf(c_12622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK4,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK4,X2)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_11643]) ).
tcf(c_12623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK4)),X4)
| member(sK5(image3(X0,X1,image3(X2,X3,sK4)),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_11643]) ).
tcf(c_12732,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK4),X1)
| member(sK5(intersection(X0,sK4),X1),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_941,c_11950]) ).
tcf(c_12733,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK4),X2)
| member(sK5(image3(X0,X1,sK4),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_948,c_11950]) ).
tcf(c_12735,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_958,c_11950]) ).
tcf(c_12736,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_972,c_11950]) ).
tcf(c_12737,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK4),X1),X2)
| member(sK5(intersection(intersection(X0,sK4),X1),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_973,c_11950]) ).
tcf(c_12738,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,X0),X1),X2)
| member(sK5(intersection(intersection(sK4,X0),X1),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_974,c_11950]) ).
tcf(c_12739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK4),X2),X3)
| member(sK5(intersection(image3(X0,X1,sK4),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_975,c_11950]) ).
tcf(c_12740,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| member(sK5(intersection(X1,X0),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1166,c_11950]) ).
tcf(c_12741,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK4)),X2)
| member(sK5(intersection(X0,intersection(X1,sK4)),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_11950]) ).
tcf(c_12742,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK4,X1)),X2)
| member(sK5(intersection(X0,intersection(sK4,X1)),X2),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_11950]) ).
tcf(c_12743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK4)),X3)
| member(sK5(intersection(X0,image3(X1,X2,sK4)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_11950]) ).
tcf(c_12744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK5(image3(X1,X2,X0),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1238,c_11950]) ).
tcf(c_12745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK4)),X3)
| member(sK5(image3(X0,X1,intersection(X2,sK4)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_11950]) ).
tcf(c_12746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK4,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK4,X2)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_11950]) ).
tcf(c_12747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK4)),X4)
| member(sK5(image3(X0,X1,image3(X2,X3,sK4)),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_11950]) ).
tcf(c_12856,plain,
! [X0: $i] : subset(X0,intersection(X0,X0)),
inference(superposition,[status(thm)],[c_55,c_11554]) ).
tcf(c_12870,plain,
( subset(sK4,intersection(sK4,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_9963,c_11554]) ).
tcf(c_12915,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_7220]) ).
tcf(c_12916,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_6977]) ).
tcf(c_12918,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_2293]) ).
tcf(c_12919,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_2222]) ).
tcf(c_12921,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_1345]) ).
tcf(c_12922,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_1284]) ).
tcf(c_12923,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_994]) ).
tcf(c_12924,plain,
! [X0: $i,X1: $i] :
( member(X0,sK1)
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_12509,c_1094]) ).
tcf(c_12957,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_7220]) ).
tcf(c_12958,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_6977]) ).
tcf(c_12960,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_2293]) ).
tcf(c_12961,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_2222]) ).
tcf(c_12963,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_1345]) ).
tcf(c_12964,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_1284]) ).
tcf(c_12965,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_994]) ).
tcf(c_13028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_7220]) ).
tcf(c_13029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_6977]) ).
tcf(c_13031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_2293]) ).
tcf(c_13032,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_2222]) ).
tcf(c_13034,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_1345]) ).
tcf(c_13035,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_1284]) ).
tcf(c_13036,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_994]) ).
tcf(c_13037,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_12511,c_1463]) ).
tcf(c_13071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_7220]) ).
tcf(c_13072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_6977]) ).
tcf(c_13073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X1,sK3),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X1,sK3),X2),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12513,c_1578]) ).
tcf(c_13074,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_2293]) ).
tcf(c_13075,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_2222]) ).
tcf(c_13077,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_1345]) ).
tcf(c_13078,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_1284]) ).
tcf(c_13079,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_994]) ).
tcf(c_13080,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ member(X0,X2)
| ~ member(X0,intersection(X1,sK3)) ),
inference(superposition,[status(thm)],[c_12513,c_1094]) ).
tcf(c_13195,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),X2)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1) ),
inference(global_subsumption_just,[status(thm)],[c_7663,c_6698,c_7975]) ).
tcf(c_13196,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(renaming,[status(thm)],[c_13195]) ).
tcf(c_13215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_7220]) ).
tcf(c_13216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_6977]) ).
tcf(c_13217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X2),X3),X4)
| member(sK5(intersection(intersection(X0,X2),X3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_12512,c_1578]) ).
tcf(c_13218,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_2293]) ).
tcf(c_13219,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_2222]) ).
tcf(c_13221,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_1345]) ).
tcf(c_13222,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_1284]) ).
tcf(c_13223,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(X0,sK3)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_994]) ).
tcf(c_13224,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ subset(X1,sK3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_12512,c_1094]) ).
tcf(c_13473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_7220]) ).
tcf(c_13474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_6977]) ).
tcf(c_13475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(sK3,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(sK3,X1),X2),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12514,c_1578]) ).
tcf(c_13476,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_2293]) ).
tcf(c_13477,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_2222]) ).
tcf(c_13479,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_1345]) ).
tcf(c_13480,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_1284]) ).
tcf(c_13481,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_994]) ).
tcf(c_13482,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ member(X0,X2)
| ~ member(X0,intersection(sK3,X1)) ),
inference(superposition,[status(thm)],[c_12514,c_1094]) ).
tcf(c_13572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_7220]) ).
tcf(c_13573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_6977]) ).
tcf(c_13574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X1,intersection(X2,sK3)),X3),X4)
| member(sK5(intersection(intersection(X1,intersection(X2,sK3)),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12516,c_1578]) ).
tcf(c_13575,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_2293]) ).
tcf(c_13576,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_2222]) ).
tcf(c_13578,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_1345]) ).
tcf(c_13579,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_1284]) ).
tcf(c_13580,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_994]) ).
tcf(c_13614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_7220]) ).
tcf(c_13615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_6977]) ).
tcf(c_13616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X1,intersection(sK3,X2)),X3),X4)
| member(sK5(intersection(intersection(X1,intersection(sK3,X2)),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12517,c_1578]) ).
tcf(c_13617,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_2293]) ).
tcf(c_13618,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_2222]) ).
tcf(c_13620,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_1345]) ).
tcf(c_13621,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_1284]) ).
tcf(c_13622,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_994]) ).
tcf(c_13746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_7220]) ).
tcf(c_13747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_6977]) ).
tcf(c_13748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X1,X2,sK3),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X1,X2,sK3),X3),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12518,c_1578]) ).
tcf(c_13749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_2293]) ).
tcf(c_13750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_2222]) ).
tcf(c_13752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_1345]) ).
tcf(c_13753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_1284]) ).
tcf(c_13754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_994]) ).
tcf(c_13755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_12518,c_1094]) ).
tcf(c_13821,plain,
! [X0: $i,X1: $i] :
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(X0,sK4,X1))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),X1)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK4)
| ~ apply(X0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))) ),
inference(instantiation,[status(thm)],[c_2462]) ).
tcf(c_13861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_7220]) ).
tcf(c_13862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_6977]) ).
tcf(c_13863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X2,X0),X3),X4)
| member(sK5(intersection(intersection(X2,X0),X3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_12515,c_1578]) ).
tcf(c_13864,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_2293]) ).
tcf(c_13865,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_2222]) ).
tcf(c_13867,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_1345]) ).
tcf(c_13868,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_1284]) ).
tcf(c_13869,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_994]) ).
tcf(c_13923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X2,X0),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1640,c_54]) ).
tcf(c_13925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1640,c_11170]) ).
tcf(c_13926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1640,c_10956]) ).
tcf(c_13927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1640,c_8740]) ).
tcf(c_13928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1640,c_8668]) ).
tcf(c_13929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1640,c_7357]) ).
tcf(c_13930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1640,c_7083]) ).
tcf(c_13934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X4,X0),X5),X6)
| member(sK7(X1,X2,sK5(intersection(intersection(X4,X0),X5),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1640,c_67]) ).
tcf(c_13936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_5860]) ).
tcf(c_13937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_5547]) ).
tcf(c_13938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_5271]) ).
tcf(c_13939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_4987]) ).
tcf(c_13940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_4986]) ).
tcf(c_13941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_4945]) ).
tcf(c_13942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| member(sK5(intersection(intersection(X1,X0),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1640,c_10129]) ).
tcf(c_13943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| member(sK5(intersection(intersection(X1,X0),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1640,c_9201]) ).
tcf(c_13945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| member(sK5(intersection(intersection(X1,X0),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1640,c_11950]) ).
tcf(c_13946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| member(sK5(intersection(intersection(X1,X0),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1640,c_11643]) ).
tcf(c_13947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X2,X0),X3),X4)
| member(sK5(intersection(intersection(X2,X0),X3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1640,c_7948]) ).
tcf(c_14028,plain,
! [X0: $i,X1: $i] :
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(X0,sK3,X1))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),X1)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK3)
| ~ apply(X0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))) ),
inference(instantiation,[status(thm)],[c_2562]) ).
tcf(c_14088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_7220]) ).
tcf(c_14089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_6977]) ).
tcf(c_14090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X1,image3(X2,X3,sK3)),X4),X5)
| member(sK5(intersection(intersection(X1,image3(X2,X3,sK3)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12519,c_1578]) ).
tcf(c_14091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_2293]) ).
tcf(c_14092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_2222]) ).
tcf(c_14094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_1345]) ).
tcf(c_14095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_1284]) ).
tcf(c_14096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_994]) ).
tcf(c_14130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_7220]) ).
tcf(c_14131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_6977]) ).
tcf(c_14132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X1,X2,intersection(X3,sK3)),X4),X5)
| member(sK5(intersection(image3(X1,X2,intersection(X3,sK3)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12521,c_1578]) ).
tcf(c_14133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_2293]) ).
tcf(c_14134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_2222]) ).
tcf(c_14136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_1345]) ).
tcf(c_14137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_1284]) ).
tcf(c_14138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_994]) ).
tcf(c_14139,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),intersection(X1,sK3)) ),
inference(superposition,[status(thm)],[c_12521,c_1463]) ).
tcf(c_14256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_7220]) ).
tcf(c_14257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_6977]) ).
tcf(c_14258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X1,X2,intersection(sK3,X3)),X4),X5)
| member(sK5(intersection(image3(X1,X2,intersection(sK3,X3)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12522,c_1578]) ).
tcf(c_14259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_2293]) ).
tcf(c_14260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_2222]) ).
tcf(c_14262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_1345]) ).
tcf(c_14263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_1284]) ).
tcf(c_14264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_994]) ).
tcf(c_14265,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),intersection(sK3,X1)) ),
inference(superposition,[status(thm)],[c_12522,c_1463]) ).
tcf(c_14303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_7220]) ).
tcf(c_14304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_6977]) ).
tcf(c_14305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X1,X2,image3(X3,X4,sK3)),X5),X6)
| member(sK5(intersection(image3(X1,X2,image3(X3,X4,sK3)),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12523,c_1578]) ).
tcf(c_14306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_2293]) ).
tcf(c_14307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_2222]) ).
tcf(c_14309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_1345]) ).
tcf(c_14310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_1284]) ).
tcf(c_14311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_994]) ).
tcf(c_14312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK6(sK0,sK2,X0),image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_12523,c_1463]) ).
tcf(c_14440,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_6070]) ).
tcf(c_14441,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_6070]) ).
tcf(c_14442,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_6070]) ).
tcf(c_14443,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_6070]) ).
tcf(c_14444,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_6070]) ).
tcf(c_14445,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_6070]) ).
tcf(c_14447,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_6070]) ).
tcf(c_14448,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_6070]) ).
tcf(c_14449,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_6070]) ).
tcf(c_14450,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_6070]) ).
tcf(c_14451,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_6070]) ).
tcf(c_14452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_6070]) ).
tcf(c_14454,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_6070]) ).
tcf(c_14455,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_6070]) ).
tcf(c_14456,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_6070]) ).
tcf(c_14457,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_6070]) ).
tcf(c_14458,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_6070]) ).
tcf(c_14459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_6070]) ).
tcf(c_14460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_6070]) ).
tcf(c_14461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_6070]) ).
tcf(c_14462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_6070]) ).
tcf(c_14463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_6070]) ).
tcf(c_14464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_6070]) ).
tcf(c_14465,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_6070]) ).
tcf(c_14466,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_6070]) ).
tcf(c_14471,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_6070]) ).
tcf(c_14472,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_6070]) ).
tcf(c_14473,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_6070]) ).
tcf(c_14474,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_6070]) ).
tcf(c_14475,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_6070]) ).
tcf(c_14476,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_6070]) ).
tcf(c_14477,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_6070]) ).
tcf(c_14478,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_6070]) ).
tcf(c_14481,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_6070]) ).
tcf(c_14506,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14466,c_927]) ).
tcf(c_14510,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14465,c_927]) ).
tcf(c_14529,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14444,c_927]) ).
tcf(c_14548,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14481,c_927]) ).
tcf(c_14560,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14478,c_927]) ).
tcf(c_14564,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14477,c_927]) ).
tcf(c_14697,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_12870,c_4174]) ).
tcf(c_14755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_7220]) ).
tcf(c_14756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_6977]) ).
tcf(c_14757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X2,X3,X0),X4),X5)
| member(sK5(intersection(image3(X2,X3,X0),X4),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_12520,c_1578]) ).
tcf(c_14758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_2293]) ).
tcf(c_14759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_2222]) ).
tcf(c_14761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_1345]) ).
tcf(c_14762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_1284]) ).
tcf(c_14763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_994]) ).
tcf(c_14764,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ subset(X1,sK3)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_12520,c_1463]) ).
tcf(c_14870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_7220]) ).
tcf(c_14871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_6977]) ).
tcf(c_14872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X3,X0),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X3,X0),X4),X5),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13923,c_1578]) ).
tcf(c_14873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_2293]) ).
tcf(c_14874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_2222]) ).
tcf(c_14876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1345]) ).
tcf(c_14877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1284]) ).
tcf(c_14878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X1,X3)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_994]) ).
tcf(c_14879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,X4)
| ~ subset(X2,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1094]) ).
tcf(c_14880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X4,X0),X5)),X6)
| member(sK5(intersection(X3,intersection(intersection(X4,X0),X5)),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1915]) ).
tcf(c_14881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X4,X0),X5)),X6)
| member(sK5(intersection(X3,intersection(intersection(X4,X0),X5)),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1914]) ).
tcf(c_14882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X3,X0),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X3,X0),X4),X5),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1580]) ).
tcf(c_14883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X3,X0),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X3,X0),X4),X5),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_1579]) ).
tcf(c_14886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,intersection(intersection(X5,X0),X6)),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(intersection(X5,X0),X6)),X7),X8)),sK5(intersection(intersection(X4,intersection(intersection(X5,X0),X6)),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_2647]) ).
tcf(c_14887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(intersection(X4,X0),X5),X6),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(intersection(X4,X0),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(intersection(X4,X0),X5),X6),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_2644]) ).
tcf(c_14888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(intersection(X5,X0),X6)),X7)
| member(sK5(intersection(X4,intersection(intersection(X5,X0),X6)),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_1918]) ).
tcf(c_14889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X4,X0),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X4,X0),X5),X6),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_1583]) ).
tcf(c_14891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(intersection(X5,X0),X6)),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X5,X0),X6)),X7)),sK5(intersection(X4,intersection(intersection(X5,X0),X6)),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_1916]) ).
tcf(c_14895,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X1,X0),X2),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_13923,c_12385]) ).
tcf(c_15036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(X0,intersection(X1,X2)),X3),X2),
inference(superposition,[status(thm)],[c_1641,c_54]) ).
tcf(c_15038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_1641,c_11170]) ).
tcf(c_15039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_1641,c_10956]) ).
tcf(c_15040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_1641,c_8740]) ).
tcf(c_15041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_1641,c_8668]) ).
tcf(c_15042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_1641,c_7357]) ).
tcf(c_15043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_1641,c_7083]) ).
tcf(c_15047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6)),X1) ),
inference(superposition,[status(thm)],[c_1641,c_67]) ).
tcf(c_15049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_6070]) ).
tcf(c_15050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_5860]) ).
tcf(c_15051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_5547]) ).
tcf(c_15052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_5271]) ).
tcf(c_15053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_4987]) ).
tcf(c_15054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_4986]) ).
tcf(c_15055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1641,c_4945]) ).
tcf(c_15056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK3)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(X1,sK3)),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_10129]) ).
tcf(c_15057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK3)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(X1,sK3)),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_9201]) ).
tcf(c_15059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK4)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(X1,sK4)),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_11950]) ).
tcf(c_15060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK4)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(X1,sK4)),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_11643]) ).
tcf(c_15061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X1,intersection(X2,sK4)),X3),X4)
| member(sK5(intersection(intersection(X1,intersection(X2,sK4)),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1641,c_7948]) ).
tcf(c_15199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X2)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_7220]) ).
tcf(c_15200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X2)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_6977]) ).
tcf(c_15201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X3,X0)),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X2,intersection(X3,X0)),X4),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15036,c_1578]) ).
tcf(c_15202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_2293]) ).
tcf(c_15203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_2222]) ).
tcf(c_15205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_1345]) ).
tcf(c_15206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_1284]) ).
tcf(c_15207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_994]) ).
tcf(c_15208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,X4)
| ~ member(X0,intersection(X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_15036,c_1094]) ).
tcf(c_15209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(X2,intersection(X3,X4))),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,intersection(X3,X4))),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_15036,c_1915]) ).
tcf(c_15210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(X2,intersection(X3,X4))),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,intersection(X3,X4))),X5)),X6),X4) ),
inference(superposition,[status(thm)],[c_15036,c_1914]) ).
tcf(c_15211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_15036,c_1580]) ).
tcf(c_15212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_15036,c_1579]) ).
tcf(c_15215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7),X8)),sK5(intersection(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_15036,c_2647]) ).
tcf(c_15216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_15036,c_2644]) ).
tcf(c_15217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(X2,image3(X3,X4,X5))),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,image3(X3,X4,X5))),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_15036,c_1918]) ).
tcf(c_15218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_15036,c_1583]) ).
tcf(c_15220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7)),sK5(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7)) ),
inference(superposition,[status(thm)],[c_15036,c_1916]) ).
tcf(c_15224,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(X0,intersection(X1,sK3)),X2),sK1),
inference(superposition,[status(thm)],[c_15036,c_12385]) ).
tcf(c_15347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(X0,intersection(X1,X2)),X3),X1),
inference(superposition,[status(thm)],[c_1642,c_54]) ).
tcf(c_15358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6)),X1) ),
inference(superposition,[status(thm)],[c_1642,c_67]) ).
tcf(c_15360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_6070]) ).
tcf(c_15361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_5860]) ).
tcf(c_15362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_5547]) ).
tcf(c_15363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_5271]) ).
tcf(c_15364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_4987]) ).
tcf(c_15365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_4986]) ).
tcf(c_15366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1642,c_4945]) ).
tcf(c_15367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK3,X1)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(sK3,X1)),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_10129]) ).
tcf(c_15368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK3,X1)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(sK3,X1)),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_9201]) ).
tcf(c_15370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK4,X1)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(sK4,X1)),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_11950]) ).
tcf(c_15371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK4,X1)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(sK4,X1)),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_11643]) ).
tcf(c_15372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X1,intersection(sK4,X2)),X3),X4)
| member(sK5(intersection(intersection(X1,intersection(sK4,X2)),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1642,c_7948]) ).
tcf(c_15475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_7220]) ).
tcf(c_15476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_6977]) ).
tcf(c_15477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X1,intersection(X2,sK3)),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X1,intersection(X2,sK3)),X3),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_15224,c_1578]) ).
tcf(c_15478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_2293]) ).
tcf(c_15479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_2222]) ).
tcf(c_15481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_1345]) ).
tcf(c_15482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_1284]) ).
tcf(c_15483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_994]) ).
tcf(c_15484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_15224,c_1094]) ).
tcf(c_15561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_7220]) ).
tcf(c_15562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_6977]) ).
tcf(c_15563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X0,X3)),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X2,intersection(X0,X3)),X4),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15347,c_1578]) ).
tcf(c_15564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_2293]) ).
tcf(c_15565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_2222]) ).
tcf(c_15567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_1345]) ).
tcf(c_15568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_1284]) ).
tcf(c_15569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_994]) ).
tcf(c_15570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X2)
| ~ member(X0,X4)
| ~ member(X0,intersection(X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_15347,c_1094]) ).
tcf(c_15571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(intersection(X2,X3),X4)),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(intersection(X2,X3),X4)),X5)),X6),X2) ),
inference(superposition,[status(thm)],[c_15347,c_1915]) ).
tcf(c_15572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(intersection(X2,X3),X4)),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(intersection(X2,X3),X4)),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_15347,c_1914]) ).
tcf(c_15573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5),X6),X1) ),
inference(superposition,[status(thm)],[c_15347,c_1580]) ).
tcf(c_15574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_15347,c_1579]) ).
tcf(c_15577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7),X8)),sK5(intersection(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_15347,c_2647]) ).
tcf(c_15578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_15347,c_2644]) ).
tcf(c_15579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(image3(X2,X3,X4),X5)),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(image3(X2,X3,X4),X5)),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_15347,c_1918]) ).
tcf(c_15580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_15347,c_1583]) ).
tcf(c_15582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7)),sK5(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7)) ),
inference(superposition,[status(thm)],[c_15347,c_1916]) ).
tcf(c_15586,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(X0,intersection(sK3,X1)),X2),sK1),
inference(superposition,[status(thm)],[c_15347,c_12385]) ).
tcf(c_15671,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1) ),
inference(superposition,[status(thm)],[c_12856,c_7181]) ).
tcf(c_15673,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_12856,c_6830]) ).
tcf(c_15695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_7220]) ).
tcf(c_15696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_6977]) ).
tcf(c_15697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X1,intersection(sK3,X2)),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X1,intersection(sK3,X2)),X3),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_15586,c_1578]) ).
tcf(c_15698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_2293]) ).
tcf(c_15699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_2222]) ).
tcf(c_15701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_1345]) ).
tcf(c_15702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_1284]) ).
tcf(c_15703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_994]) ).
tcf(c_15704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_15586,c_1094]) ).
tcf(c_15799,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_55,c_12924]) ).
tcf(c_15800,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,sK1)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_12924]) ).
tcf(c_15801,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_356,c_12924]) ).
tcf(c_15802,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_933,c_12924]) ).
tcf(c_15804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_948,c_12924]) ).
tcf(c_15805,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_12924]) ).
tcf(c_15806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(X0,X2)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_958,c_12924]) ).
tcf(c_15809,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_959,c_12924]) ).
tcf(c_15810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X0,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_972,c_12924]) ).
tcf(c_15811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_973,c_12924]) ).
tcf(c_15813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_975,c_12924]) ).
tcf(c_15816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK3) ),
inference(superposition,[status(thm)],[c_1109,c_12924]) ).
tcf(c_15817,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),sK3)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1151,c_12924]) ).
tcf(c_15818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,X1),X2),sK3) ),
inference(superposition,[status(thm)],[c_1166,c_12924]) ).
tcf(c_15819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_1167,c_12924]) ).
tcf(c_15821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1171,c_12924]) ).
tcf(c_15822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(X2,X4)
| ~ member(sK5(image3(X0,X1,X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1238,c_12924]) ).
tcf(c_15823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_1239,c_12924]) ).
tcf(c_15825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK1)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK3) ),
inference(superposition,[status(thm)],[c_1243,c_12924]) ).
tcf(c_15826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1640,c_12924]) ).
tcf(c_15827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_1641,c_12924]) ).
tcf(c_15829,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_2184,c_12924]) ).
tcf(c_15830,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_2185,c_12924]) ).
tcf(c_15835,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3592,c_12924]) ).
tcf(c_15836,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK3) ),
inference(superposition,[status(thm)],[c_3612,c_12924]) ).
tcf(c_15837,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK3) ),
inference(superposition,[status(thm)],[c_3613,c_12924]) ).
tcf(c_15839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK1)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK3) ),
inference(superposition,[status(thm)],[c_3616,c_12924]) ).
tcf(c_15840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK1)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK3) ),
inference(superposition,[status(thm)],[c_3617,c_12924]) ).
tcf(c_15841,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),sK1)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_6874,c_12924]) ).
tcf(c_15842,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK4,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_6875,c_12924]) ).
tcf(c_15845,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK1)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK3) ),
inference(superposition,[status(thm)],[c_8914,c_12924]) ).
tcf(c_16125,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_15829,c_15673]) ).
tcf(c_16136,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),X1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK3,X0),sK4) ),
inference(superposition,[status(thm)],[c_16125,c_7357]) ).
tcf(c_16137,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),X1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_16125,c_7083]) ).
tcf(c_16153,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_15830,c_15671]) ).
tcf(c_16164,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),X1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_16153,c_7357]) ).
tcf(c_16165,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),X1)
| ~ subset(sK1,X1)
| ~ member(sK5(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_16153,c_7083]) ).
tcf(c_16185,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15841,c_933]) ).
tcf(c_16195,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),sK1) ),
inference(superposition,[status(thm)],[c_927,c_16185]) ).
tcf(c_16209,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,sK3),X1)
| member(sK5(intersection(sK4,sK3),X1),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_941,c_15842]) ).
tcf(c_16210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X2)
| member(sK5(intersection(sK4,X0),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_15842]) ).
tcf(c_16211,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X2)
| member(sK5(intersection(sK4,X0),X2),sK1)
| ~ subset(sK1,X1)
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_958,c_15842]) ).
tcf(c_16212,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK4,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_972,c_15842]) ).
tcf(c_16213,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X2)
| member(sK5(intersection(sK4,X0),X2),sK1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1166,c_15842]) ).
tcf(c_16214,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X1,sK3)),X2)
| member(sK5(intersection(sK4,intersection(X1,sK3)),X2),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1167,c_15842]) ).
tcf(c_16215,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(sK3,X1)),X2)
| member(sK5(intersection(sK4,intersection(sK3,X1)),X2),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1168,c_15842]) ).
tcf(c_16216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,image3(X1,X2,sK3)),X3)
| member(sK5(intersection(sK4,image3(X1,X2,sK3)),X3),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_15842]) ).
tcf(c_16217,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_15842]) ).
tcf(c_16320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_7220]) ).
tcf(c_16321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_6977]) ).
tcf(c_16322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X2,X0),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X2,X0),X3),X4),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_14895,c_1578]) ).
tcf(c_16323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_2293]) ).
tcf(c_16324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_2222]) ).
tcf(c_16326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_1345]) ).
tcf(c_16327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_1284]) ).
tcf(c_16328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_994]) ).
tcf(c_16329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ subset(X2,sK3)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_14895,c_1094]) ).
tcf(c_16431,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK1) ),
inference(superposition,[status(thm)],[c_941,c_15799]) ).
tcf(c_16432,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),sK1) ),
inference(superposition,[status(thm)],[c_948,c_15799]) ).
tcf(c_16434,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_958,c_15799]) ).
tcf(c_16435,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_972,c_15799]) ).
tcf(c_16436,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK3),X1),X2)
| member(sK5(intersection(intersection(X0,sK3),X1),X2),sK1) ),
inference(superposition,[status(thm)],[c_973,c_15799]) ).
tcf(c_16437,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK3,X0),X1),X2)
| member(sK5(intersection(intersection(sK3,X0),X1),X2),sK1) ),
inference(superposition,[status(thm)],[c_974,c_15799]) ).
tcf(c_16438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK3),X2),X3)
| member(sK5(intersection(image3(X0,X1,sK3),X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_975,c_15799]) ).
tcf(c_16439,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| member(sK5(intersection(X1,X0),X2),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1166,c_15799]) ).
tcf(c_16440,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK3)),X2)
| member(sK5(intersection(X0,intersection(X1,sK3)),X2),sK1) ),
inference(superposition,[status(thm)],[c_1167,c_15799]) ).
tcf(c_16441,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK3,X1)),X2)
| member(sK5(intersection(X0,intersection(sK3,X1)),X2),sK1) ),
inference(superposition,[status(thm)],[c_1168,c_15799]) ).
tcf(c_16442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK3)),X3)
| member(sK5(intersection(X0,image3(X1,X2,sK3)),X3),sK1) ),
inference(superposition,[status(thm)],[c_1171,c_15799]) ).
tcf(c_16443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK5(image3(X1,X2,X0),X3),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1238,c_15799]) ).
tcf(c_16444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK3)),X3)
| member(sK5(image3(X0,X1,intersection(X2,sK3)),X3),sK1) ),
inference(superposition,[status(thm)],[c_1239,c_15799]) ).
tcf(c_16445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK3,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK3,X2)),X3),sK1) ),
inference(superposition,[status(thm)],[c_1240,c_15799]) ).
tcf(c_16446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| member(sK5(image3(X0,X1,image3(X2,X3,sK3)),X4),sK1) ),
inference(superposition,[status(thm)],[c_1243,c_15799]) ).
tcf(c_16447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| member(sK5(intersection(intersection(X1,X0),X2),X3),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1640,c_15799]) ).
tcf(c_16448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK3)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(X1,sK3)),X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1641,c_15799]) ).
tcf(c_16449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK3,X1)),X2),X3)
| member(sK5(intersection(intersection(X0,intersection(sK3,X1)),X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1642,c_15799]) ).
tcf(c_16542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X2),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1721,c_54]) ).
tcf(c_16544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X0,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1721,c_12924]) ).
tcf(c_16545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1721,c_11170]) ).
tcf(c_16546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1721,c_10956]) ).
tcf(c_16547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X0,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK4) ),
inference(superposition,[status(thm)],[c_1721,c_7357]) ).
tcf(c_16548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X0,X4)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),sK3) ),
inference(superposition,[status(thm)],[c_1721,c_7083]) ).
tcf(c_16552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,X4),X5),X6)
| member(sK7(X1,X2,sK5(intersection(intersection(X0,X4),X5),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1721,c_67]) ).
tcf(c_16554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_6070]) ).
tcf(c_16555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_5860]) ).
tcf(c_16556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_5547]) ).
tcf(c_16557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_5271]) ).
tcf(c_16558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_4987]) ).
tcf(c_16559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_4986]) ).
tcf(c_16560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_4945]) ).
tcf(c_16561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_1721,c_15799]) ).
tcf(c_16563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1721,c_11950]) ).
tcf(c_16564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1721,c_11643]) ).
tcf(c_16565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X2),X3),X4)
| member(sK5(intersection(intersection(X0,X2),X3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_1721,c_7948]) ).
tcf(c_16695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_7220]) ).
tcf(c_16696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_6977]) ).
tcf(c_16697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,X3),X4),X5),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_16542,c_1578]) ).
tcf(c_16698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_2293]) ).
tcf(c_16699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_2222]) ).
tcf(c_16701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1345]) ).
tcf(c_16702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1284]) ).
tcf(c_16703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X0,X3)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_994]) ).
tcf(c_16704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X3)
| ~ member(X0,X4)
| ~ subset(X1,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1094]) ).
tcf(c_16705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X0,X4),X5)),X6)
| member(sK5(intersection(X3,intersection(intersection(X0,X4),X5)),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1915]) ).
tcf(c_16706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X0,X4),X5)),X6)
| member(sK5(intersection(X3,intersection(intersection(X0,X4),X5)),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1914]) ).
tcf(c_16707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,X3),X4),X5),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1580]) ).
tcf(c_16708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X0,X3),X4),X5),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_1579]) ).
tcf(c_16711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,intersection(intersection(X0,X5),X6)),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(intersection(X0,X5),X6)),X7),X8)),sK5(intersection(intersection(X4,intersection(intersection(X0,X5),X6)),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_2647]) ).
tcf(c_16712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(intersection(X0,X4),X5),X6),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(intersection(X0,X4),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(intersection(X0,X4),X5),X6),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_2644]) ).
tcf(c_16713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(intersection(X0,X5),X6)),X7)
| member(sK5(intersection(X4,intersection(intersection(X0,X5),X6)),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_1918]) ).
tcf(c_16714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,X4),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X0,X4),X5),X6),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_1583]) ).
tcf(c_16716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(intersection(X0,X5),X6)),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X0,X5),X6)),X7)),sK5(intersection(X4,intersection(intersection(X0,X5),X6)),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_1916]) ).
tcf(c_16720,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,X1),X2),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16542,c_12385]) ).
tcf(c_16855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_7220]) ).
tcf(c_16856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_6977]) ).
tcf(c_16857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,X2),X3),X4),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16720,c_1578]) ).
tcf(c_16858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_2293]) ).
tcf(c_16859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_2222]) ).
tcf(c_16861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_1345]) ).
tcf(c_16862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_1284]) ).
tcf(c_16863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(X0,sK3)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_994]) ).
tcf(c_16864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ subset(X1,sK3)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16720,c_1094]) ).
tcf(c_16944,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X2)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_16195,c_7357]) ).
tcf(c_16945,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),X2)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(sK3,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_16195,c_7083]) ).
tcf(c_16970,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),X2)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK4) ),
inference(superposition,[status(thm)],[c_16431,c_7357]) ).
tcf(c_16971,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),X2)
| ~ subset(sK1,X2)
| ~ member(sK5(intersection(X0,sK3),X1),sK3) ),
inference(superposition,[status(thm)],[c_16431,c_7083]) ).
tcf(c_16998,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X2)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK4) ),
inference(superposition,[status(thm)],[c_16434,c_7357]) ).
tcf(c_16999,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),X2)
| ~ subset(sK1,X2)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_16434,c_7083]) ).
tcf(c_17039,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_6414]) ).
tcf(c_17040,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_6414]) ).
tcf(c_17041,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_6414]) ).
tcf(c_17042,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_6414]) ).
tcf(c_17043,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_6414]) ).
tcf(c_17044,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_6414]) ).
tcf(c_17045,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_6414]) ).
tcf(c_17046,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_6414]) ).
tcf(c_17047,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_6414]) ).
tcf(c_17048,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_6414]) ).
tcf(c_17049,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_6414]) ).
tcf(c_17050,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_6414]) ).
tcf(c_17051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_6414]) ).
tcf(c_17052,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_6414]) ).
tcf(c_17053,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_6414]) ).
tcf(c_17054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_6414]) ).
tcf(c_17055,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_6414]) ).
tcf(c_17056,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_6414]) ).
tcf(c_17057,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_6414]) ).
tcf(c_17058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_6414]) ).
tcf(c_17059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_6414]) ).
tcf(c_17060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_6414]) ).
tcf(c_17061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_6414]) ).
tcf(c_17062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_6414]) ).
tcf(c_17063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_6414]) ).
tcf(c_17064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_6414]) ).
tcf(c_17065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_6414]) ).
tcf(c_17066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_6414]) ).
tcf(c_17067,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_6414]) ).
tcf(c_17068,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_6414]) ).
tcf(c_17069,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_6414]) ).
tcf(c_17070,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_6414]) ).
tcf(c_17071,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_6414]) ).
tcf(c_17072,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_6414]) ).
tcf(c_17073,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_6414]) ).
tcf(c_17074,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_6414]) ).
tcf(c_17075,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_6414]) ).
tcf(c_17076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_6414]) ).
tcf(c_17077,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_6414]) ).
tcf(c_17078,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_6414]) ).
tcf(c_17079,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_6414]) ).
tcf(c_17080,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_6414]) ).
tcf(c_17081,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_6414]) ).
tcf(c_17084,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_6414]) ).
tcf(c_17144,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17078,c_927]) ).
tcf(c_17289,plain,
! [X0: $i] :
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(X0,sK4,sK2))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),sK2)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK4)
| ~ apply(X0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))) ),
inference(instantiation,[status(thm)],[c_13821]) ).
tcf(c_17290,plain,
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,sK4,sK2))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),sK2)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK4)
| ~ apply(sK0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))) ),
inference(instantiation,[status(thm)],[c_17289]) ).
tcf(c_17366,plain,
! [X0: $i] :
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(X0,sK3,sK2))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),sK2)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK3)
| ~ apply(X0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))) ),
inference(instantiation,[status(thm)],[c_14028]) ).
tcf(c_17367,plain,
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,sK3,sK2))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),sK2)
| ~ member(sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK3)
| ~ apply(sK0,sK7(sK0,intersection(sK3,sK4),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))),sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))) ),
inference(instantiation,[status(thm)],[c_17366]) ).
tcf(c_17457,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_14454]) ).
tcf(c_17458,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_14454]) ).
tcf(c_17459,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_14454]) ).
tcf(c_17460,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_14454]) ).
tcf(c_17461,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_14454]) ).
tcf(c_17462,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_14454]) ).
tcf(c_17464,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_14454]) ).
tcf(c_17465,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_14454]) ).
tcf(c_17466,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_14454]) ).
tcf(c_17467,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_14454]) ).
tcf(c_17468,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_14454]) ).
tcf(c_17469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_14454]) ).
tcf(c_17471,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_14454]) ).
tcf(c_17472,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_14454]) ).
tcf(c_17473,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_14454]) ).
tcf(c_17474,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_14454]) ).
tcf(c_17475,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_14454]) ).
tcf(c_17476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_14454]) ).
tcf(c_17477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_14454]) ).
tcf(c_17478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_14454]) ).
tcf(c_17479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_14454]) ).
tcf(c_17480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_14454]) ).
tcf(c_17481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_14454]) ).
tcf(c_17482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_14454]) ).
tcf(c_17483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_14454]) ).
tcf(c_17484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_14454]) ).
tcf(c_17485,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_14454]) ).
tcf(c_17486,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_14454]) ).
tcf(c_17487,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_14454]) ).
tcf(c_17488,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_14454]) ).
tcf(c_17489,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_14454]) ).
tcf(c_17490,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_14454]) ).
tcf(c_17491,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_14454]) ).
tcf(c_17492,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_14454]) ).
tcf(c_17493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_14454]) ).
tcf(c_17494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_14454]) ).
tcf(c_17495,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_14454]) ).
tcf(c_17496,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_14454]) ).
tcf(c_17497,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_14454]) ).
tcf(c_17498,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_14454]) ).
tcf(c_17499,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_14454]) ).
tcf(c_17502,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_14454]) ).
tcf(c_17558,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17496,c_927]) ).
tcf(c_17785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7)),sK5(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7)) ),
inference(superposition,[status(thm)],[c_1639,c_2949]) ).
tcf(c_17786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7)),sK5(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7)) ),
inference(superposition,[status(thm)],[c_1720,c_2949]) ).
tcf(c_17790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8)),sK5(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_2779,c_2949]) ).
tcf(c_17791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8)),sK5(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8)) ),
inference(superposition,[status(thm)],[c_2985,c_2949]) ).
tcf(c_17792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8)),sK5(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_2949]) ).
tcf(c_17793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)),sK5(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)) ),
inference(superposition,[status(thm)],[c_3324,c_2949]) ).
tcf(c_17794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)),sK5(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)) ),
inference(superposition,[status(thm)],[c_3413,c_2949]) ).
tcf(c_17795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9)),sK5(intersection(X2,intersection(image3(X3,X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9)) ),
inference(superposition,[status(thm)],[c_4757,c_2949]) ).
tcf(c_17796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(sK3,X4),X5)),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(intersection(sK3,X4),X5)),X6)),sK5(intersection(X3,intersection(intersection(sK3,X4),X5)),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_2949]) ).
tcf(c_17797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(sK4,X4),X5)),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(intersection(sK4,X4),X5)),X6)),sK5(intersection(X3,intersection(intersection(sK4,X4),X5)),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_2949]) ).
tcf(c_17798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X4,sK3),X5)),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(intersection(X4,sK3),X5)),X6)),sK5(intersection(X3,intersection(intersection(X4,sK3),X5)),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_2949]) ).
tcf(c_17799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(intersection(intersection(X5,X0),X6),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(intersection(X5,X0),X6),X7)),X8)),sK5(intersection(X4,intersection(intersection(intersection(X5,X0),X6),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_2949]) ).
tcf(c_17800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6),X7)),X8)),sK5(intersection(X2,intersection(intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_15036,c_2949]) ).
tcf(c_17801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6),X7)),X8)),sK5(intersection(X2,intersection(intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_15347,c_2949]) ).
tcf(c_17802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(intersection(intersection(X0,X5),X6),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(intersection(X0,X5),X6),X7)),X8)),sK5(intersection(X4,intersection(intersection(intersection(X0,X5),X6),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_2949]) ).
tcf(c_17907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(intersection(X0,X1),X2),X3),X1),
inference(superposition,[status(thm)],[c_1722,c_54]) ).
tcf(c_17909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_1722,c_12924]) ).
tcf(c_17910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_1722,c_11170]) ).
tcf(c_17911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_1722,c_10956]) ).
tcf(c_17912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_1722,c_7357]) ).
tcf(c_17913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_1722,c_7083]) ).
tcf(c_17917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6)),X1) ),
inference(superposition,[status(thm)],[c_1722,c_67]) ).
tcf(c_17919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_14454]) ).
tcf(c_17920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_6414]) ).
tcf(c_17921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_6070]) ).
tcf(c_17922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_5860]) ).
tcf(c_17923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_5547]) ).
tcf(c_17924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_5271]) ).
tcf(c_17925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_4987]) ).
tcf(c_17926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_4986]) ).
tcf(c_17927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1722,c_4945]) ).
tcf(c_17928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK3),X1),X2),X3)
| member(sK5(intersection(intersection(intersection(X0,sK3),X1),X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1722,c_15799]) ).
tcf(c_17930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK4),X1),X2),X3)
| member(sK5(intersection(intersection(intersection(X0,sK4),X1),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_11950]) ).
tcf(c_17931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK4),X1),X2),X3)
| member(sK5(intersection(intersection(intersection(X0,sK4),X1),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_11643]) ).
tcf(c_17932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X1,sK4),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X1,sK4),X2),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1722,c_7948]) ).
tcf(c_18102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_7220]) ).
tcf(c_18103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_6977]) ).
tcf(c_18104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(intersection(X2,X0),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(intersection(X2,X0),X3),X4),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_17907,c_1578]) ).
tcf(c_18105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_2293]) ).
tcf(c_18106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_2222]) ).
tcf(c_18108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_1345]) ).
tcf(c_18109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_1284]) ).
tcf(c_18110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_994]) ).
tcf(c_18111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X2)
| ~ member(X0,X4)
| ~ member(X0,intersection(intersection(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_1094]) ).
tcf(c_18112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(intersection(X1,intersection(X2,X3)),X4),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(intersection(X1,intersection(X2,X3)),X4),X5)),X6),X2) ),
inference(superposition,[status(thm)],[c_17907,c_1915]) ).
tcf(c_18113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(intersection(X1,intersection(X2,X3)),X4),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(intersection(X1,intersection(X2,X3)),X4),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_17907,c_1914]) ).
tcf(c_18114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5),X6),X1) ),
inference(superposition,[status(thm)],[c_17907,c_1580]) ).
tcf(c_18115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_17907,c_1579]) ).
tcf(c_18118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6),X7)),X8)),sK5(intersection(X2,intersection(intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_17907,c_2949]) ).
tcf(c_18119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7),X8)),sK5(intersection(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_17907,c_2647]) ).
tcf(c_18120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_17907,c_2644]) ).
tcf(c_18121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(intersection(X1,image3(X2,X3,X4)),X5),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(intersection(X1,image3(X2,X3,X4)),X5),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_17907,c_1918]) ).
tcf(c_18122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_17907,c_1583]) ).
tcf(c_18128,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(intersection(X0,sK3),X1),X2),sK1),
inference(superposition,[status(thm)],[c_17907,c_12385]) ).
tcf(c_18284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(intersection(X0,X1),X2),X3),X0),
inference(superposition,[status(thm)],[c_1723,c_54]) ).
tcf(c_18294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)),X1) ),
inference(superposition,[status(thm)],[c_1723,c_67]) ).
tcf(c_18296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_14454]) ).
tcf(c_18297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_6414]) ).
tcf(c_18298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_6070]) ).
tcf(c_18299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_5860]) ).
tcf(c_18300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_5547]) ).
tcf(c_18301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_5271]) ).
tcf(c_18302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_4987]) ).
tcf(c_18303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_4986]) ).
tcf(c_18304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))) = sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)) ) ),
inference(superposition,[status(thm)],[c_1723,c_4945]) ).
tcf(c_18305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK3,X0),X1),X2),X3)
| member(sK5(intersection(intersection(intersection(sK3,X0),X1),X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1723,c_15799]) ).
tcf(c_18307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK4,X0),X1),X2),X3)
| member(sK5(intersection(intersection(intersection(sK4,X0),X1),X2),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_11950]) ).
tcf(c_18308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK4,X0),X1),X2),X3)
| member(sK5(intersection(intersection(intersection(sK4,X0),X1),X2),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_11643]) ).
tcf(c_18309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(sK4,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(sK4,X1),X2),X3),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1723,c_7948]) ).
tcf(c_18377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X0)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_7220]) ).
tcf(c_18378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X0)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_6977]) ).
tcf(c_18379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(intersection(X0,X2),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(intersection(X0,X2),X3),X4),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_18284,c_1578]) ).
tcf(c_18380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X0)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_2293]) ).
tcf(c_18381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X0)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_2222]) ).
tcf(c_18383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X0)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_1345]) ).
tcf(c_18384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X0)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_1284]) ).
tcf(c_18385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X0)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_994]) ).
tcf(c_18386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,X1)
| ~ member(X0,X4)
| ~ member(X0,intersection(intersection(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_1094]) ).
tcf(c_18387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(intersection(intersection(X1,X2),X3),X4),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(intersection(intersection(X1,X2),X3),X4),X5)),X6),X1) ),
inference(superposition,[status(thm)],[c_18284,c_1915]) ).
tcf(c_18388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(intersection(intersection(X1,X2),X3),X4),X5)),X6)
| member(sK5(intersection(X0,intersection(intersection(intersection(intersection(X1,X2),X3),X4),X5)),X6),X2) ),
inference(superposition,[status(thm)],[c_18284,c_1914]) ).
tcf(c_18389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5),X6),X0) ),
inference(superposition,[status(thm)],[c_18284,c_1580]) ).
tcf(c_18390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5),X6),X1) ),
inference(superposition,[status(thm)],[c_18284,c_1579]) ).
tcf(c_18393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6),X7)),X8)),sK5(intersection(X2,intersection(intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_18284,c_2949]) ).
tcf(c_18394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7),X8)),sK5(intersection(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_18284,c_2647]) ).
tcf(c_18395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7),X8)),sK5(intersection(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_18284,c_2644]) ).
tcf(c_18396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(intersection(image3(X1,X2,X3),X4),X5),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(intersection(image3(X1,X2,X3),X4),X5),X6)),X7),X3) ),
inference(superposition,[status(thm)],[c_18284,c_1918]) ).
tcf(c_18397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7),X2) ),
inference(superposition,[status(thm)],[c_18284,c_1583]) ).
tcf(c_18403,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(intersection(sK3,X0),X1),X2),sK1),
inference(superposition,[status(thm)],[c_18284,c_12385]) ).
tcf(c_18550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_7220]) ).
tcf(c_18551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_6977]) ).
tcf(c_18552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(intersection(X1,sK3),X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(intersection(X1,sK3),X2),X3),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_18128,c_1578]) ).
tcf(c_18553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_2293]) ).
tcf(c_18554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_2222]) ).
tcf(c_18556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_1345]) ).
tcf(c_18557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_1284]) ).
tcf(c_18558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_994]) ).
tcf(c_18559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,intersection(intersection(X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_1094]) ).
tcf(c_18607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_7220]) ).
tcf(c_18608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_6977]) ).
tcf(c_18609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(intersection(sK3,X1),X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(intersection(sK3,X1),X2),X3),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_18403,c_1578]) ).
tcf(c_18610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_2293]) ).
tcf(c_18611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_2222]) ).
tcf(c_18613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_1345]) ).
tcf(c_18614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_1284]) ).
tcf(c_18615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_994]) ).
tcf(c_18616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,intersection(intersection(sK3,X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_1094]) ).
tcf(c_18703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(X0,intersection(X3,sK3))
| ~ member(sK5(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_958,c_13080]) ).
tcf(c_18706,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,intersection(X2,sK3))
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_959,c_13080]) ).
tcf(c_18707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X0,intersection(X4,sK3))
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_972,c_13080]) ).
tcf(c_18710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_975,c_13080]) ).
tcf(c_18711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,intersection(X1,sK3),X2),X3)
| member(sK7(X0,intersection(X1,sK3),sK5(image3(X0,intersection(X1,sK3),X2),X3)),sK1)
| ~ member(sK7(X0,intersection(X1,sK3),sK5(image3(X0,intersection(X1,sK3),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1109,c_13080]) ).
tcf(c_18712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X1,intersection(X4,sK3))
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1166,c_13080]) ).
tcf(c_18713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK3))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,sK3))),X3),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,sK3))),X3),X4) ),
inference(superposition,[status(thm)],[c_1167,c_13080]) ).
tcf(c_18714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK3),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(X1,sK3),X2)),X3),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,sK3),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_1168,c_13080]) ).
tcf(c_18715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4),X5) ),
inference(superposition,[status(thm)],[c_1171,c_13080]) ).
tcf(c_18716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(X2,intersection(X5,sK3))
| ~ member(sK5(image3(X0,X1,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1238,c_13080]) ).
tcf(c_18717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,sK3))),X4)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,sK3))),X4),sK1)
| ~ member(sK5(image3(X0,X1,intersection(X2,intersection(X3,sK3))),X4),X5) ),
inference(superposition,[status(thm)],[c_1239,c_13080]) ).
tcf(c_18718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,sK3),X3)),X4)
| member(sK5(image3(X0,X1,intersection(intersection(X2,sK3),X3)),X4),sK1)
| ~ member(sK5(image3(X0,X1,intersection(intersection(X2,sK3),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_1240,c_13080]) ).
tcf(c_18719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(X4,sK3))),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,sK3))),X5),sK1)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,sK3))),X5),X6) ),
inference(superposition,[status(thm)],[c_1243,c_13080]) ).
tcf(c_18720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X1,intersection(X5,sK3))
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1640,c_13080]) ).
tcf(c_18721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(X2,sK3))),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,sK3))),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,sK3))),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1641,c_13080]) ).
tcf(c_18722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(intersection(X1,sK3),X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(intersection(X1,sK3),X2)),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(intersection(X1,sK3),X2)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1642,c_13080]) ).
tcf(c_18723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X0,intersection(X5,sK3))
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1721,c_13080]) ).
tcf(c_18724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,intersection(X1,sK3)),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,intersection(X1,sK3)),X2),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(intersection(X0,intersection(X1,sK3)),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1722,c_13080]) ).
tcf(c_18725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(intersection(X0,sK3),X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(intersection(X0,sK3),X1),X2),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(intersection(intersection(X0,sK3),X1),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1723,c_13080]) ).
tcf(c_18728,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(X0,sK3),sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,intersection(X0,sK3))
| ~ member(sK7(sK0,intersection(X0,sK3),sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3592,c_13080]) ).
tcf(c_18729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,intersection(X3,sK3))
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3612,c_13080]) ).
tcf(c_18730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X0,intersection(X1,sK3)),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,intersection(X1,sK3)))
| ~ member(sK7(sK0,intersection(X0,intersection(X1,sK3)),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3613,c_13080]) ).
tcf(c_18731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(intersection(X0,sK3),X1),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ member(X2,intersection(intersection(X0,sK3),X1))
| ~ member(sK7(sK0,intersection(intersection(X0,sK3),X1),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3614,c_13080]) ).
tcf(c_18732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X0,intersection(X1,sK3),sK7(sK0,image3(X0,intersection(X1,sK3),X2),sK6(sK0,sK2,X3))),sK1)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,intersection(X1,sK3),X2))
| ~ member(sK7(X0,intersection(X1,sK3),sK7(sK0,image3(X0,intersection(X1,sK3),X2),sK6(sK0,sK2,X3))),X4) ),
inference(superposition,[status(thm)],[c_3616,c_13080]) ).
tcf(c_18733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,intersection(X2,sK3)),sK6(sK0,sK2,X3)),sK1)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,intersection(X2,sK3)))
| ~ member(sK7(sK0,image3(X0,X1,intersection(X2,sK3)),sK6(sK0,sK2,X3)),X4) ),
inference(superposition,[status(thm)],[c_3617,c_13080]) ).
tcf(c_18735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,intersection(X3,sK3))
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_6875,c_13080]) ).
tcf(c_18937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(X0,intersection(sK3,X3))
| ~ member(sK5(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_958,c_13482]) ).
tcf(c_18940,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,intersection(sK3,X2))
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_959,c_13482]) ).
tcf(c_18941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X0,intersection(sK3,X4))
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_972,c_13482]) ).
tcf(c_18944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_975,c_13482]) ).
tcf(c_18945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,intersection(sK3,X1),X2),X3)
| member(sK7(X0,intersection(sK3,X1),sK5(image3(X0,intersection(sK3,X1),X2),X3)),sK1)
| ~ member(sK7(X0,intersection(sK3,X1),sK5(image3(X0,intersection(sK3,X1),X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1109,c_13482]) ).
tcf(c_18946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X1,intersection(sK3,X4))
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1166,c_13482]) ).
tcf(c_18947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK3,X2))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(sK3,X2))),X3),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(sK3,X2))),X3),X4) ),
inference(superposition,[status(thm)],[c_1167,c_13482]) ).
tcf(c_18948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(sK3,X1),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(sK3,X1),X2)),X3),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(sK3,X1),X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_1168,c_13482]) ).
tcf(c_18949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(sK3,X3))),X4)
| member(sK5(intersection(X0,image3(X1,X2,intersection(sK3,X3))),X4),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(sK3,X3))),X4),X5) ),
inference(superposition,[status(thm)],[c_1171,c_13482]) ).
tcf(c_18950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(X2,intersection(sK3,X5))
| ~ member(sK5(image3(X0,X1,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1238,c_13482]) ).
tcf(c_18951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(sK3,X3))),X4)
| member(sK5(image3(X0,X1,intersection(X2,intersection(sK3,X3))),X4),sK1)
| ~ member(sK5(image3(X0,X1,intersection(X2,intersection(sK3,X3))),X4),X5) ),
inference(superposition,[status(thm)],[c_1239,c_13482]) ).
tcf(c_18952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(intersection(sK3,X2),X3)),X4)
| member(sK5(image3(X0,X1,intersection(intersection(sK3,X2),X3)),X4),sK1)
| ~ member(sK5(image3(X0,X1,intersection(intersection(sK3,X2),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_1240,c_13482]) ).
tcf(c_18953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(sK3,X4))),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(sK3,X4))),X5),sK1)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,intersection(sK3,X4))),X5),X6) ),
inference(superposition,[status(thm)],[c_1243,c_13482]) ).
tcf(c_18954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X1,intersection(sK3,X5))
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1640,c_13482]) ).
tcf(c_18955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(sK3,X2))),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(sK3,X2))),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,intersection(sK3,X2))),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1641,c_13482]) ).
tcf(c_18956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(intersection(sK3,X1),X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(intersection(sK3,X1),X2)),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(intersection(sK3,X1),X2)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1642,c_13482]) ).
tcf(c_18957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X0,intersection(sK3,X5))
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1721,c_13482]) ).
tcf(c_18958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,intersection(sK3,X1)),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,intersection(sK3,X1)),X2),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(intersection(X0,intersection(sK3,X1)),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1722,c_13482]) ).
tcf(c_18959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(intersection(sK3,X0),X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(intersection(sK3,X0),X1),X2),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(intersection(intersection(sK3,X0),X1),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1723,c_13482]) ).
tcf(c_18962,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,intersection(sK3,X0),sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,intersection(sK3,X0))
| ~ member(sK7(sK0,intersection(sK3,X0),sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3592,c_13482]) ).
tcf(c_18963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,intersection(sK3,X3))
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3612,c_13482]) ).
tcf(c_18964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X0,intersection(sK3,X1)),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ member(X2,intersection(X0,intersection(sK3,X1)))
| ~ member(sK7(sK0,intersection(X0,intersection(sK3,X1)),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3613,c_13482]) ).
tcf(c_18965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(intersection(sK3,X0),X1),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ member(X2,intersection(intersection(sK3,X0),X1))
| ~ member(sK7(sK0,intersection(intersection(sK3,X0),X1),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3614,c_13482]) ).
tcf(c_18966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X0,intersection(sK3,X1),sK7(sK0,image3(X0,intersection(sK3,X1),X2),sK6(sK0,sK2,X3))),sK1)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,intersection(sK3,X1),X2))
| ~ member(sK7(X0,intersection(sK3,X1),sK7(sK0,image3(X0,intersection(sK3,X1),X2),sK6(sK0,sK2,X3))),X4) ),
inference(superposition,[status(thm)],[c_3616,c_13482]) ).
tcf(c_18967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,intersection(sK3,X2)),sK6(sK0,sK2,X3)),sK1)
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,intersection(sK3,X2)))
| ~ member(sK7(sK0,image3(X0,X1,intersection(sK3,X2)),sK6(sK0,sK2,X3)),X4) ),
inference(superposition,[status(thm)],[c_3617,c_13482]) ).
tcf(c_18969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,intersection(sK3,X3))
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_6875,c_13482]) ).
tcf(c_19227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,intersection(X4,sK3))
| ~ member(sK5(intersection(sK4,X0),X1),X3)
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_57,c_18735]) ).
tcf(c_19230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X3)
| member(sK5(intersection(sK4,X0),X3),sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,intersection(X1,sK3))
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_18735]) ).
tcf(c_19231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X3)
| member(sK5(intersection(sK4,X0),X3),sK1)
| ~ subset(sK1,intersection(X2,sK3))
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_958,c_18735]) ).
tcf(c_19232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK4,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_972,c_18735]) ).
tcf(c_19233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X1),X3)
| member(sK5(intersection(sK4,X1),X3),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_1166,c_18735]) ).
tcf(c_19234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X1,X2)),X3)
| member(sK5(intersection(sK4,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_1167,c_18735]) ).
tcf(c_19236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,image3(X1,X2,X3)),X4)
| member(sK5(intersection(sK4,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_1171,c_18735]) ).
tcf(c_19237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_6875,c_18735]) ).
tcf(c_19242,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,sK3),X1)
| member(sK5(intersection(sK4,sK3),X1),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_16431,c_18735]) ).
tcf(c_19314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,intersection(sK3,X4))
| ~ member(sK5(intersection(sK4,X0),X1),X3)
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_57,c_18969]) ).
tcf(c_19317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X3)
| member(sK5(intersection(sK4,X0),X3),sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,intersection(sK3,X1))
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_18969]) ).
tcf(c_19318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X3)
| member(sK5(intersection(sK4,X0),X3),sK1)
| ~ subset(sK1,intersection(sK3,X2))
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_958,c_18969]) ).
tcf(c_19319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK4,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_972,c_18969]) ).
tcf(c_19320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X1),X3)
| member(sK5(intersection(sK4,X1),X3),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_1166,c_18969]) ).
tcf(c_19321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X1,X2)),X3)
| member(sK5(intersection(sK4,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_1167,c_18969]) ).
tcf(c_19323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,image3(X1,X2,X3)),X4)
| member(sK5(intersection(sK4,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_1171,c_18969]) ).
tcf(c_19324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_18969]) ).
tcf(c_19329,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,sK3),X1)
| member(sK5(intersection(sK4,sK3),X1),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_16431,c_18969]) ).
tcf(c_19480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(X5,intersection(X0,X6))),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X0,X6))),X7)),sK5(intersection(X4,intersection(X5,intersection(X0,X6))),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_2952]) ).
tcf(c_19481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7)),sK5(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7)) ),
inference(superposition,[status(thm)],[c_1639,c_2952]) ).
tcf(c_19482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7)),sK5(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7)) ),
inference(superposition,[status(thm)],[c_1720,c_2952]) ).
tcf(c_19483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(X5,intersection(X6,X0))),X7)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X6,X0))),X7)),sK5(intersection(X4,intersection(X5,intersection(X6,X0))),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_2952]) ).
tcf(c_19484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7)) ),
inference(superposition,[status(thm)],[c_2010,c_2952]) ).
tcf(c_19485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7)) ),
inference(superposition,[status(thm)],[c_2079,c_2952]) ).
tcf(c_19486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8)),sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8)) ),
inference(superposition,[status(thm)],[c_2779,c_2952]) ).
tcf(c_19487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8)),sK5(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8)) ),
inference(superposition,[status(thm)],[c_2985,c_2952]) ).
tcf(c_19488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8)),sK5(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_2952]) ).
tcf(c_19489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8)),sK5(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8)) ),
inference(superposition,[status(thm)],[c_3324,c_2952]) ).
tcf(c_19490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7)))),X8)),sK5(intersection(X2,intersection(X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7)))),X8)) ),
inference(superposition,[status(thm)],[c_3413,c_2952]) ).
tcf(c_19491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8))))),X9)),sK5(intersection(X2,intersection(X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8))))),X9)) ),
inference(superposition,[status(thm)],[c_4757,c_2952]) ).
tcf(c_19492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(sK3,X5))),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(X4,intersection(sK3,X5))),X6)),sK5(intersection(X3,intersection(X4,intersection(sK3,X5))),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_2952]) ).
tcf(c_19493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(sK4,X5))),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(X4,intersection(sK4,X5))),X6)),sK5(intersection(X3,intersection(X4,intersection(sK4,X5))),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_2952]) ).
tcf(c_19494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X5,sK3))),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(X4,intersection(X5,sK3))),X6)),sK5(intersection(X3,intersection(X4,intersection(X5,sK3))),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_2952]) ).
tcf(c_19495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,intersection(intersection(X6,X0),X7))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(intersection(X6,X0),X7))),X8)),sK5(intersection(X4,intersection(X5,intersection(intersection(X6,X0),X7))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_2952]) ).
tcf(c_19496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7))),X8)),sK5(intersection(X2,intersection(X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7))),X8)) ),
inference(superposition,[status(thm)],[c_15036,c_2952]) ).
tcf(c_19497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7))),X8)),sK5(intersection(X2,intersection(X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7))),X8)) ),
inference(superposition,[status(thm)],[c_15347,c_2952]) ).
tcf(c_19498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,intersection(intersection(X0,X6),X7))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(intersection(X0,X6),X7))),X8)),sK5(intersection(X4,intersection(X5,intersection(intersection(X0,X6),X7))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_2952]) ).
tcf(c_19499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7))),X8)),sK5(intersection(X2,intersection(X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7))),X8)) ),
inference(superposition,[status(thm)],[c_17907,c_2952]) ).
tcf(c_19500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7))),X8)),sK5(intersection(X2,intersection(X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7))),X8)) ),
inference(superposition,[status(thm)],[c_18284,c_2952]) ).
tcf(c_19617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X0,X4)),X5)
| member(sK5(intersection(X3,intersection(X0,X4)),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1577,c_1913]) ).
tcf(c_19618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(intersection(X3,X0),X4)),X5)
| member(sK5(intersection(X2,intersection(intersection(X3,X0),X4)),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1639,c_1913]) ).
tcf(c_19619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(intersection(X0,X3),X4)),X5)
| member(sK5(intersection(X2,intersection(intersection(X0,X3),X4)),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1720,c_1913]) ).
tcf(c_19620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,X0)),X5)
| member(sK5(intersection(X3,intersection(X4,X0)),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1912,c_1913]) ).
tcf(c_19621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,X0))),X5)
| member(sK5(intersection(X2,intersection(X3,intersection(X4,X0))),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2010,c_1913]) ).
tcf(c_19622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(X3,intersection(X0,X4))),X5)
| member(sK5(intersection(X2,intersection(X3,intersection(X0,X4))),X5),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2079,c_1913]) ).
tcf(c_19623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,X0),X5)),X6)
| member(sK5(intersection(X2,intersection(image3(X3,X4,X0),X5)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2779,c_1913]) ).
tcf(c_19624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,X0))),X6)
| member(sK5(intersection(X2,intersection(X3,image3(X4,X5,X0))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2985,c_1913]) ).
tcf(c_19625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,image3(X4,X5,X0)),X6)
| member(sK5(intersection(X3,image3(X4,X5,X0)),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3113,c_1913]) ).
tcf(c_19626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,X0))),X6)
| member(sK5(intersection(X2,image3(X3,X4,intersection(X5,X0))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3324,c_1913]) ).
tcf(c_19627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X0,X5))),X6)
| member(sK5(intersection(X2,image3(X3,X4,intersection(X0,X5))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3413,c_1913]) ).
tcf(c_19628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X5,X6,X0))),X7)
| member(sK5(intersection(X2,image3(X3,X4,image3(X5,X6,X0))),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4757,c_1913]) ).
tcf(c_19629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK3,X3)),X4)
| member(sK5(intersection(X2,intersection(sK3,X3)),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_6976,c_1913]) ).
tcf(c_19630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7219,c_1913]) ).
tcf(c_19632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X3,sK3)),X4)
| member(sK5(intersection(X2,intersection(X3,sK3)),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10325,c_1913]) ).
tcf(c_19633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_10852,c_1913]) ).
tcf(c_19634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_10796,c_1913]) ).
tcf(c_19637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X0,X3)),X4)
| member(sK5(intersection(X2,intersection(X0,X3)),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_12512,c_1913]) ).
tcf(c_19638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(intersection(X2,sK3),X3)),X4)
| member(sK5(intersection(X1,intersection(intersection(X2,sK3),X3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12513,c_1913]) ).
tcf(c_19639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(intersection(sK3,X2),X3)),X4)
| member(sK5(intersection(X1,intersection(intersection(sK3,X2),X3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12514,c_1913]) ).
tcf(c_19640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X3,X0)),X4)
| member(sK5(intersection(X2,intersection(X3,X0)),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_12515,c_1913]) ).
tcf(c_19641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(X2,intersection(X3,sK3))),X4)
| member(sK5(intersection(X1,intersection(X2,intersection(X3,sK3))),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12516,c_1913]) ).
tcf(c_19642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(X2,intersection(sK3,X3))),X4)
| member(sK5(intersection(X1,intersection(X2,intersection(sK3,X3))),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12517,c_1913]) ).
tcf(c_19643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(image3(X2,X3,sK3),X4)),X5)
| member(sK5(intersection(X1,intersection(image3(X2,X3,sK3),X4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12518,c_1913]) ).
tcf(c_19644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(X2,image3(X3,X4,sK3))),X5)
| member(sK5(intersection(X1,intersection(X2,image3(X3,X4,sK3))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12519,c_1913]) ).
tcf(c_19645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X3,X4,X0)),X5)
| member(sK5(intersection(X2,image3(X3,X4,X0)),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_12520,c_1913]) ).
tcf(c_19646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,image3(X2,X3,intersection(X4,sK3))),X5)
| member(sK5(intersection(X1,image3(X2,X3,intersection(X4,sK3))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12521,c_1913]) ).
tcf(c_19647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,image3(X2,X3,intersection(sK3,X4))),X5)
| member(sK5(intersection(X1,image3(X2,X3,intersection(sK3,X4))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12522,c_1913]) ).
tcf(c_19648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,image3(X2,X3,image3(X4,X5,sK3))),X6)
| member(sK5(intersection(X1,image3(X2,X3,image3(X4,X5,sK3))),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_12523,c_1913]) ).
tcf(c_19649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X4,X0),X5)),X6)
| member(sK5(intersection(X3,intersection(intersection(X4,X0),X5)),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13923,c_1913]) ).
tcf(c_19650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(intersection(X3,X0),X4)),X5)
| member(sK5(intersection(X2,intersection(intersection(X3,X0),X4)),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_14895,c_1913]) ).
tcf(c_19651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X4,X0)),X5)),X6)
| member(sK5(intersection(X2,intersection(intersection(X3,intersection(X4,X0)),X5)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15036,c_1913]) ).
tcf(c_19652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(intersection(X2,intersection(X3,sK3)),X4)),X5)
| member(sK5(intersection(X1,intersection(intersection(X2,intersection(X3,sK3)),X4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_15224,c_1913]) ).
tcf(c_19653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X0,X4)),X5)),X6)
| member(sK5(intersection(X2,intersection(intersection(X3,intersection(X0,X4)),X5)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15347,c_1913]) ).
tcf(c_19654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(intersection(X2,intersection(sK3,X3)),X4)),X5)
| member(sK5(intersection(X1,intersection(intersection(X2,intersection(sK3,X3)),X4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_15586,c_1913]) ).
tcf(c_19655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(intersection(X0,X4),X5)),X6)
| member(sK5(intersection(X3,intersection(intersection(X0,X4),X5)),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_16542,c_1913]) ).
tcf(c_19656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(intersection(X0,X3),X4)),X5)
| member(sK5(intersection(X2,intersection(intersection(X0,X3),X4)),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16720,c_1913]) ).
tcf(c_19657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X3,X0),X4),X5)),X6)
| member(sK5(intersection(X2,intersection(intersection(intersection(X3,X0),X4),X5)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_17907,c_1913]) ).
tcf(c_19658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(intersection(intersection(X2,sK3),X3),X4)),X5)
| member(sK5(intersection(X1,intersection(intersection(intersection(X2,sK3),X3),X4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_18128,c_1913]) ).
tcf(c_19659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X0,X3),X4),X5)),X6)
| member(sK5(intersection(X2,intersection(intersection(intersection(X0,X3),X4),X5)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_18284,c_1913]) ).
tcf(c_19660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(intersection(intersection(sK3,X2),X3),X4)),X5)
| member(sK5(intersection(X1,intersection(intersection(intersection(sK3,X2),X3),X4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_18403,c_1913]) ).
tcf(c_20017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(X3,X0)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2011,c_54]) ).
tcf(c_20019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X2,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_2011,c_12924]) ).
tcf(c_20020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X2,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_2011,c_11170]) ).
tcf(c_20021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_2011,c_10956]) ).
tcf(c_20022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_2011,c_7357]) ).
tcf(c_20023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X2,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_2011,c_7083]) ).
tcf(c_20027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,intersection(X5,X0)),X6)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(X5,X0)),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2011,c_67]) ).
tcf(c_20029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_14454]) ).
tcf(c_20030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_6414]) ).
tcf(c_20031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_6070]) ).
tcf(c_20032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_5860]) ).
tcf(c_20033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_5547]) ).
tcf(c_20034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_5271]) ).
tcf(c_20035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_4987]) ).
tcf(c_20036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_4986]) ).
tcf(c_20037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))) = sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_4945]) ).
tcf(c_20038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| member(sK5(intersection(X1,intersection(X2,X0)),X3),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2011,c_15799]) ).
tcf(c_20040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| member(sK5(intersection(X1,intersection(X2,X0)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2011,c_11950]) ).
tcf(c_20041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| member(sK5(intersection(X1,intersection(X2,X0)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2011,c_11643]) ).
tcf(c_20042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X3,X0)),X4)
| member(sK5(intersection(X2,intersection(X3,X0)),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2011,c_7948]) ).
tcf(c_20043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X3,X1)),X4)
| member(sK5(intersection(sK4,intersection(X3,X1)),X4),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2011,c_18969]) ).
tcf(c_20044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X3,X1)),X4)
| member(sK5(intersection(sK4,intersection(X3,X1)),X4),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2011,c_18735]) ).
tcf(c_20045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X2,intersection(X5,sK3))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2011,c_13080]) ).
tcf(c_20046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X2,intersection(sK3,X5))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2011,c_13482]) ).
tcf(c_20281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X5,X0))),X6)
| member(sK5(intersection(X3,intersection(X4,intersection(X5,X0))),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_20017,c_1913]) ).
tcf(c_20282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_7220]) ).
tcf(c_20283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_6977]) ).
tcf(c_20284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X4,X0)),X5),X6)
| member(sK5(intersection(intersection(X3,intersection(X4,X0)),X5),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_20017,c_1578]) ).
tcf(c_20285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_2293]) ).
tcf(c_20286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_2222]) ).
tcf(c_20288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_1345]) ).
tcf(c_20289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_1284]) ).
tcf(c_20290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_994]) ).
tcf(c_20292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X5,X0))),X6)
| member(sK5(intersection(X3,intersection(X4,intersection(X5,X0))),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_1915]) ).
tcf(c_20293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X5,X0))),X6)
| member(sK5(intersection(X3,intersection(X4,intersection(X5,X0))),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_1914]) ).
tcf(c_20294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X4,X0)),X5),X6)
| member(sK5(intersection(intersection(X3,intersection(X4,X0)),X5),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_1580]) ).
tcf(c_20295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X4,X0)),X5),X6)
| member(sK5(intersection(intersection(X3,intersection(X4,X0)),X5),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_1579]) ).
tcf(c_20298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,intersection(X6,intersection(X7,X0)))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X6,intersection(X7,X0)))),X8)),sK5(intersection(X4,intersection(X5,intersection(X6,intersection(X7,X0)))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_2952]) ).
tcf(c_20299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(intersection(X5,intersection(X6,X0)),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X5,intersection(X6,X0)),X7)),X8)),sK5(intersection(X4,intersection(intersection(X5,intersection(X6,X0)),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_2949]) ).
tcf(c_20300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,intersection(X5,intersection(X6,X0))),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X5,intersection(X6,X0))),X7),X8)),sK5(intersection(intersection(X4,intersection(X5,intersection(X6,X0))),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_2647]) ).
tcf(c_20301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X4,intersection(X5,X0)),X6),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(X4,intersection(X5,X0)),X6),X7),X8)),sK5(intersection(intersection(intersection(X4,intersection(X5,X0)),X6),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_2644]) ).
tcf(c_20302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(X5,intersection(X6,X0))),X7)
| member(sK5(intersection(X4,intersection(X5,intersection(X6,X0))),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_1918]) ).
tcf(c_20303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X4,intersection(X5,X0)),X6),X7)
| member(sK5(intersection(intersection(X4,intersection(X5,X0)),X6),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_1583]) ).
tcf(c_20309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,intersection(X2,X0)),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_20017,c_12385]) ).
tcf(c_20482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(X1,intersection(X2,X3))),X3),
inference(superposition,[status(thm)],[c_2012,c_54]) ).
tcf(c_20484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK3) ),
inference(superposition,[status(thm)],[c_2012,c_12924]) ).
tcf(c_20485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK4) ),
inference(superposition,[status(thm)],[c_2012,c_11170]) ).
tcf(c_20486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK4) ),
inference(superposition,[status(thm)],[c_2012,c_10956]) ).
tcf(c_20487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK4) ),
inference(superposition,[status(thm)],[c_2012,c_7357]) ).
tcf(c_20488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK3) ),
inference(superposition,[status(thm)],[c_2012,c_7083]) ).
tcf(c_20492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6)),X1) ),
inference(superposition,[status(thm)],[c_2012,c_67]) ).
tcf(c_20494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_14454]) ).
tcf(c_20495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_6414]) ).
tcf(c_20496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_6070]) ).
tcf(c_20497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_5860]) ).
tcf(c_20498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_5547]) ).
tcf(c_20499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_5271]) ).
tcf(c_20500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_4987]) ).
tcf(c_20501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_4986]) ).
tcf(c_20502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)) ) ),
inference(superposition,[status(thm)],[c_2012,c_4945]) ).
tcf(c_20503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK3))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,sK3))),X3),sK1) ),
inference(superposition,[status(thm)],[c_2012,c_15799]) ).
tcf(c_20505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK4))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,sK4))),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_11950]) ).
tcf(c_20506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK4))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,sK4))),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_11643]) ).
tcf(c_20507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(X2,intersection(X3,sK4))),X4)
| member(sK5(intersection(X1,intersection(X2,intersection(X3,sK4))),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2012,c_7948]) ).
tcf(c_20508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(sK4,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2012,c_18969]) ).
tcf(c_20509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(sK4,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2012,c_18735]) ).
tcf(c_20510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(X3,sK3)))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,sK3)))),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,sK3)))),X4),X5) ),
inference(superposition,[status(thm)],[c_2012,c_13080]) ).
tcf(c_20511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(sK3,X3)))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(sK3,X3)))),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(sK3,X3)))),X4),X5) ),
inference(superposition,[status(thm)],[c_2012,c_13482]) ).
tcf(c_20664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X5,X0)))),X6)
| member(sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,X0)))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_20482,c_1913]) ).
tcf(c_20665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_7220]) ).
tcf(c_20666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_6977]) ).
tcf(c_20667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X4,X0))),X5),X6)
| member(sK5(intersection(intersection(X2,intersection(X3,intersection(X4,X0))),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_20482,c_1578]) ).
tcf(c_20668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_2293]) ).
tcf(c_20669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_2222]) ).
tcf(c_20671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_1345]) ).
tcf(c_20672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_1284]) ).
tcf(c_20673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_994]) ).
tcf(c_20675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(X3,intersection(X4,X5))))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,intersection(X4,X5))))),X6),X4) ),
inference(superposition,[status(thm)],[c_20482,c_1915]) ).
tcf(c_20676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(X3,intersection(X4,X5))))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,intersection(X4,X5))))),X6),X5) ),
inference(superposition,[status(thm)],[c_20482,c_1914]) ).
tcf(c_20677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_20482,c_1580]) ).
tcf(c_20678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,intersection(X3,X4)))),X5),X6),X4) ),
inference(superposition,[status(thm)],[c_20482,c_1579]) ).
tcf(c_20681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7)))))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7)))))),X8)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7)))))),X8)) ),
inference(superposition,[status(thm)],[c_20482,c_2952]) ).
tcf(c_20682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7)),X8)),sK5(intersection(X2,intersection(intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7)),X8)) ),
inference(superposition,[status(thm)],[c_20482,c_2949]) ).
tcf(c_20683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7),X8)),sK5(intersection(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7),X8)) ),
inference(superposition,[status(thm)],[c_20482,c_2647]) ).
tcf(c_20684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7),X8)),sK5(intersection(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_20482,c_2644]) ).
tcf(c_20685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(X3,image3(X4,X5,X6))))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(X3,image3(X4,X5,X6))))),X7),X6) ),
inference(superposition,[status(thm)],[c_20482,c_1918]) ).
tcf(c_20686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,X5)))),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,X5)))),X6),X7),X5) ),
inference(superposition,[status(thm)],[c_20482,c_1583]) ).
tcf(c_20692,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(X1,intersection(X2,sK3))),sK1),
inference(superposition,[status(thm)],[c_20482,c_12385]) ).
tcf(c_20800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(X2,intersection(X3,intersection(X4,sK3)))),X5)
| member(sK5(intersection(X1,intersection(X2,intersection(X3,intersection(X4,sK3)))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_20692,c_1913]) ).
tcf(c_20801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_7220]) ).
tcf(c_20802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_6977]) ).
tcf(c_20803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X1,intersection(X2,intersection(X3,sK3))),X4),X5)
| member(sK5(intersection(intersection(X1,intersection(X2,intersection(X3,sK3))),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_20692,c_1578]) ).
tcf(c_20804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_2293]) ).
tcf(c_20805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_2222]) ).
tcf(c_20807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_1345]) ).
tcf(c_20808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_1284]) ).
tcf(c_20809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_994]) ).
tcf(c_20906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,X0))),X5)
| member(sK5(intersection(X2,intersection(X3,intersection(X4,X0))),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_20309,c_1913]) ).
tcf(c_20907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_7220]) ).
tcf(c_20908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_6977]) ).
tcf(c_20909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X2,intersection(X3,X0)),X4),X5)
| member(sK5(intersection(intersection(X2,intersection(X3,X0)),X4),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_20309,c_1578]) ).
tcf(c_20910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_2293]) ).
tcf(c_20911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_2222]) ).
tcf(c_20913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_1345]) ).
tcf(c_20914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_1284]) ).
tcf(c_20915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ subset(sK2,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_994]) ).
tcf(c_20971,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_17052]) ).
tcf(c_20972,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_17052]) ).
tcf(c_20973,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_17052]) ).
tcf(c_20974,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_17052]) ).
tcf(c_20975,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_17052]) ).
tcf(c_20976,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_17052]) ).
tcf(c_20977,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_17052]) ).
tcf(c_20978,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_17052]) ).
tcf(c_20979,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_17052]) ).
tcf(c_20980,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_17052]) ).
tcf(c_20981,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_17052]) ).
tcf(c_20982,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_17052]) ).
tcf(c_20983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_17052]) ).
tcf(c_20984,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_17052]) ).
tcf(c_20985,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_17052]) ).
tcf(c_20986,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_17052]) ).
tcf(c_20987,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_17052]) ).
tcf(c_20988,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_17052]) ).
tcf(c_20989,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_17052]) ).
tcf(c_20990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_17052]) ).
tcf(c_20991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_17052]) ).
tcf(c_20992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_17052]) ).
tcf(c_20993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_17052]) ).
tcf(c_20994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_17052]) ).
tcf(c_20995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_17052]) ).
tcf(c_20996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_17052]) ).
tcf(c_20997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_17052]) ).
tcf(c_20998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_17052]) ).
tcf(c_20999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_17052]) ).
tcf(c_21000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_17052]) ).
tcf(c_21001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_17052]) ).
tcf(c_21002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_17052]) ).
tcf(c_21003,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_17052]) ).
tcf(c_21004,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_17052]) ).
tcf(c_21005,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_17052]) ).
tcf(c_21006,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_17052]) ).
tcf(c_21007,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_17052]) ).
tcf(c_21008,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_17052]) ).
tcf(c_21009,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_17052]) ).
tcf(c_21010,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_17052]) ).
tcf(c_21011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_17052]) ).
tcf(c_21012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_17052]) ).
tcf(c_21013,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_17052]) ).
tcf(c_21014,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_17052]) ).
tcf(c_21015,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_17052]) ).
tcf(c_21016,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_17052]) ).
tcf(c_21017,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_17052]) ).
tcf(c_21020,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_17052]) ).
tcf(c_21080,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21014,c_927]) ).
tcf(c_21364,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_17471]) ).
tcf(c_21365,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_17471]) ).
tcf(c_21366,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_17471]) ).
tcf(c_21367,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_17471]) ).
tcf(c_21368,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_17471]) ).
tcf(c_21369,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_17471]) ).
tcf(c_21371,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_17471]) ).
tcf(c_21372,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_17471]) ).
tcf(c_21373,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_17471]) ).
tcf(c_21374,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_17471]) ).
tcf(c_21375,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_17471]) ).
tcf(c_21376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_17471]) ).
tcf(c_21378,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_17471]) ).
tcf(c_21379,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_17471]) ).
tcf(c_21380,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_17471]) ).
tcf(c_21381,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_17471]) ).
tcf(c_21382,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_17471]) ).
tcf(c_21383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_17471]) ).
tcf(c_21384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_17471]) ).
tcf(c_21385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_17471]) ).
tcf(c_21386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_17471]) ).
tcf(c_21387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_17471]) ).
tcf(c_21388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_17471]) ).
tcf(c_21389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_17471]) ).
tcf(c_21390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_17471]) ).
tcf(c_21391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_17471]) ).
tcf(c_21392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_17471]) ).
tcf(c_21393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_17471]) ).
tcf(c_21394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_17471]) ).
tcf(c_21395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_17471]) ).
tcf(c_21396,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_17471]) ).
tcf(c_21397,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_17471]) ).
tcf(c_21398,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_17471]) ).
tcf(c_21399,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_17471]) ).
tcf(c_21400,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_17471]) ).
tcf(c_21401,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_17471]) ).
tcf(c_21402,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_17471]) ).
tcf(c_21403,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_17471]) ).
tcf(c_21404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_17471]) ).
tcf(c_21405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_17471]) ).
tcf(c_21406,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_17471]) ).
tcf(c_21407,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_17471]) ).
tcf(c_21408,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_17471]) ).
tcf(c_21409,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_17471]) ).
tcf(c_21410,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_17471]) ).
tcf(c_21413,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_17471]) ).
tcf(c_21469,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21407,c_927]) ).
tcf(c_21724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,intersection(X0,X6)),X7)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(X0,X6)),X7)),sK5(image3(X4,X5,intersection(X0,X6)),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_3117]) ).
tcf(c_21725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7)),sK5(image3(X2,X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7)) ),
inference(superposition,[status(thm)],[c_1639,c_3117]) ).
tcf(c_21726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7)),sK5(image3(X2,X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7)) ),
inference(superposition,[status(thm)],[c_1720,c_3117]) ).
tcf(c_21727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,intersection(X6,X0)),X7)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(X6,X0)),X7)),sK5(image3(X4,X5,intersection(X6,X0)),X7))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_3117]) ).
tcf(c_21728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7)),sK5(image3(X2,X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7)) ),
inference(superposition,[status(thm)],[c_2010,c_3117]) ).
tcf(c_21729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7)),sK5(image3(X2,X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7)) ),
inference(superposition,[status(thm)],[c_2079,c_3117]) ).
tcf(c_21730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8)),sK5(image3(X2,X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8)) ),
inference(superposition,[status(thm)],[c_2779,c_3117]) ).
tcf(c_21731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8)),sK5(image3(X2,X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8)) ),
inference(superposition,[status(thm)],[c_2985,c_3117]) ).
tcf(c_21732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,image3(X6,X7,X0)),X8)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,image3(X6,X7,X0)),X8)),sK5(image3(X4,X5,image3(X6,X7,X0)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_3117]) ).
tcf(c_21733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8)),sK5(image3(X2,X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8)) ),
inference(superposition,[status(thm)],[c_3324,c_3117]) ).
tcf(c_21734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7))),X8)),sK5(image3(X2,X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7))),X8)) ),
inference(superposition,[status(thm)],[c_3413,c_3117]) ).
tcf(c_21735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8)))),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8)))),X9)),sK5(image3(X2,X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8)))),X9)) ),
inference(superposition,[status(thm)],[c_4757,c_3117]) ).
tcf(c_21736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(sK3,X5)),X6)
| apply(X0,sK7(X0,X1,sK5(image3(X3,X4,intersection(sK3,X5)),X6)),sK5(image3(X3,X4,intersection(sK3,X5)),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_3117]) ).
tcf(c_21737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(sK4,X5)),X6)
| apply(X0,sK7(X0,X1,sK5(image3(X3,X4,intersection(sK4,X5)),X6)),sK5(image3(X3,X4,intersection(sK4,X5)),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_3117]) ).
tcf(c_21738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(X5,sK3)),X6)
| apply(X0,sK7(X0,X1,sK5(image3(X3,X4,intersection(X5,sK3)),X6)),sK5(image3(X3,X4,intersection(X5,sK3)),X6))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_3117]) ).
tcf(c_21739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8)),sK5(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_3117]) ).
tcf(c_21740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)),sK5(image3(X2,X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)) ),
inference(superposition,[status(thm)],[c_15036,c_3117]) ).
tcf(c_21741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)),sK5(image3(X2,X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)) ),
inference(superposition,[status(thm)],[c_15347,c_3117]) ).
tcf(c_21742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8)),sK5(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_3117]) ).
tcf(c_21743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7)),X8)),sK5(image3(X2,X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_17907,c_3117]) ).
tcf(c_21744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7)),X8)),sK5(image3(X2,X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7)),X8)) ),
inference(superposition,[status(thm)],[c_18284,c_3117]) ).
tcf(c_21745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8)),sK5(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_3117]) ).
tcf(c_21746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8)),sK5(image3(X2,X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8)) ),
inference(superposition,[status(thm)],[c_20482,c_3117]) ).
tcf(c_21891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(X1,intersection(X2,X3))),X2),
inference(superposition,[status(thm)],[c_2013,c_54]) ).
tcf(c_21901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6)),X1) ),
inference(superposition,[status(thm)],[c_2013,c_67]) ).
tcf(c_21903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_17471]) ).
tcf(c_21904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_17052]) ).
tcf(c_21905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_14454]) ).
tcf(c_21906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_6414]) ).
tcf(c_21907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_6070]) ).
tcf(c_21908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_5860]) ).
tcf(c_21909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_5547]) ).
tcf(c_21910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_5271]) ).
tcf(c_21911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_4987]) ).
tcf(c_21912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_4986]) ).
tcf(c_21913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)) ) ),
inference(superposition,[status(thm)],[c_2013,c_4945]) ).
tcf(c_21914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK3,X2))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(sK3,X2))),X3),sK1) ),
inference(superposition,[status(thm)],[c_2013,c_15799]) ).
tcf(c_21916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK4,X2))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(sK4,X2))),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_11950]) ).
tcf(c_21917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK4,X2))),X3)
| member(sK5(intersection(X0,intersection(X1,intersection(sK4,X2))),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_11643]) ).
tcf(c_21918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(X2,intersection(sK4,X3))),X4)
| member(sK5(intersection(X1,intersection(X2,intersection(sK4,X3))),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2013,c_7948]) ).
tcf(c_21921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(X2,sK3),X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,sK3),X3))),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,sK3),X3))),X4),X5) ),
inference(superposition,[status(thm)],[c_2013,c_13080]) ).
tcf(c_21922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(sK3,X2),X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(sK3,X2),X3))),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(intersection(sK3,X2),X3))),X4),X5) ),
inference(superposition,[status(thm)],[c_2013,c_13482]) ).
tcf(c_22067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X0,X5)))),X6)
| member(sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X0,X5)))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_21891,c_1913]) ).
tcf(c_22068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_7220]) ).
tcf(c_22069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_6977]) ).
tcf(c_22070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X0,X4))),X5),X6)
| member(sK5(intersection(intersection(X2,intersection(X3,intersection(X0,X4))),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_21891,c_1578]) ).
tcf(c_22071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_2293]) ).
tcf(c_22072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_2222]) ).
tcf(c_22074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_1345]) ).
tcf(c_22075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_1284]) ).
tcf(c_22076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_994]) ).
tcf(c_22078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(intersection(X3,X4),X5)))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(intersection(X3,X4),X5)))),X6),X3) ),
inference(superposition,[status(thm)],[c_21891,c_1915]) ).
tcf(c_22079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(intersection(X3,X4),X5)))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(intersection(X3,X4),X5)))),X6),X4) ),
inference(superposition,[status(thm)],[c_21891,c_1914]) ).
tcf(c_22080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_21891,c_1580]) ).
tcf(c_22081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(intersection(X2,X3),X4))),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_21891,c_1579]) ).
tcf(c_22084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8)),sK5(image3(X2,X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8)) ),
inference(superposition,[status(thm)],[c_21891,c_3117]) ).
tcf(c_22085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7))))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7))))),X8)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7))))),X8)) ),
inference(superposition,[status(thm)],[c_21891,c_2952]) ).
tcf(c_22086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7)),X8)),sK5(intersection(X2,intersection(intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7)),X8)) ),
inference(superposition,[status(thm)],[c_21891,c_2949]) ).
tcf(c_22087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7),X8)),sK5(intersection(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7),X8)) ),
inference(superposition,[status(thm)],[c_21891,c_2647]) ).
tcf(c_22088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7),X8)),sK5(intersection(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_21891,c_2644]) ).
tcf(c_22089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,intersection(image3(X3,X4,X5),X6)))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,intersection(image3(X3,X4,X5),X6)))),X7),X5) ),
inference(superposition,[status(thm)],[c_21891,c_1918]) ).
tcf(c_22090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(X1,intersection(image3(X2,X3,X4),X5))),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(X1,intersection(image3(X2,X3,X4),X5))),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_21891,c_1583]) ).
tcf(c_22096,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(X1,intersection(sK3,X2))),sK1),
inference(superposition,[status(thm)],[c_21891,c_12385]) ).
tcf(c_22222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(X0,X3)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2080,c_54]) ).
tcf(c_22224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_2080,c_12924]) ).
tcf(c_22225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_2080,c_11170]) ).
tcf(c_22226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_2080,c_10956]) ).
tcf(c_22227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_2080,c_7357]) ).
tcf(c_22228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),sK3) ),
inference(superposition,[status(thm)],[c_2080,c_7083]) ).
tcf(c_22232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,intersection(X0,X5)),X6)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(X0,X5)),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2080,c_67]) ).
tcf(c_22234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_17471]) ).
tcf(c_22235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_17052]) ).
tcf(c_22236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_14454]) ).
tcf(c_22237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_6414]) ).
tcf(c_22238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_6070]) ).
tcf(c_22239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_5860]) ).
tcf(c_22240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_5547]) ).
tcf(c_22241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_5271]) ).
tcf(c_22242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_4987]) ).
tcf(c_22243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_4986]) ).
tcf(c_22244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))) = sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_4945]) ).
tcf(c_22245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| member(sK5(intersection(X1,intersection(X0,X2)),X3),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2080,c_15799]) ).
tcf(c_22247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| member(sK5(intersection(X1,intersection(X0,X2)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2080,c_11950]) ).
tcf(c_22248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| member(sK5(intersection(X1,intersection(X0,X2)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2080,c_11643]) ).
tcf(c_22249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X0,X3)),X4)
| member(sK5(intersection(X2,intersection(X0,X3)),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2080,c_7948]) ).
tcf(c_22250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X1,X3)),X4)
| member(sK5(intersection(sK4,intersection(X1,X3)),X4),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2080,c_18969]) ).
tcf(c_22251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X1,X3)),X4)
| member(sK5(intersection(sK4,intersection(X1,X3)),X4),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2080,c_18735]) ).
tcf(c_22252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X1,intersection(X5,sK3))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2080,c_13080]) ).
tcf(c_22253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X1,intersection(sK3,X5))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2080,c_13482]) ).
tcf(c_22410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X0,X5))),X6)
| member(sK5(intersection(X3,intersection(X4,intersection(X0,X5))),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_22222,c_1913]) ).
tcf(c_22411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_7220]) ).
tcf(c_22412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_6977]) ).
tcf(c_22413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X0,X4)),X5),X6)
| member(sK5(intersection(intersection(X3,intersection(X0,X4)),X5),X6),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_22222,c_1578]) ).
tcf(c_22414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_2293]) ).
tcf(c_22415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_2222]) ).
tcf(c_22417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_1345]) ).
tcf(c_22418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_1284]) ).
tcf(c_22419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X1,X3)
| ~ subset(sK2,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_994]) ).
tcf(c_22421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X0,X5))),X6)
| member(sK5(intersection(X3,intersection(X4,intersection(X0,X5))),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_1915]) ).
tcf(c_22422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,intersection(X4,intersection(X0,X5))),X6)
| member(sK5(intersection(X3,intersection(X4,intersection(X0,X5))),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_1914]) ).
tcf(c_22423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X0,X4)),X5),X6)
| member(sK5(intersection(intersection(X3,intersection(X0,X4)),X5),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_1580]) ).
tcf(c_22424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X3,intersection(X0,X4)),X5),X6)
| member(sK5(intersection(intersection(X3,intersection(X0,X4)),X5),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_1579]) ).
tcf(c_22427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8)),sK5(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_3117]) ).
tcf(c_22428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,intersection(X6,intersection(X0,X7)))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X6,intersection(X0,X7)))),X8)),sK5(intersection(X4,intersection(X5,intersection(X6,intersection(X0,X7)))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_2952]) ).
tcf(c_22429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(intersection(X5,intersection(X0,X6)),X7)),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X5,intersection(X0,X6)),X7)),X8)),sK5(intersection(X4,intersection(intersection(X5,intersection(X0,X6)),X7)),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_2949]) ).
tcf(c_22430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,intersection(X5,intersection(X0,X6))),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X5,intersection(X0,X6))),X7),X8)),sK5(intersection(intersection(X4,intersection(X5,intersection(X0,X6))),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_2647]) ).
tcf(c_22431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X4,intersection(X0,X5)),X6),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(X4,intersection(X0,X5)),X6),X7),X8)),sK5(intersection(intersection(intersection(X4,intersection(X0,X5)),X6),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_2644]) ).
tcf(c_22432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(X5,intersection(X0,X6))),X7)
| member(sK5(intersection(X4,intersection(X5,intersection(X0,X6))),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_1918]) ).
tcf(c_22433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X4,intersection(X0,X5)),X6),X7)
| member(sK5(intersection(intersection(X4,intersection(X0,X5)),X6),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_1583]) ).
tcf(c_22439,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,intersection(X0,X2)),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_22222,c_12385]) ).
tcf(c_22579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(X2,intersection(X3,intersection(sK3,X4)))),X5)
| member(sK5(intersection(X1,intersection(X2,intersection(X3,intersection(sK3,X4)))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_22096,c_1913]) ).
tcf(c_22580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_7220]) ).
tcf(c_22581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_6977]) ).
tcf(c_22582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X1,intersection(X2,intersection(sK3,X3))),X4),X5)
| member(sK5(intersection(intersection(X1,intersection(X2,intersection(sK3,X3))),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_22096,c_1578]) ).
tcf(c_22583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_2293]) ).
tcf(c_22584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_2222]) ).
tcf(c_22586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_1345]) ).
tcf(c_22587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_1284]) ).
tcf(c_22588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_994]) ).
tcf(c_22674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(X3,intersection(X0,X4))),X5)
| member(sK5(intersection(X2,intersection(X3,intersection(X0,X4))),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_22439,c_1913]) ).
tcf(c_22675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_7220]) ).
tcf(c_22676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_6977]) ).
tcf(c_22677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X2,intersection(X0,X3)),X4),X5)
| member(sK5(intersection(intersection(X2,intersection(X0,X3)),X4),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_22439,c_1578]) ).
tcf(c_22678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_2293]) ).
tcf(c_22679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_2222]) ).
tcf(c_22681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_1345]) ).
tcf(c_22682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_1284]) ).
tcf(c_22683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ subset(sK2,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_994]) ).
tcf(c_22735,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_20984]) ).
tcf(c_22736,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_20984]) ).
tcf(c_22737,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_20984]) ).
tcf(c_22738,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_20984]) ).
tcf(c_22739,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_20984]) ).
tcf(c_22740,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_20984]) ).
tcf(c_22741,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_20984]) ).
tcf(c_22742,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_20984]) ).
tcf(c_22743,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_20984]) ).
tcf(c_22744,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_20984]) ).
tcf(c_22745,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_20984]) ).
tcf(c_22746,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_20984]) ).
tcf(c_22747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_20984]) ).
tcf(c_22748,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_20984]) ).
tcf(c_22749,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_20984]) ).
tcf(c_22750,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_20984]) ).
tcf(c_22751,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_20984]) ).
tcf(c_22752,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_20984]) ).
tcf(c_22753,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_20984]) ).
tcf(c_22754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_20984]) ).
tcf(c_22755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_20984]) ).
tcf(c_22756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_20984]) ).
tcf(c_22757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_20984]) ).
tcf(c_22758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_20984]) ).
tcf(c_22759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_20984]) ).
tcf(c_22760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_20984]) ).
tcf(c_22761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_20984]) ).
tcf(c_22762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_20984]) ).
tcf(c_22763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_20984]) ).
tcf(c_22764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_20984]) ).
tcf(c_22765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_20984]) ).
tcf(c_22766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_20984]) ).
tcf(c_22767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_20984]) ).
tcf(c_22768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_20984]) ).
tcf(c_22769,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_20984]) ).
tcf(c_22770,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_20984]) ).
tcf(c_22771,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_20984]) ).
tcf(c_22772,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_20984]) ).
tcf(c_22773,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_20984]) ).
tcf(c_22774,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_20984]) ).
tcf(c_22775,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_20984]) ).
tcf(c_22776,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_20984]) ).
tcf(c_22777,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_20984]) ).
tcf(c_22778,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_20984]) ).
tcf(c_22779,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_20984]) ).
tcf(c_22780,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_20984]) ).
tcf(c_22781,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_20984]) ).
tcf(c_22782,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_20984]) ).
tcf(c_22783,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_20984]) ).
tcf(c_22786,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_20984]) ).
tcf(c_22846,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22780,c_927]) ).
tcf(c_23119,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_21378]) ).
tcf(c_23120,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_21378]) ).
tcf(c_23121,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_21378]) ).
tcf(c_23122,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_21378]) ).
tcf(c_23123,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_21378]) ).
tcf(c_23124,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_21378]) ).
tcf(c_23126,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_21378]) ).
tcf(c_23127,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_21378]) ).
tcf(c_23128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_21378]) ).
tcf(c_23129,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_21378]) ).
tcf(c_23130,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_21378]) ).
tcf(c_23131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_21378]) ).
tcf(c_23133,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_21378]) ).
tcf(c_23134,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_21378]) ).
tcf(c_23135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_21378]) ).
tcf(c_23136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_21378]) ).
tcf(c_23137,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_21378]) ).
tcf(c_23138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_21378]) ).
tcf(c_23139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_21378]) ).
tcf(c_23140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_21378]) ).
tcf(c_23141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_21378]) ).
tcf(c_23142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_21378]) ).
tcf(c_23143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_21378]) ).
tcf(c_23144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_21378]) ).
tcf(c_23145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_21378]) ).
tcf(c_23146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_21378]) ).
tcf(c_23147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_21378]) ).
tcf(c_23148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_21378]) ).
tcf(c_23149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_21378]) ).
tcf(c_23150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_21378]) ).
tcf(c_23151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_21378]) ).
tcf(c_23152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_21378]) ).
tcf(c_23153,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_21378]) ).
tcf(c_23154,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_21378]) ).
tcf(c_23155,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_21378]) ).
tcf(c_23156,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_21378]) ).
tcf(c_23157,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_21378]) ).
tcf(c_23158,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_21378]) ).
tcf(c_23159,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_21378]) ).
tcf(c_23160,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_21378]) ).
tcf(c_23161,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_21378]) ).
tcf(c_23162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_21378]) ).
tcf(c_23163,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_21378]) ).
tcf(c_23164,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_21378]) ).
tcf(c_23165,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_21378]) ).
tcf(c_23166,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_21378]) ).
tcf(c_23167,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_21378]) ).
tcf(c_23170,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_21378]) ).
tcf(c_23226,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23164,c_927]) ).
tcf(c_23453,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_22748]) ).
tcf(c_23454,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_22748]) ).
tcf(c_23455,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_22748]) ).
tcf(c_23456,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_22748]) ).
tcf(c_23457,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_22748]) ).
tcf(c_23458,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_22748]) ).
tcf(c_23459,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_22748]) ).
tcf(c_23460,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_22748]) ).
tcf(c_23461,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_22748]) ).
tcf(c_23462,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_22748]) ).
tcf(c_23463,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_22748]) ).
tcf(c_23464,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_22748]) ).
tcf(c_23465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_22748]) ).
tcf(c_23466,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_22748]) ).
tcf(c_23467,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_22748]) ).
tcf(c_23468,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_22748]) ).
tcf(c_23469,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_22748]) ).
tcf(c_23470,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_22748]) ).
tcf(c_23471,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_22748]) ).
tcf(c_23472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_22748]) ).
tcf(c_23473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_22748]) ).
tcf(c_23474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_22748]) ).
tcf(c_23475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_22748]) ).
tcf(c_23476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_22748]) ).
tcf(c_23477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_22748]) ).
tcf(c_23478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_22748]) ).
tcf(c_23479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_22748]) ).
tcf(c_23480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_22748]) ).
tcf(c_23481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_22748]) ).
tcf(c_23482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_22748]) ).
tcf(c_23483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_22748]) ).
tcf(c_23484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_22748]) ).
tcf(c_23485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_22748]) ).
tcf(c_23486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_22748]) ).
tcf(c_23487,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_22748]) ).
tcf(c_23488,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_22748]) ).
tcf(c_23489,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_22748]) ).
tcf(c_23490,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_22748]) ).
tcf(c_23491,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_22748]) ).
tcf(c_23492,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_22748]) ).
tcf(c_23493,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_22748]) ).
tcf(c_23494,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_22748]) ).
tcf(c_23495,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_22748]) ).
tcf(c_23496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_22748]) ).
tcf(c_23497,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_22748]) ).
tcf(c_23498,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_22748]) ).
tcf(c_23499,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_22748]) ).
tcf(c_23500,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_22748]) ).
tcf(c_23501,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_22748]) ).
tcf(c_23504,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_22748]) ).
tcf(c_23564,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23498,c_927]) ).
tcf(c_23924,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_23133]) ).
tcf(c_23925,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_23133]) ).
tcf(c_23926,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_23133]) ).
tcf(c_23927,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_23133]) ).
tcf(c_23928,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_23133]) ).
tcf(c_23929,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_23133]) ).
tcf(c_23931,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_23133]) ).
tcf(c_23932,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_23133]) ).
tcf(c_23933,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_23133]) ).
tcf(c_23934,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_23133]) ).
tcf(c_23935,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_23133]) ).
tcf(c_23936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_23133]) ).
tcf(c_23938,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_23133]) ).
tcf(c_23939,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_23133]) ).
tcf(c_23940,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_23133]) ).
tcf(c_23941,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_23133]) ).
tcf(c_23942,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_23133]) ).
tcf(c_23943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_23133]) ).
tcf(c_23944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_23133]) ).
tcf(c_23945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_23133]) ).
tcf(c_23946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_23133]) ).
tcf(c_23947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_23133]) ).
tcf(c_23948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_23133]) ).
tcf(c_23949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_23133]) ).
tcf(c_23950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_23133]) ).
tcf(c_23951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_23133]) ).
tcf(c_23952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_23133]) ).
tcf(c_23953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_23133]) ).
tcf(c_23954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_23133]) ).
tcf(c_23955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_23133]) ).
tcf(c_23956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_23133]) ).
tcf(c_23957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_23133]) ).
tcf(c_23958,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_23133]) ).
tcf(c_23959,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_23133]) ).
tcf(c_23960,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_23133]) ).
tcf(c_23961,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_23133]) ).
tcf(c_23962,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_23133]) ).
tcf(c_23963,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_23133]) ).
tcf(c_23964,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_23133]) ).
tcf(c_23965,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_23133]) ).
tcf(c_23966,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_23133]) ).
tcf(c_23967,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_23133]) ).
tcf(c_23968,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_23133]) ).
tcf(c_23969,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_23133]) ).
tcf(c_23970,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_23133]) ).
tcf(c_23971,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_23133]) ).
tcf(c_23972,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_23133]) ).
tcf(c_23975,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_23133]) ).
tcf(c_24031,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23969,c_927]) ).
tcf(c_24335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(X0,X7))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(X0,X7))),X8)),sK5(intersection(X4,image3(X5,X6,intersection(X0,X7))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_3175]) ).
tcf(c_24336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8)) ),
inference(superposition,[status(thm)],[c_1639,c_3175]) ).
tcf(c_24337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8)) ),
inference(superposition,[status(thm)],[c_1720,c_3175]) ).
tcf(c_24338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(X7,X0))),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(X7,X0))),X8)),sK5(intersection(X4,image3(X5,X6,intersection(X7,X0))),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_3175]) ).
tcf(c_24339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8)) ),
inference(superposition,[status(thm)],[c_2010,c_3175]) ).
tcf(c_24340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8)) ),
inference(superposition,[status(thm)],[c_2079,c_3175]) ).
tcf(c_24341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9)) ),
inference(superposition,[status(thm)],[c_2779,c_3175]) ).
tcf(c_24342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9)) ),
inference(superposition,[status(thm)],[c_2985,c_3175]) ).
tcf(c_24343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,image3(X5,X6,image3(X7,X8,X0))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,image3(X7,X8,X0))),X9)),sK5(intersection(X4,image3(X5,X6,image3(X7,X8,X0))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_3175]) ).
tcf(c_24344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9)),sK5(intersection(X2,image3(X3,X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9)) ),
inference(superposition,[status(thm)],[c_3324,c_3175]) ).
tcf(c_24345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X5,X6,intersection(image3(X0,X1,X7),X8)))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X5,X6,intersection(image3(X0,X1,X7),X8)))),X9)),sK5(intersection(X2,image3(X3,X4,image3(X5,X6,intersection(image3(X0,X1,X7),X8)))),X9)) ),
inference(superposition,[status(thm)],[c_3413,c_3175]) ).
tcf(c_24346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X7,X8,image3(X0,X1,X9))))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X7,X8,image3(X0,X1,X9))))),X10)),sK5(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X7,X8,image3(X0,X1,X9))))),X10)) ),
inference(superposition,[status(thm)],[c_4757,c_3175]) ).
tcf(c_24347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,image3(X4,X5,intersection(sK3,X6))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,image3(X4,X5,intersection(sK3,X6))),X7)),sK5(intersection(X3,image3(X4,X5,intersection(sK3,X6))),X7))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_3175]) ).
tcf(c_24348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,image3(X4,X5,intersection(sK4,X6))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,image3(X4,X5,intersection(sK4,X6))),X7)),sK5(intersection(X3,image3(X4,X5,intersection(sK4,X6))),X7))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_3175]) ).
tcf(c_24349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,image3(X4,X5,intersection(X6,sK3))),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,image3(X4,X5,intersection(X6,sK3))),X7)),sK5(intersection(X3,image3(X4,X5,intersection(X6,sK3))),X7))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_3175]) ).
tcf(c_24350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(intersection(X7,X0),X8))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(intersection(X7,X0),X8))),X9)),sK5(intersection(X4,image3(X5,X6,intersection(intersection(X7,X0),X8))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_3175]) ).
tcf(c_24351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(X5,intersection(X6,image3(X0,X1,X7))),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,intersection(X6,image3(X0,X1,X7))),X8))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,intersection(X6,image3(X0,X1,X7))),X8))),X9)) ),
inference(superposition,[status(thm)],[c_15036,c_3175]) ).
tcf(c_24352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(X5,intersection(image3(X0,X1,X6),X7)),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,intersection(image3(X0,X1,X6),X7)),X8))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,intersection(image3(X0,X1,X6),X7)),X8))),X9)) ),
inference(superposition,[status(thm)],[c_15347,c_3175]) ).
tcf(c_24353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(intersection(X0,X7),X8))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(intersection(X0,X7),X8))),X9)),sK5(intersection(X4,image3(X5,X6,intersection(intersection(X0,X7),X8))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_3175]) ).
tcf(c_24354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(intersection(X5,image3(X0,X1,X6)),X7),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(intersection(X5,image3(X0,X1,X6)),X7),X8))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(intersection(X5,image3(X0,X1,X6)),X7),X8))),X9)) ),
inference(superposition,[status(thm)],[c_17907,c_3175]) ).
tcf(c_24355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(intersection(image3(X0,X1,X5),X6),X7),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(intersection(image3(X0,X1,X5),X6),X7),X8))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(intersection(image3(X0,X1,X5),X6),X7),X8))),X9)) ),
inference(superposition,[status(thm)],[c_18284,c_3175]) ).
tcf(c_24356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(X7,intersection(X8,X0)))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(X7,intersection(X8,X0)))),X9)),sK5(intersection(X4,image3(X5,X6,intersection(X7,intersection(X8,X0)))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_3175]) ).
tcf(c_24357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,intersection(X7,image3(X0,X1,X8)))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,intersection(X7,image3(X0,X1,X8)))))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,intersection(X7,image3(X0,X1,X8)))))),X9)) ),
inference(superposition,[status(thm)],[c_20482,c_3175]) ).
tcf(c_24358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,intersection(image3(X0,X1,X7),X8))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,intersection(image3(X0,X1,X7),X8))))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,intersection(image3(X0,X1,X7),X8))))),X9)) ),
inference(superposition,[status(thm)],[c_21891,c_3175]) ).
tcf(c_24359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(X7,intersection(X0,X8)))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(X7,intersection(X0,X8)))),X9)),sK5(intersection(X4,image3(X5,X6,intersection(X7,intersection(X0,X8)))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_3175]) ).
tcf(c_24618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(intersection(X1,X2),X3)),X2),
inference(superposition,[status(thm)],[c_2081,c_54]) ).
tcf(c_24620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_2081,c_12924]) ).
tcf(c_24621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_2081,c_11170]) ).
tcf(c_24622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_2081,c_10956]) ).
tcf(c_24623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_2081,c_7357]) ).
tcf(c_24624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5)
| ~ subset(sK1,X5)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_2081,c_7083]) ).
tcf(c_24628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6)),X1) ),
inference(superposition,[status(thm)],[c_2081,c_67]) ).
tcf(c_24630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_23133]) ).
tcf(c_24631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_22748]) ).
tcf(c_24632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_21378]) ).
tcf(c_24633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_20984]) ).
tcf(c_24634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_17471]) ).
tcf(c_24635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_17052]) ).
tcf(c_24636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_14454]) ).
tcf(c_24637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_6414]) ).
tcf(c_24638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_6070]) ).
tcf(c_24639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_5860]) ).
tcf(c_24640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_5547]) ).
tcf(c_24641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_5271]) ).
tcf(c_24642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_4987]) ).
tcf(c_24643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_4986]) ).
tcf(c_24644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_2081,c_4945]) ).
tcf(c_24645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK3),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(X1,sK3),X2)),X3),sK1) ),
inference(superposition,[status(thm)],[c_2081,c_15799]) ).
tcf(c_24647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK4),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(X1,sK4),X2)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_11950]) ).
tcf(c_24648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK4),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(X1,sK4),X2)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_11643]) ).
tcf(c_24649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(intersection(X2,sK4),X3)),X4)
| member(sK5(intersection(X1,intersection(intersection(X2,sK4),X3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2081,c_7948]) ).
tcf(c_24650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(sK4,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2081,c_18969]) ).
tcf(c_24651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(sK4,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2081,c_18735]) ).
tcf(c_24652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(X2,sK3)),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,sK3)),X3)),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,intersection(X2,sK3)),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2081,c_13080]) ).
tcf(c_24653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,intersection(sK3,X2)),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,intersection(sK3,X2)),X3)),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,intersection(sK3,X2)),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2081,c_13482]) ).
tcf(c_24880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X4,X0),X5))),X6)
| member(sK5(intersection(X2,intersection(X3,intersection(intersection(X4,X0),X5))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24618,c_1913]) ).
tcf(c_24881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X2)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_7220]) ).
tcf(c_24882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X2)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_6977]) ).
tcf(c_24883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X3,X0),X4)),X5),X6)
| member(sK5(intersection(intersection(X2,intersection(intersection(X3,X0),X4)),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24618,c_1578]) ).
tcf(c_24884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_2293]) ).
tcf(c_24885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_2222]) ).
tcf(c_24887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_1345]) ).
tcf(c_24888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_1284]) ).
tcf(c_24889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_994]) ).
tcf(c_24891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(X2,intersection(X3,X4)),X5))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,intersection(X3,X4)),X5))),X6),X3) ),
inference(superposition,[status(thm)],[c_24618,c_1915]) ).
tcf(c_24892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(X2,intersection(X3,X4)),X5))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,intersection(X3,X4)),X5))),X6),X4) ),
inference(superposition,[status(thm)],[c_24618,c_1914]) ).
tcf(c_24893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_24618,c_1580]) ).
tcf(c_24894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(intersection(X1,intersection(X2,X3)),X4)),X5),X6),X3) ),
inference(superposition,[status(thm)],[c_24618,c_1579]) ).
tcf(c_24897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(intersection(X6,image3(X0,X1,X7)),X8)))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(intersection(X6,image3(X0,X1,X7)),X8)))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(intersection(X6,image3(X0,X1,X7)),X8)))),X9)) ),
inference(superposition,[status(thm)],[c_24618,c_3175]) ).
tcf(c_24898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8)),sK5(image3(X2,X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8)) ),
inference(superposition,[status(thm)],[c_24618,c_3117]) ).
tcf(c_24899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7)))),X8)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7)))),X8)) ),
inference(superposition,[status(thm)],[c_24618,c_2952]) ).
tcf(c_24900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7)),X8)),sK5(intersection(X2,intersection(intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7)),X8)) ),
inference(superposition,[status(thm)],[c_24618,c_2949]) ).
tcf(c_24901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7),X8)),sK5(intersection(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7),X8)) ),
inference(superposition,[status(thm)],[c_24618,c_2647]) ).
tcf(c_24902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7),X8)),sK5(intersection(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_24618,c_2644]) ).
tcf(c_24903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(X2,image3(X3,X4,X5)),X6))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(X2,image3(X3,X4,X5)),X6))),X7),X5) ),
inference(superposition,[status(thm)],[c_24618,c_1918]) ).
tcf(c_24904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(intersection(X1,image3(X2,X3,X4)),X5)),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(intersection(X1,image3(X2,X3,X4)),X5)),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_24618,c_1583]) ).
tcf(c_24910,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(intersection(X1,sK3),X2)),sK1),
inference(superposition,[status(thm)],[c_24618,c_12385]) ).
tcf(c_25178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(intersection(X1,X2),X3)),X1),
inference(superposition,[status(thm)],[c_2082,c_54]) ).
tcf(c_25188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6)),X1) ),
inference(superposition,[status(thm)],[c_2082,c_67]) ).
tcf(c_25190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_23133]) ).
tcf(c_25191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_22748]) ).
tcf(c_25192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_21378]) ).
tcf(c_25193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_20984]) ).
tcf(c_25194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_17471]) ).
tcf(c_25195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_17052]) ).
tcf(c_25196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_14454]) ).
tcf(c_25197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_6414]) ).
tcf(c_25198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_6070]) ).
tcf(c_25199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_5860]) ).
tcf(c_25200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_5547]) ).
tcf(c_25201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_5271]) ).
tcf(c_25202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_4987]) ).
tcf(c_25203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_4986]) ).
tcf(c_25204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)) ) ),
inference(superposition,[status(thm)],[c_2082,c_4945]) ).
tcf(c_25205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK3,X1),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(sK3,X1),X2)),X3),sK1) ),
inference(superposition,[status(thm)],[c_2082,c_15799]) ).
tcf(c_25207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK4,X1),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(sK4,X1),X2)),X3),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_11950]) ).
tcf(c_25208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK4,X1),X2)),X3)
| member(sK5(intersection(X0,intersection(intersection(sK4,X1),X2)),X3),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_11643]) ).
tcf(c_25209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,intersection(intersection(sK4,X2),X3)),X4)
| member(sK5(intersection(X1,intersection(intersection(sK4,X2),X3)),X4),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2082,c_7948]) ).
tcf(c_25212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(intersection(X1,sK3),X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(intersection(X1,sK3),X2),X3)),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(intersection(X1,sK3),X2),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2082,c_13080]) ).
tcf(c_25213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(intersection(sK3,X1),X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(intersection(sK3,X1),X2),X3)),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(intersection(sK3,X1),X2),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2082,c_13482]) ).
tcf(c_25378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X0,X4),X5))),X6)
| member(sK5(intersection(X2,intersection(X3,intersection(intersection(X0,X4),X5))),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_25178,c_1913]) ).
tcf(c_25379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),X1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_7220]) ).
tcf(c_25380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),X1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_6977]) ).
tcf(c_25381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X0,X3),X4)),X5),X6)
| member(sK5(intersection(intersection(X2,intersection(intersection(X0,X3),X4)),X5),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_25178,c_1578]) ).
tcf(c_25382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_2293]) ).
tcf(c_25383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_2222]) ).
tcf(c_25385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_1345]) ).
tcf(c_25386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_1284]) ).
tcf(c_25387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),X1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_994]) ).
tcf(c_25389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(intersection(X2,X3),X4),X5))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(intersection(X2,X3),X4),X5))),X6),X2) ),
inference(superposition,[status(thm)],[c_25178,c_1915]) ).
tcf(c_25390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(intersection(X2,X3),X4),X5))),X6)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(intersection(X2,X3),X4),X5))),X6),X3) ),
inference(superposition,[status(thm)],[c_25178,c_1914]) ).
tcf(c_25391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5),X6),X1) ),
inference(superposition,[status(thm)],[c_25178,c_1580]) ).
tcf(c_25392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5),X6)
| member(sK5(intersection(intersection(X0,intersection(intersection(intersection(X1,X2),X3),X4)),X5),X6),X2) ),
inference(superposition,[status(thm)],[c_25178,c_1579]) ).
tcf(c_25395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(intersection(image3(X0,X1,X6),X7),X8)))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(intersection(image3(X0,X1,X6),X7),X8)))),X9)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(intersection(image3(X0,X1,X6),X7),X8)))),X9)) ),
inference(superposition,[status(thm)],[c_25178,c_3175]) ).
tcf(c_25396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8)),sK5(image3(X2,X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8)) ),
inference(superposition,[status(thm)],[c_25178,c_3117]) ).
tcf(c_25397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7)))),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7)))),X8)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7)))),X8)) ),
inference(superposition,[status(thm)],[c_25178,c_2952]) ).
tcf(c_25398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7)),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7)),X8)),sK5(intersection(X2,intersection(intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7)),X8)) ),
inference(superposition,[status(thm)],[c_25178,c_2949]) ).
tcf(c_25399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7),X8)),sK5(intersection(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7),X8)) ),
inference(superposition,[status(thm)],[c_25178,c_2647]) ).
tcf(c_25400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7),X8)),sK5(intersection(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7),X8)) ),
inference(superposition,[status(thm)],[c_25178,c_2644]) ).
tcf(c_25401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(intersection(image3(X2,X3,X4),X5),X6))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(intersection(image3(X2,X3,X4),X5),X6))),X7),X4) ),
inference(superposition,[status(thm)],[c_25178,c_1918]) ).
tcf(c_25402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(intersection(image3(X1,X2,X3),X4),X5)),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(intersection(image3(X1,X2,X3),X4),X5)),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_25178,c_1583]) ).
tcf(c_25408,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(intersection(sK3,X1),X2)),sK1),
inference(superposition,[status(thm)],[c_25178,c_12385]) ).
tcf(c_25570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(X2,intersection(intersection(X3,sK3),X4))),X5)
| member(sK5(intersection(X1,intersection(X2,intersection(intersection(X3,sK3),X4))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_24910,c_1913]) ).
tcf(c_25571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_7220]) ).
tcf(c_25572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_6977]) ).
tcf(c_25573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X1,intersection(intersection(X2,sK3),X3)),X4),X5)
| member(sK5(intersection(intersection(X1,intersection(intersection(X2,sK3),X3)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_24910,c_1578]) ).
tcf(c_25574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_2293]) ).
tcf(c_25575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_2222]) ).
tcf(c_25577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_1345]) ).
tcf(c_25578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_1284]) ).
tcf(c_25579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_994]) ).
tcf(c_25638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(X2,intersection(intersection(sK3,X3),X4))),X5)
| member(sK5(intersection(X1,intersection(X2,intersection(intersection(sK3,X3),X4))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_25408,c_1913]) ).
tcf(c_25639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_7220]) ).
tcf(c_25640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_6977]) ).
tcf(c_25641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X1,intersection(intersection(sK3,X2),X3)),X4),X5)
| member(sK5(intersection(intersection(X1,intersection(intersection(sK3,X2),X3)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_25408,c_1578]) ).
tcf(c_25642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_2293]) ).
tcf(c_25643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_2222]) ).
tcf(c_25645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_1345]) ).
tcf(c_25646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_1284]) ).
tcf(c_25647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_994]) ).
tcf(c_25848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(X2,X3),X4)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_8916,c_13755]) ).
tcf(c_25849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),sK1)
| ~ member(sK5(X0,X3),X4)
| ~ subset(X0,image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_958,c_13755]) ).
tcf(c_25850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ member(sK6(sK0,sK2,X2),X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_1081,c_13755]) ).
tcf(c_25851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ member(sK6(sK0,sK2,X2),X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_1069,c_13755]) ).
tcf(c_25852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ member(sK6(sK0,sK2,X2),X3)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_959,c_13755]) ).
tcf(c_25853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X0,image3(X4,X5,sK3))
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_972,c_13755]) ).
tcf(c_25854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4)
| member(sK5(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_973,c_13755]) ).
tcf(c_25855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4)
| member(sK5(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4),sK1)
| ~ member(sK5(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_974,c_13755]) ).
tcf(c_25856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,image3(X2,X3,sK3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,image3(X2,X3,sK3)),X4),X5),sK1)
| ~ member(sK5(intersection(image3(X0,X1,image3(X2,X3,sK3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_975,c_13755]) ).
tcf(c_25857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,image3(X1,X2,sK3),X3),X4)
| member(sK7(X0,image3(X1,X2,sK3),sK5(image3(X0,image3(X1,X2,sK3),X3),X4)),sK1)
| ~ member(sK7(X0,image3(X1,X2,sK3),sK5(image3(X0,image3(X1,X2,sK3),X3),X4)),X5) ),
inference(superposition,[status(thm)],[c_1109,c_13755]) ).
tcf(c_25859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X1,image3(X4,X5,sK3))
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1166,c_13755]) ).
tcf(c_25860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4),X5) ),
inference(superposition,[status(thm)],[c_1167,c_13755]) ).
tcf(c_25861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4)
| member(sK5(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4),sK1)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_1168,c_13755]) ).
tcf(c_25862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,image3(X3,X4,sK3))),X5)
| member(sK5(intersection(X0,image3(X1,X2,image3(X3,X4,sK3))),X5),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,image3(X3,X4,sK3))),X5),X6) ),
inference(superposition,[status(thm)],[c_1171,c_13755]) ).
tcf(c_25863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(X2,image3(X5,X6,sK3))
| ~ member(sK5(image3(X0,X1,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1238,c_13755]) ).
tcf(c_25864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,sK3))),X5)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,sK3))),X5),sK1)
| ~ member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,sK3))),X5),X6) ),
inference(superposition,[status(thm)],[c_1239,c_13755]) ).
tcf(c_25865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,sK3),X4)),X5)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,sK3),X4)),X5),sK1)
| ~ member(sK5(image3(X0,X1,intersection(image3(X2,X3,sK3),X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_1240,c_13755]) ).
tcf(c_25866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6)
| member(sK5(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6),sK1)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK3))),X6),X7) ),
inference(superposition,[status(thm)],[c_1243,c_13755]) ).
tcf(c_25867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X1,image3(X5,X6,sK3))
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1640,c_13755]) ).
tcf(c_25868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4),X5)
| member(sK5(intersection(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1641,c_13755]) ).
tcf(c_25869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4),X5)
| member(sK5(intersection(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1642,c_13755]) ).
tcf(c_25870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X0,image3(X5,X6,sK3))
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1721,c_13755]) ).
tcf(c_25871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1722,c_13755]) ).
tcf(c_25872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4),X5)
| member(sK5(intersection(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1723,c_13755]) ).
tcf(c_25873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X2,image3(X5,X6,sK3))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2011,c_13755]) ).
tcf(c_25874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,sK3)))),X5)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,sK3)))),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,sK3)))),X5),X6) ),
inference(superposition,[status(thm)],[c_2012,c_13755]) ).
tcf(c_25875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,intersection(image3(X2,X3,sK3),X4))),X5)
| member(sK5(intersection(X0,intersection(X1,intersection(image3(X2,X3,sK3),X4))),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(image3(X2,X3,sK3),X4))),X5),X6) ),
inference(superposition,[status(thm)],[c_2013,c_13755]) ).
tcf(c_25876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X1,image3(X5,X6,sK3))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2080,c_13755]) ).
tcf(c_25877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(X1,image3(X2,X3,sK3)),X4)),X5)
| member(sK5(intersection(X0,intersection(intersection(X1,image3(X2,X3,sK3)),X4)),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,image3(X2,X3,sK3)),X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_2081,c_13755]) ).
tcf(c_25878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(intersection(image3(X1,X2,sK3),X3),X4)),X5)
| member(sK5(intersection(X0,intersection(intersection(image3(X1,X2,sK3),X3),X4)),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(intersection(image3(X1,X2,sK3),X3),X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_2082,c_13755]) ).
tcf(c_25879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),sK1)
| ~ member(sK5(sK3,X2),X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2184,c_13755]) ).
tcf(c_25880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),sK1)
| ~ member(sK5(sK4,X2),X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2185,c_13755]) ).
tcf(c_25881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,sK3),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ member(X2,image3(X0,X1,sK3))
| ~ member(sK7(sK0,image3(X0,X1,sK3),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3592,c_13755]) ).
tcf(c_25882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,image3(X3,X4,sK3))
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3612,c_13755]) ).
tcf(c_25883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,intersection(X0,image3(X1,X2,sK3)),sK6(sK0,sK2,X3)),sK1)
| ~ member(X3,sK1)
| ~ member(X3,intersection(X0,image3(X1,X2,sK3)))
| ~ member(sK7(sK0,intersection(X0,image3(X1,X2,sK3)),sK6(sK0,sK2,X3)),X4) ),
inference(superposition,[status(thm)],[c_3613,c_13755]) ).
tcf(c_25884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,intersection(image3(X0,X1,sK3),X2),sK6(sK0,sK2,X3)),sK1)
| ~ member(X3,sK1)
| ~ member(X3,intersection(image3(X0,X1,sK3),X2))
| ~ member(sK7(sK0,intersection(image3(X0,X1,sK3),X2),sK6(sK0,sK2,X3)),X4) ),
inference(superposition,[status(thm)],[c_3614,c_13755]) ).
tcf(c_25885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X0,image3(X1,X2,sK3),sK7(sK0,image3(X0,image3(X1,X2,sK3),X3),sK6(sK0,sK2,X4))),sK1)
| ~ member(X4,sK1)
| ~ member(X4,image3(X0,image3(X1,X2,sK3),X3))
| ~ member(sK7(X0,image3(X1,X2,sK3),sK7(sK0,image3(X0,image3(X1,X2,sK3),X3),sK6(sK0,sK2,X4))),X5) ),
inference(superposition,[status(thm)],[c_3616,c_13755]) ).
tcf(c_25886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,sK3)),sK6(sK0,sK2,X4)),sK1)
| ~ member(X4,sK1)
| ~ member(X4,image3(X0,X1,image3(X2,X3,sK3)))
| ~ member(sK7(sK0,image3(X0,X1,image3(X2,X3,sK3)),sK6(sK0,sK2,X4)),X5) ),
inference(superposition,[status(thm)],[c_3617,c_13755]) ).
tcf(c_25888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,image3(X3,X4,sK3))
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_6875,c_13755]) ).
tcf(c_26486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,image3(X4,X5,sK3))
| ~ member(sK5(intersection(sK4,X0),X1),X3)
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_57,c_25888]) ).
tcf(c_26489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X2),X4)
| member(sK5(intersection(sK4,X2),X4),sK1)
| ~ subset(sK1,X3)
| ~ subset(intersection(sK4,X2),sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_8916,c_25888]) ).
tcf(c_26490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X2),X4)
| member(sK5(intersection(sK4,X2),X4),sK1)
| ~ subset(intersection(sK4,X2),X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_958,c_25888]) ).
tcf(c_26491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK4,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_972,c_25888]) ).
tcf(c_26492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X2),X4)
| member(sK5(intersection(sK4,X2),X4),sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_1166,c_25888]) ).
tcf(c_26493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X2,X3)),X4)
| member(sK5(intersection(sK4,intersection(X2,X3)),X4),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_1167,c_25888]) ).
tcf(c_26495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,image3(X2,X3,X4)),X5)
| member(sK5(intersection(sK4,image3(X2,X3,X4)),X5),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_1171,c_25888]) ).
tcf(c_26496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(X4,X2)),X5)
| member(sK5(intersection(sK4,intersection(X4,X2)),X5),sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2011,c_25888]) ).
tcf(c_26497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(X2,intersection(X3,X4))),X5)
| member(sK5(intersection(sK4,intersection(X2,intersection(X3,X4))),X5),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2012,c_25888]) ).
tcf(c_26499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(X2,X4)),X5)
| member(sK5(intersection(sK4,intersection(X2,X4)),X5),sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2080,c_25888]) ).
tcf(c_26500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(intersection(X2,X3),X4)),X5)
| member(sK5(intersection(sK4,intersection(intersection(X2,X3),X4)),X5),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2081,c_25888]) ).
tcf(c_26502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_6875,c_25888]) ).
tcf(c_26507,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,sK3),X2)
| member(sK5(intersection(sK4,sK3),X2),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_16431,c_25888]) ).
tcf(c_26626,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_23466]) ).
tcf(c_26627,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_23466]) ).
tcf(c_26628,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_23466]) ).
tcf(c_26629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_23466]) ).
tcf(c_26630,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_23466]) ).
tcf(c_26631,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_23466]) ).
tcf(c_26632,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_23466]) ).
tcf(c_26633,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_23466]) ).
tcf(c_26634,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_23466]) ).
tcf(c_26635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_23466]) ).
tcf(c_26636,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_23466]) ).
tcf(c_26637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_23466]) ).
tcf(c_26638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_23466]) ).
tcf(c_26639,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_23466]) ).
tcf(c_26640,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_23466]) ).
tcf(c_26641,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_23466]) ).
tcf(c_26642,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_23466]) ).
tcf(c_26643,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_23466]) ).
tcf(c_26644,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_23466]) ).
tcf(c_26645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_23466]) ).
tcf(c_26646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_23466]) ).
tcf(c_26647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_23466]) ).
tcf(c_26648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_23466]) ).
tcf(c_26649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_23466]) ).
tcf(c_26650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_23466]) ).
tcf(c_26651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_23466]) ).
tcf(c_26652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_23466]) ).
tcf(c_26653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_23466]) ).
tcf(c_26654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_23466]) ).
tcf(c_26655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_23466]) ).
tcf(c_26656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_23466]) ).
tcf(c_26657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_23466]) ).
tcf(c_26658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_23466]) ).
tcf(c_26659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_23466]) ).
tcf(c_26660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_23466]) ).
tcf(c_26661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_23466]) ).
tcf(c_26662,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_23466]) ).
tcf(c_26663,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_23466]) ).
tcf(c_26664,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_23466]) ).
tcf(c_26665,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_23466]) ).
tcf(c_26666,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_23466]) ).
tcf(c_26667,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_23466]) ).
tcf(c_26668,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_23466]) ).
tcf(c_26669,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_23466]) ).
tcf(c_26670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_23466]) ).
tcf(c_26671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_23466]) ).
tcf(c_26672,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_23466]) ).
tcf(c_26673,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_23466]) ).
tcf(c_26674,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_23466]) ).
tcf(c_26675,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_23466]) ).
tcf(c_26676,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_23466]) ).
tcf(c_26679,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_23466]) ).
tcf(c_26739,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26673,c_927]) ).
tcf(c_27033,plain,
( member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2)))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,sK4,sK2))
| ~ member(sK5(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))),image3(sK0,sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_10041]) ).
tcf(c_27148,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_23938]) ).
tcf(c_27149,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_23938]) ).
tcf(c_27150,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_23938]) ).
tcf(c_27151,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_23938]) ).
tcf(c_27152,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_23938]) ).
tcf(c_27153,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_23938]) ).
tcf(c_27155,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_23938]) ).
tcf(c_27156,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_23938]) ).
tcf(c_27157,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_23938]) ).
tcf(c_27158,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_23938]) ).
tcf(c_27159,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_23938]) ).
tcf(c_27160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_23938]) ).
tcf(c_27162,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_23938]) ).
tcf(c_27163,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_23938]) ).
tcf(c_27164,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_23938]) ).
tcf(c_27165,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_23938]) ).
tcf(c_27166,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_23938]) ).
tcf(c_27167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_23938]) ).
tcf(c_27168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_23938]) ).
tcf(c_27169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_23938]) ).
tcf(c_27170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_23938]) ).
tcf(c_27171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_23938]) ).
tcf(c_27172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_23938]) ).
tcf(c_27173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_23938]) ).
tcf(c_27174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_23938]) ).
tcf(c_27175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_23938]) ).
tcf(c_27176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_23938]) ).
tcf(c_27177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_23938]) ).
tcf(c_27178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_23938]) ).
tcf(c_27179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_23938]) ).
tcf(c_27180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_23938]) ).
tcf(c_27181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_23938]) ).
tcf(c_27182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_23938]) ).
tcf(c_27183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_23938]) ).
tcf(c_27184,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_23938]) ).
tcf(c_27185,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_23938]) ).
tcf(c_27186,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_23938]) ).
tcf(c_27187,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_23938]) ).
tcf(c_27188,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_23938]) ).
tcf(c_27189,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_23938]) ).
tcf(c_27190,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_23938]) ).
tcf(c_27191,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_23938]) ).
tcf(c_27192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_23938]) ).
tcf(c_27193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_23938]) ).
tcf(c_27194,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_23938]) ).
tcf(c_27195,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_23938]) ).
tcf(c_27196,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_23938]) ).
tcf(c_27197,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_23938]) ).
tcf(c_27198,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_23938]) ).
tcf(c_27201,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_23938]) ).
tcf(c_27257,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27195,c_927]) ).
tcf(c_27582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X4,X5,intersection(X0,X6)),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(X0,X6)),X7),X8)),sK5(intersection(image3(X4,X5,intersection(X0,X6)),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_3176]) ).
tcf(c_27583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7),X8)),sK5(intersection(image3(X2,X3,intersection(intersection(X4,image3(X0,X1,X5)),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_1639,c_3176]) ).
tcf(c_27584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7),X8)),sK5(intersection(image3(X2,X3,intersection(intersection(image3(X0,X1,X4),X5),X6)),X7),X8)) ),
inference(superposition,[status(thm)],[c_1720,c_3176]) ).
tcf(c_27585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X4,X5,intersection(X6,X0)),X7),X8)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(X6,X0)),X7),X8)),sK5(intersection(image3(X4,X5,intersection(X6,X0)),X7),X8))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_3176]) ).
tcf(c_27586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)) ),
inference(superposition,[status(thm)],[c_2010,c_3176]) ).
tcf(c_27587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7),X8)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7),X8)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(image3(X0,X1,X5),X6))),X7),X8)) ),
inference(superposition,[status(thm)],[c_2079,c_3176]) ).
tcf(c_27588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8),X9)),sK5(intersection(image3(X2,X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_2779,c_3176]) ).
tcf(c_27589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8),X9)),sK5(intersection(image3(X2,X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8),X9)) ),
inference(superposition,[status(thm)],[c_2985,c_3176]) ).
tcf(c_27590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X4,X5,image3(X6,X7,X0)),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,image3(X6,X7,X0)),X8),X9)),sK5(intersection(image3(X4,X5,image3(X6,X7,X0)),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_3176]) ).
tcf(c_27591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8),X9)),sK5(intersection(image3(X2,X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8),X9)) ),
inference(superposition,[status(thm)],[c_3324,c_3176]) ).
tcf(c_27592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7))),X8),X9)),sK5(intersection(image3(X2,X3,image3(X4,X5,intersection(image3(X0,X1,X6),X7))),X8),X9)) ),
inference(superposition,[status(thm)],[c_3413,c_3176]) ).
tcf(c_27593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8)))),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8)))),X9),X10)),sK5(intersection(image3(X2,X3,image3(X4,X5,image3(X6,X7,image3(X0,X1,X8)))),X9),X10)) ),
inference(superposition,[status(thm)],[c_4757,c_3176]) ).
tcf(c_27594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X3,X4,intersection(sK3,X5)),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X3,X4,intersection(sK3,X5)),X6),X7)),sK5(intersection(image3(X3,X4,intersection(sK3,X5)),X6),X7))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_3176]) ).
tcf(c_27595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X3,X4,intersection(sK4,X5)),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X3,X4,intersection(sK4,X5)),X6),X7)),sK5(intersection(image3(X3,X4,intersection(sK4,X5)),X6),X7))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_3176]) ).
tcf(c_27596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X3,X4,intersection(X5,sK3)),X6),X7)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X3,X4,intersection(X5,sK3)),X6),X7)),sK5(intersection(image3(X3,X4,intersection(X5,sK3)),X6),X7))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_3176]) ).
tcf(c_27597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8),X9)),sK5(intersection(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_3176]) ).
tcf(c_27598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7)),X8),X9)),sK5(intersection(image3(X2,X3,intersection(intersection(X4,intersection(X5,image3(X0,X1,X6))),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_15036,c_3176]) ).
tcf(c_27599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7)),X8),X9)),sK5(intersection(image3(X2,X3,intersection(intersection(X4,intersection(image3(X0,X1,X5),X6)),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_15347,c_3176]) ).
tcf(c_27600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8),X9)),sK5(intersection(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_3176]) ).
tcf(c_27601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7)),X8),X9)),sK5(intersection(image3(X2,X3,intersection(intersection(intersection(X4,image3(X0,X1,X5)),X6),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_17907,c_3176]) ).
tcf(c_27602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7)),X8),X9)),sK5(intersection(image3(X2,X3,intersection(intersection(intersection(image3(X0,X1,X4),X5),X6),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_18284,c_3176]) ).
tcf(c_27603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8),X9)),sK5(intersection(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_3176]) ).
tcf(c_27604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8),X9)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,intersection(X6,image3(X0,X1,X7))))),X8),X9)) ),
inference(superposition,[status(thm)],[c_20482,c_3176]) ).
tcf(c_27605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8),X9)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,intersection(image3(X0,X1,X6),X7)))),X8),X9)) ),
inference(superposition,[status(thm)],[c_21891,c_3176]) ).
tcf(c_27606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8),X9)),sK5(intersection(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_3176]) ).
tcf(c_27607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8),X9)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(intersection(X5,image3(X0,X1,X6)),X7))),X8),X9)) ),
inference(superposition,[status(thm)],[c_24618,c_3176]) ).
tcf(c_27608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8),X9)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(intersection(image3(X0,X1,X5),X6),X7))),X8),X9)) ),
inference(superposition,[status(thm)],[c_25178,c_3176]) ).
tcf(c_27829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(X0,X5)),X6)
| member(sK5(image3(X3,X4,intersection(X0,X5)),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1577,c_3115]) ).
tcf(c_27830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(X3,X4)),X5)),X6)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(X3,X4)),X5)),X6),X4) ),
inference(superposition,[status(thm)],[c_1639,c_3115]) ).
tcf(c_27831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(X2,X3),X4),X5)),X6)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(X2,X3),X4),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_1720,c_3115]) ).
tcf(c_27832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(X5,X0)),X6)
| member(sK5(image3(X3,X4,intersection(X5,X0)),X6),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1912,c_3115]) ).
tcf(c_27833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,X5)))),X6)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,X5)))),X6),X5) ),
inference(superposition,[status(thm)],[c_2010,c_3115]) ).
tcf(c_27834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(X3,X4),X5))),X6)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(X3,X4),X5))),X6),X4) ),
inference(superposition,[status(thm)],[c_2079,c_3115]) ).
tcf(c_27835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,X5)),X6)),X7)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,X5)),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_2779,c_3115]) ).
tcf(c_27836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,X6)))),X7)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,X6)))),X7),X6) ),
inference(superposition,[status(thm)],[c_2985,c_3115]) ).
tcf(c_27837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,image3(X5,X6,X0)),X7)
| member(sK5(image3(X3,X4,image3(X5,X6,X0)),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_3115]) ).
tcf(c_27838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(X4,intersection(X5,X6)))),X7)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,intersection(X5,X6)))),X7),X6) ),
inference(superposition,[status(thm)],[c_3324,c_3115]) ).
tcf(c_27839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(intersection(X4,X5),X6))),X7)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(intersection(X4,X5),X6))),X7),X5) ),
inference(superposition,[status(thm)],[c_3413,c_3115]) ).
tcf(c_27840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,intersection(X6,X7)))),X8)
| member(sK5(image3(X0,X1,image3(X2,X3,image3(X4,X5,intersection(X6,X7)))),X8),X7) ),
inference(superposition,[status(thm)],[c_4757,c_3115]) ).
tcf(c_27841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK3,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK3,X4)),X5),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6976,c_3115]) ).
tcf(c_27842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK4,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK4,X4)),X5),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_7219,c_3115]) ).
tcf(c_27843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(X4,sK3)),X5)
| member(sK5(image3(X2,X3,intersection(X4,sK3)),X5),X1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_10325,c_3115]) ).
tcf(c_27844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(intersection(X5,X0),X6)),X7)
| member(sK5(image3(X3,X4,intersection(intersection(X5,X0),X6)),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_3115]) ).
tcf(c_27845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(X3,intersection(X4,X5))),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(X3,intersection(X4,X5))),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_15036,c_3115]) ).
tcf(c_27846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(intersection(X3,X4),X5)),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(intersection(X3,X4),X5)),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_15347,c_3115]) ).
tcf(c_27847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(intersection(X0,X5),X6)),X7)
| member(sK5(image3(X3,X4,intersection(intersection(X0,X5),X6)),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_3115]) ).
tcf(c_27848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(X2,intersection(X3,X4)),X5),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(X2,intersection(X3,X4)),X5),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_17907,c_3115]) ).
tcf(c_27849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(intersection(X2,X3),X4),X5),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(intersection(X2,X3),X4),X5),X6)),X7),X3) ),
inference(superposition,[status(thm)],[c_18284,c_3115]) ).
tcf(c_27850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(X5,intersection(X6,X0))),X7)
| member(sK5(image3(X3,X4,intersection(X5,intersection(X6,X0))),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_3115]) ).
tcf(c_27851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,intersection(X5,X6))))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,intersection(X5,X6))))),X7),X6) ),
inference(superposition,[status(thm)],[c_20482,c_3115]) ).
tcf(c_27852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(intersection(X4,X5),X6)))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(intersection(X4,X5),X6)))),X7),X5) ),
inference(superposition,[status(thm)],[c_21891,c_3115]) ).
tcf(c_27853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(X5,intersection(X0,X6))),X7)
| member(sK5(image3(X3,X4,intersection(X5,intersection(X0,X6))),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_3115]) ).
tcf(c_27854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(X3,intersection(X4,X5)),X6))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(X3,intersection(X4,X5)),X6))),X7),X5) ),
inference(superposition,[status(thm)],[c_24618,c_3115]) ).
tcf(c_27855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(intersection(X3,X4),X5),X6))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(intersection(X3,X4),X5),X6))),X7),X4) ),
inference(superposition,[status(thm)],[c_25178,c_3115]) ).
tcf(c_28108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(X0,X5)),X6)
| member(sK5(image3(X3,X4,intersection(X0,X5)),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1577,c_3116]) ).
tcf(c_28109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(X3,X4)),X5)),X6)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(X3,X4)),X5)),X6),X3) ),
inference(superposition,[status(thm)],[c_1639,c_3116]) ).
tcf(c_28110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(X2,X3),X4),X5)),X6)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(X2,X3),X4),X5)),X6),X2) ),
inference(superposition,[status(thm)],[c_1720,c_3116]) ).
tcf(c_28111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(X5,X0)),X6)
| member(sK5(image3(X3,X4,intersection(X5,X0)),X6),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_1912,c_3116]) ).
tcf(c_28112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,X5)))),X6)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,X5)))),X6),X4) ),
inference(superposition,[status(thm)],[c_2010,c_3116]) ).
tcf(c_28113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(X3,X4),X5))),X6)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(X3,X4),X5))),X6),X3) ),
inference(superposition,[status(thm)],[c_2079,c_3116]) ).
tcf(c_28114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,X5)),X6)),X7)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,X5)),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_2779,c_3116]) ).
tcf(c_28115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,X6)))),X7)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,X6)))),X7),X5) ),
inference(superposition,[status(thm)],[c_2985,c_3116]) ).
tcf(c_28116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,image3(X5,X6,X0)),X7)
| member(sK5(image3(X3,X4,image3(X5,X6,X0)),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_3116]) ).
tcf(c_28117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(X4,intersection(X5,X6)))),X7)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,intersection(X5,X6)))),X7),X5) ),
inference(superposition,[status(thm)],[c_3324,c_3116]) ).
tcf(c_28118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(intersection(X4,X5),X6))),X7)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(intersection(X4,X5),X6))),X7),X4) ),
inference(superposition,[status(thm)],[c_3413,c_3116]) ).
tcf(c_28119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,intersection(X6,X7)))),X8)
| member(sK5(image3(X0,X1,image3(X2,X3,image3(X4,X5,intersection(X6,X7)))),X8),X6) ),
inference(superposition,[status(thm)],[c_4757,c_3116]) ).
tcf(c_28120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK3,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK3,X4)),X5),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_6976,c_3116]) ).
tcf(c_28121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK4,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK4,X4)),X5),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_7219,c_3116]) ).
tcf(c_28122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(X4,sK3)),X5)
| member(sK5(image3(X2,X3,intersection(X4,sK3)),X5),X0)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_10325,c_3116]) ).
tcf(c_28123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(intersection(X5,X0),X6)),X7)
| member(sK5(image3(X3,X4,intersection(intersection(X5,X0),X6)),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_13923,c_3116]) ).
tcf(c_28124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(X3,intersection(X4,X5))),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(X3,intersection(X4,X5))),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_15036,c_3116]) ).
tcf(c_28125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(intersection(X3,X4),X5)),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(intersection(X3,X4),X5)),X6)),X7),X3) ),
inference(superposition,[status(thm)],[c_15347,c_3116]) ).
tcf(c_28126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(intersection(X0,X5),X6)),X7)
| member(sK5(image3(X3,X4,intersection(intersection(X0,X5),X6)),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_16542,c_3116]) ).
tcf(c_28127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(X2,intersection(X3,X4)),X5),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(X2,intersection(X3,X4)),X5),X6)),X7),X3) ),
inference(superposition,[status(thm)],[c_17907,c_3116]) ).
tcf(c_28128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(intersection(X2,X3),X4),X5),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(intersection(X2,X3),X4),X5),X6)),X7),X2) ),
inference(superposition,[status(thm)],[c_18284,c_3116]) ).
tcf(c_28129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(X5,intersection(X6,X0))),X7)
| member(sK5(image3(X3,X4,intersection(X5,intersection(X6,X0))),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_3116]) ).
tcf(c_28130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,intersection(X5,X6))))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,intersection(X5,X6))))),X7),X5) ),
inference(superposition,[status(thm)],[c_20482,c_3116]) ).
tcf(c_28131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(intersection(X4,X5),X6)))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(intersection(X4,X5),X6)))),X7),X4) ),
inference(superposition,[status(thm)],[c_21891,c_3116]) ).
tcf(c_28132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,intersection(X5,intersection(X0,X6))),X7)
| member(sK5(image3(X3,X4,intersection(X5,intersection(X0,X6))),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_3116]) ).
tcf(c_28133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(X3,intersection(X4,X5)),X6))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(X3,intersection(X4,X5)),X6))),X7),X4) ),
inference(superposition,[status(thm)],[c_24618,c_3116]) ).
tcf(c_28134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(intersection(X3,X4),X5),X6))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(intersection(X3,X4),X5),X6))),X7),X3) ),
inference(superposition,[status(thm)],[c_25178,c_3116]) ).
tcf(c_28213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X2)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_10326]) ).
tcf(c_28214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_10326]) ).
tcf(c_28215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X0)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_10326]) ).
tcf(c_28216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X2)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_10326]) ).
tcf(c_28217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_10326]) ).
tcf(c_28218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X1)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_10326]) ).
tcf(c_28219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X2)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_10326]) ).
tcf(c_28220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_10326]) ).
tcf(c_28221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_10326]) ).
tcf(c_28222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_10326]) ).
tcf(c_28223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X2)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_10326]) ).
tcf(c_28224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X4)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_10326]) ).
tcf(c_28225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_10326]) ).
tcf(c_28226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_10326]) ).
tcf(c_28227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_10326]) ).
tcf(c_28228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_10326]) ).
tcf(c_28229,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_10326]) ).
tcf(c_28230,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_10326]) ).
tcf(c_28231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_10326]) ).
tcf(c_28232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_10326]) ).
tcf(c_28233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_10326]) ).
tcf(c_28234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_10326]) ).
tcf(c_28235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_10326]) ).
tcf(c_28236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_10326]) ).
tcf(c_28237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_10326]) ).
tcf(c_28238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),sK1)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_10326]) ).
tcf(c_28239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_10326]) ).
tcf(c_28240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_10326]) ).
tcf(c_28241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_10326]) ).
tcf(c_28242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_10326]) ).
tcf(c_28243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_10326]) ).
tcf(c_28244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_10326]) ).
tcf(c_28245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_10326]) ).
tcf(c_28246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_10326]) ).
tcf(c_28247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X2)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_10326]) ).
tcf(c_28248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_10326]) ).
tcf(c_28249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X1)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_10326]) ).
tcf(c_28250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_10326]) ).
tcf(c_28251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_10326]) ).
tcf(c_28252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_10326]) ).
tcf(c_28253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X1)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_10326]) ).
tcf(c_28254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_10326]) ).
tcf(c_28255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X0)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_10326]) ).
tcf(c_28256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_10326]) ).
tcf(c_28257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_10326]) ).
tcf(c_28258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_10326]) ).
tcf(c_28259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_10326]) ).
tcf(c_28260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_10326]) ).
tcf(c_28261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X2)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_10326]) ).
tcf(c_28262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_10326]) ).
tcf(c_28263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_10326]) ).
tcf(c_28264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_10326]) ).
tcf(c_28265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X2)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_10326]) ).
tcf(c_28266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_10326]) ).
tcf(c_28267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),X1)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_10326]) ).
tcf(c_28268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_10326]) ).
tcf(c_28854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X2)
| ~ subset(X3,sK3)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1577,c_12201]) ).
tcf(c_28855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1639,c_12201]) ).
tcf(c_28856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X0)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1720,c_12201]) ).
tcf(c_28857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X2)
| ~ subset(X3,sK3)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_1912,c_12201]) ).
tcf(c_28858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X2)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2010,c_12201]) ).
tcf(c_28859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),X1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_2079,c_12201]) ).
tcf(c_28860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X2)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_2779,c_12201]) ).
tcf(c_28861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_2985,c_12201]) ).
tcf(c_28862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3113,c_12201]) ).
tcf(c_28863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3324,c_12201]) ).
tcf(c_28864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X2)
| ~ subset(X4,sK3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,X3))) ),
inference(superposition,[status(thm)],[c_3413,c_12201]) ).
tcf(c_28865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_4757,c_12201]) ).
tcf(c_28866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),X2)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_6976,c_12201]) ).
tcf(c_28867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),X2)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_7219,c_12201]) ).
tcf(c_28868,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_12509,c_12201]) ).
tcf(c_28869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),X2)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_10325,c_12201]) ).
tcf(c_28870,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10852,c_12201]) ).
tcf(c_28871,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_10796,c_12201]) ).
tcf(c_28872,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),sK1)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_12510,c_12201]) ).
tcf(c_28873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_12511,c_12201]) ).
tcf(c_28874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12512,c_12201]) ).
tcf(c_28875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(intersection(X0,sK3),X1)) ),
inference(superposition,[status(thm)],[c_12513,c_12201]) ).
tcf(c_28876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(intersection(sK3,X0),X1)) ),
inference(superposition,[status(thm)],[c_12514,c_12201]) ).
tcf(c_28877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_12515,c_12201]) ).
tcf(c_28878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,sK3))) ),
inference(superposition,[status(thm)],[c_12516,c_12201]) ).
tcf(c_28879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),sK1)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(sK3,X1))) ),
inference(superposition,[status(thm)],[c_12517,c_12201]) ).
tcf(c_28880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_12518,c_12201]) ).
tcf(c_28881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,sK3))) ),
inference(superposition,[status(thm)],[c_12519,c_12201]) ).
tcf(c_28882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_12520,c_12201]) ).
tcf(c_28883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,image3(X0,X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_12521,c_12201]) ).
tcf(c_28884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,image3(X0,X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_12522,c_12201]) ).
tcf(c_28885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,image3(X0,X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_12523,c_12201]) ).
tcf(c_28886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_13923,c_12201]) ).
tcf(c_28887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_14895,c_12201]) ).
tcf(c_28888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X2)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15036,c_12201]) ).
tcf(c_28889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,sK3)),X2)) ),
inference(superposition,[status(thm)],[c_15224,c_12201]) ).
tcf(c_28890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(intersection(X0,intersection(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_15347,c_12201]) ).
tcf(c_28891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(X0,intersection(sK3,X1)),X2)) ),
inference(superposition,[status(thm)],[c_15586,c_12201]) ).
tcf(c_28892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X0,X3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16542,c_12201]) ).
tcf(c_28893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_16720,c_12201]) ).
tcf(c_28894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_17907,c_12201]) ).
tcf(c_28895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(intersection(X0,sK3),X1),X2)) ),
inference(superposition,[status(thm)],[c_18128,c_12201]) ).
tcf(c_28896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X0)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(intersection(intersection(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_18284,c_12201]) ).
tcf(c_28897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(intersection(sK3,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_18403,c_12201]) ).
tcf(c_28898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X2,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20017,c_12201]) ).
tcf(c_28899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_20309,c_12201]) ).
tcf(c_28900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_20482,c_12201]) ).
tcf(c_28901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,sK3)))) ),
inference(superposition,[status(thm)],[c_20692,c_12201]) ).
tcf(c_28902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X2)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(X2,X3)))) ),
inference(superposition,[status(thm)],[c_21891,c_12201]) ).
tcf(c_28903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,intersection(sK3,X2)))) ),
inference(superposition,[status(thm)],[c_22096,c_12201]) ).
tcf(c_28904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X3)
| ~ subset(X4,sK3)
| ~ subset(X1,X3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22222,c_12201]) ).
tcf(c_28905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,X2))) ),
inference(superposition,[status(thm)],[c_22439,c_12201]) ).
tcf(c_28906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X2)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_24618,c_12201]) ).
tcf(c_28907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,sK3),X2))) ),
inference(superposition,[status(thm)],[c_24910,c_12201]) ).
tcf(c_28908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),X1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,intersection(intersection(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_25178,c_12201]) ).
tcf(c_28909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),sK1)
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(X0,intersection(intersection(sK3,X1),X2))) ),
inference(superposition,[status(thm)],[c_25408,c_12201]) ).
tcf(c_29802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),X3)
| ~ subset(sK1,X3)
| ~ member(sK5(image3(X0,X1,sK3),X2),sK4) ),
inference(superposition,[status(thm)],[c_16432,c_7357]) ).
tcf(c_29803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),X3)
| ~ subset(sK1,X3)
| ~ member(sK5(image3(X0,X1,sK3),X2),sK3) ),
inference(superposition,[status(thm)],[c_16432,c_7083]) ).
tcf(c_29804,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_23938]) ).
tcf(c_29805,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_23466]) ).
tcf(c_29806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_23133]) ).
tcf(c_29807,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_22748]) ).
tcf(c_29808,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_21378]) ).
tcf(c_29809,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_20984]) ).
tcf(c_29810,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_17471]) ).
tcf(c_29811,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_17052]) ).
tcf(c_29812,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_14454]) ).
tcf(c_29813,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_6414]) ).
tcf(c_29814,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_6070]) ).
tcf(c_29815,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_5860]) ).
tcf(c_29816,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_5547]) ).
tcf(c_29817,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_5271]) ).
tcf(c_29818,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_4987]) ).
tcf(c_29819,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_4986]) ).
tcf(c_29820,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))) = sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)) ) ),
inference(superposition,[status(thm)],[c_16432,c_4945]) ).
tcf(c_29991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,sK1)
| ~ member(X2,X3)
| ~ member(X2,X1)
| ~ member(X2,X0)
| ~ subset(intersection(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_57,c_13224]) ).
tcf(c_29994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X1,sK3)
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_941,c_13224]) ).
tcf(c_29995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(image3(X0,X1,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_948,c_13224]) ).
tcf(c_29996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8916,c_13224]) ).
tcf(c_29997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),sK1)
| ~ subset(X3,sK3)
| ~ subset(X0,X3)
| ~ member(sK5(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_958,c_13224]) ).
tcf(c_30000,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(X2,sK3)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_959,c_13224]) ).
tcf(c_30001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X4,sK3)
| ~ subset(X0,X4)
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_972,c_13224]) ).
tcf(c_30002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X1,sK3)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_973,c_13224]) ).
tcf(c_30004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_975,c_13224]) ).
tcf(c_30007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X1,sK3)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_1109,c_13224]) ).
tcf(c_30008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X2),sK1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK6(sK0,sK2,X2),X3)
| ~ member(sK6(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_1151,c_13224]) ).
tcf(c_30009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),sK1)
| ~ subset(X4,sK3)
| ~ subset(X1,X4)
| ~ member(sK5(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1166,c_13224]) ).
tcf(c_30010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_1167,c_13224]) ).
tcf(c_30011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X1,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_1168,c_13224]) ).
tcf(c_30012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(X3,sK3)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_1171,c_13224]) ).
tcf(c_30013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),sK1)
| ~ subset(X5,sK3)
| ~ subset(X2,X5)
| ~ member(sK5(image3(X0,X1,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1238,c_13224]) ).
tcf(c_30014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ subset(X3,sK3)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_1239,c_13224]) ).
tcf(c_30015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_1240,c_13224]) ).
tcf(c_30016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),sK1)
| ~ subset(X4,sK3)
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_1243,c_13224]) ).
tcf(c_30017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X5,sK3)
| ~ subset(X1,X5)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1640,c_13224]) ).
tcf(c_30018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1641,c_13224]) ).
tcf(c_30019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),X4)
| member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),sK1)
| ~ subset(X1,sK3)
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1642,c_13224]) ).
tcf(c_30020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),sK1)
| ~ subset(X5,sK3)
| ~ subset(X0,X5)
| ~ member(sK5(intersection(intersection(X0,X1),X2),X3),X4) ),
inference(superposition,[status(thm)],[c_1721,c_13224]) ).
tcf(c_30021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK1)
| ~ subset(X1,sK3)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1722,c_13224]) ).
tcf(c_30022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),sK1)
| ~ subset(X0,sK3)
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_1723,c_13224]) ).
tcf(c_30023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X5,sK3)
| ~ subset(X2,X5)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2011,c_13224]) ).
tcf(c_30024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ subset(X3,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5) ),
inference(superposition,[status(thm)],[c_2012,c_13224]) ).
tcf(c_30025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),X4)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),X4),X5) ),
inference(superposition,[status(thm)],[c_2013,c_13224]) ).
tcf(c_30026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),sK1)
| ~ subset(X5,sK3)
| ~ subset(X1,X5)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),X3),X4) ),
inference(superposition,[status(thm)],[c_2080,c_13224]) ).
tcf(c_30027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2081,c_13224]) ).
tcf(c_30028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),sK1)
| ~ subset(X1,sK3)
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2082,c_13224]) ).
tcf(c_30033,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ subset(X0,sK3)
| ~ member(X1,X0)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3592,c_13224]) ).
tcf(c_30034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK6(sK0,sK2,X1)),sK1)
| ~ member(X1,sK1)
| ~ subset(X3,sK3)
| ~ member(X1,X0)
| ~ subset(X0,X3)
| ~ member(sK7(sK0,X0,sK6(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_3612,c_13224]) ).
tcf(c_30035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ subset(X1,sK3)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3613,c_13224]) ).
tcf(c_30036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),sK1)
| ~ member(X2,sK1)
| ~ subset(X0,sK3)
| ~ member(X2,intersection(X0,X1))
| ~ member(sK7(sK0,intersection(X0,X1),sK6(sK0,sK2,X2)),X3) ),
inference(superposition,[status(thm)],[c_3614,c_13224]) ).
tcf(c_30037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),sK1)
| ~ member(X3,sK1)
| ~ subset(X1,sK3)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3))),X4) ),
inference(superposition,[status(thm)],[c_3616,c_13224]) ).
tcf(c_30038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),sK1)
| ~ member(X3,sK1)
| ~ subset(X2,sK3)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),sK6(sK0,sK2,X3)),X4) ),
inference(superposition,[status(thm)],[c_3617,c_13224]) ).
tcf(c_30040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1)
| ~ subset(sK1,X3)
| ~ subset(X3,sK3)
| ~ member(sK5(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_6875,c_13224]) ).
tcf(c_30414,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_933,c_30040]) ).
tcf(c_30449,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_26639]) ).
tcf(c_30450,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_26639]) ).
tcf(c_30451,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_26639]) ).
tcf(c_30452,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_26639]) ).
tcf(c_30453,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_26639]) ).
tcf(c_30454,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_26639]) ).
tcf(c_30455,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_26639]) ).
tcf(c_30456,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_26639]) ).
tcf(c_30457,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_26639]) ).
tcf(c_30458,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_26639]) ).
tcf(c_30459,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_26639]) ).
tcf(c_30460,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_26639]) ).
tcf(c_30461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_26639]) ).
tcf(c_30462,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_26639]) ).
tcf(c_30463,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_26639]) ).
tcf(c_30464,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_26639]) ).
tcf(c_30465,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_26639]) ).
tcf(c_30466,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_26639]) ).
tcf(c_30467,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_26639]) ).
tcf(c_30468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_26639]) ).
tcf(c_30469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_26639]) ).
tcf(c_30470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_26639]) ).
tcf(c_30471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_26639]) ).
tcf(c_30472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_26639]) ).
tcf(c_30473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_26639]) ).
tcf(c_30474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_26639]) ).
tcf(c_30475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_26639]) ).
tcf(c_30476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_26639]) ).
tcf(c_30477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_26639]) ).
tcf(c_30478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_26639]) ).
tcf(c_30479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_26639]) ).
tcf(c_30480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_26639]) ).
tcf(c_30481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_26639]) ).
tcf(c_30482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_26639]) ).
tcf(c_30483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_26639]) ).
tcf(c_30484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_26639]) ).
tcf(c_30485,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_26639]) ).
tcf(c_30486,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_26639]) ).
tcf(c_30487,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_26639]) ).
tcf(c_30488,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_26639]) ).
tcf(c_30489,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_26639]) ).
tcf(c_30490,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_26639]) ).
tcf(c_30491,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_26639]) ).
tcf(c_30492,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_26639]) ).
tcf(c_30493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_26639]) ).
tcf(c_30494,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_26639]) ).
tcf(c_30495,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_26639]) ).
tcf(c_30496,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_26639]) ).
tcf(c_30497,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_26639]) ).
tcf(c_30498,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_26639]) ).
tcf(c_30499,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_26639]) ).
tcf(c_30502,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_26639]) ).
tcf(c_30503,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_26639]) ).
tcf(c_30566,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30496,c_927]) ).
tcf(c_31119,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_27162]) ).
tcf(c_31120,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_27162]) ).
tcf(c_31121,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_27162]) ).
tcf(c_31122,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_27162]) ).
tcf(c_31123,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_27162]) ).
tcf(c_31124,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_27162]) ).
tcf(c_31126,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_27162]) ).
tcf(c_31127,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_27162]) ).
tcf(c_31128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_27162]) ).
tcf(c_31129,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_27162]) ).
tcf(c_31130,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_27162]) ).
tcf(c_31131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_27162]) ).
tcf(c_31133,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_27162]) ).
tcf(c_31134,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_27162]) ).
tcf(c_31135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_27162]) ).
tcf(c_31136,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_27162]) ).
tcf(c_31137,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_27162]) ).
tcf(c_31138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_27162]) ).
tcf(c_31139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_27162]) ).
tcf(c_31140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_27162]) ).
tcf(c_31141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_27162]) ).
tcf(c_31142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_27162]) ).
tcf(c_31143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_27162]) ).
tcf(c_31144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_27162]) ).
tcf(c_31145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_27162]) ).
tcf(c_31146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_27162]) ).
tcf(c_31147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_27162]) ).
tcf(c_31148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_27162]) ).
tcf(c_31149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_27162]) ).
tcf(c_31150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_27162]) ).
tcf(c_31151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_27162]) ).
tcf(c_31152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_27162]) ).
tcf(c_31153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_27162]) ).
tcf(c_31154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_27162]) ).
tcf(c_31155,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_27162]) ).
tcf(c_31156,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_27162]) ).
tcf(c_31157,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_27162]) ).
tcf(c_31158,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_27162]) ).
tcf(c_31159,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_27162]) ).
tcf(c_31160,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_27162]) ).
tcf(c_31161,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_27162]) ).
tcf(c_31162,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_27162]) ).
tcf(c_31163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_27162]) ).
tcf(c_31164,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_27162]) ).
tcf(c_31165,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_27162]) ).
tcf(c_31166,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_27162]) ).
tcf(c_31167,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_27162]) ).
tcf(c_31168,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_27162]) ).
tcf(c_31169,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_27162]) ).
tcf(c_31172,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_27162]) ).
tcf(c_31173,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_27162]) ).
tcf(c_31232,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31166,c_927]) ).
tcf(c_31653,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_30462]) ).
tcf(c_31654,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_30462]) ).
tcf(c_31655,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_30462]) ).
tcf(c_31656,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_30462]) ).
tcf(c_31657,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_30462]) ).
tcf(c_31658,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_30462]) ).
tcf(c_31659,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_30462]) ).
tcf(c_31660,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_30462]) ).
tcf(c_31661,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_30462]) ).
tcf(c_31662,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_30462]) ).
tcf(c_31663,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_30462]) ).
tcf(c_31664,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_30462]) ).
tcf(c_31665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_30462]) ).
tcf(c_31666,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_30462]) ).
tcf(c_31667,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_30462]) ).
tcf(c_31668,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_30462]) ).
tcf(c_31669,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_30462]) ).
tcf(c_31670,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_30462]) ).
tcf(c_31671,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_30462]) ).
tcf(c_31672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_30462]) ).
tcf(c_31673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_30462]) ).
tcf(c_31674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_30462]) ).
tcf(c_31675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_30462]) ).
tcf(c_31676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_30462]) ).
tcf(c_31677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_30462]) ).
tcf(c_31678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_30462]) ).
tcf(c_31679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_30462]) ).
tcf(c_31680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_30462]) ).
tcf(c_31681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_30462]) ).
tcf(c_31682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_30462]) ).
tcf(c_31683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_30462]) ).
tcf(c_31684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_30462]) ).
tcf(c_31685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_30462]) ).
tcf(c_31686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_30462]) ).
tcf(c_31687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_30462]) ).
tcf(c_31688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_30462]) ).
tcf(c_31689,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_30462]) ).
tcf(c_31690,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_30462]) ).
tcf(c_31691,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_30462]) ).
tcf(c_31692,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_30462]) ).
tcf(c_31693,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_30462]) ).
tcf(c_31694,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_30462]) ).
tcf(c_31695,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_30462]) ).
tcf(c_31696,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_30462]) ).
tcf(c_31697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_30462]) ).
tcf(c_31698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_30462]) ).
tcf(c_31699,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_30462]) ).
tcf(c_31700,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_30462]) ).
tcf(c_31701,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_30462]) ).
tcf(c_31702,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_30462]) ).
tcf(c_31703,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_30462]) ).
tcf(c_31706,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_30462]) ).
tcf(c_31707,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_30462]) ).
tcf(c_31770,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31700,c_927]) ).
tcf(c_32203,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_31133]) ).
tcf(c_32204,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_31133]) ).
tcf(c_32205,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_31133]) ).
tcf(c_32206,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_31133]) ).
tcf(c_32207,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_31133]) ).
tcf(c_32208,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_31133]) ).
tcf(c_32210,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_31133]) ).
tcf(c_32211,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_31133]) ).
tcf(c_32212,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_31133]) ).
tcf(c_32213,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_31133]) ).
tcf(c_32214,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_31133]) ).
tcf(c_32215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_31133]) ).
tcf(c_32217,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_31133]) ).
tcf(c_32218,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_31133]) ).
tcf(c_32219,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_31133]) ).
tcf(c_32220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_31133]) ).
tcf(c_32221,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_31133]) ).
tcf(c_32222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_31133]) ).
tcf(c_32223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_31133]) ).
tcf(c_32224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_31133]) ).
tcf(c_32225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_31133]) ).
tcf(c_32226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_31133]) ).
tcf(c_32227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_31133]) ).
tcf(c_32228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_31133]) ).
tcf(c_32229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_31133]) ).
tcf(c_32230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_31133]) ).
tcf(c_32231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_31133]) ).
tcf(c_32232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_31133]) ).
tcf(c_32233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_31133]) ).
tcf(c_32234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_31133]) ).
tcf(c_32235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_31133]) ).
tcf(c_32236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_31133]) ).
tcf(c_32237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_31133]) ).
tcf(c_32238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_31133]) ).
tcf(c_32239,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_31133]) ).
tcf(c_32240,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_31133]) ).
tcf(c_32241,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_31133]) ).
tcf(c_32242,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_31133]) ).
tcf(c_32243,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_31133]) ).
tcf(c_32244,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_31133]) ).
tcf(c_32245,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_31133]) ).
tcf(c_32246,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_31133]) ).
tcf(c_32247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_31133]) ).
tcf(c_32248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_31133]) ).
tcf(c_32249,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_31133]) ).
tcf(c_32250,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_31133]) ).
tcf(c_32251,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_31133]) ).
tcf(c_32252,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_31133]) ).
tcf(c_32253,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_31133]) ).
tcf(c_32256,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_31133]) ).
tcf(c_32257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_31133]) ).
tcf(c_32316,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32250,c_927]) ).
tcf(c_32599,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_31666]) ).
tcf(c_32600,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_31666]) ).
tcf(c_32601,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_31666]) ).
tcf(c_32602,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_31666]) ).
tcf(c_32603,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_31666]) ).
tcf(c_32604,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_31666]) ).
tcf(c_32605,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_31666]) ).
tcf(c_32606,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_31666]) ).
tcf(c_32607,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_31666]) ).
tcf(c_32608,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_31666]) ).
tcf(c_32609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_31666]) ).
tcf(c_32610,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_31666]) ).
tcf(c_32611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_31666]) ).
tcf(c_32612,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_31666]) ).
tcf(c_32613,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_31666]) ).
tcf(c_32614,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_31666]) ).
tcf(c_32615,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_31666]) ).
tcf(c_32616,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_31666]) ).
tcf(c_32617,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_31666]) ).
tcf(c_32618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_31666]) ).
tcf(c_32619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_31666]) ).
tcf(c_32620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_31666]) ).
tcf(c_32621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_31666]) ).
tcf(c_32622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_31666]) ).
tcf(c_32623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_31666]) ).
tcf(c_32624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_31666]) ).
tcf(c_32625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_31666]) ).
tcf(c_32626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_31666]) ).
tcf(c_32627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_31666]) ).
tcf(c_32628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_31666]) ).
tcf(c_32629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_31666]) ).
tcf(c_32630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_31666]) ).
tcf(c_32631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_31666]) ).
tcf(c_32632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_31666]) ).
tcf(c_32633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_31666]) ).
tcf(c_32634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_31666]) ).
tcf(c_32635,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_31666]) ).
tcf(c_32636,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_31666]) ).
tcf(c_32637,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_31666]) ).
tcf(c_32638,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_31666]) ).
tcf(c_32639,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_31666]) ).
tcf(c_32640,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_31666]) ).
tcf(c_32641,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_31666]) ).
tcf(c_32642,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_31666]) ).
tcf(c_32643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_31666]) ).
tcf(c_32644,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_31666]) ).
tcf(c_32645,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_31666]) ).
tcf(c_32646,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_31666]) ).
tcf(c_32647,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_31666]) ).
tcf(c_32648,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_31666]) ).
tcf(c_32649,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_31666]) ).
tcf(c_32652,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_31666]) ).
tcf(c_32653,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_31666]) ).
tcf(c_32716,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32646,c_927]) ).
tcf(c_33028,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4974,c_12201]) ).
tcf(c_33029,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_10326]) ).
tcf(c_33030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK1),X3)
| member(sK5(intersection(X2,sK1),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_1913]) ).
tcf(c_33031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_7220]) ).
tcf(c_33032,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_6977]) ).
tcf(c_33033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK1,X2),X3)
| member(sK5(intersection(sK1,X2),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_1578]) ).
tcf(c_33034,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_2293]) ).
tcf(c_33035,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(sK1,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_2222]) ).
tcf(c_33036,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK5(sK1,X2),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_1208]) ).
tcf(c_33037,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1345]) ).
tcf(c_33038,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1284]) ).
tcf(c_33039,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_994]) ).
tcf(c_33040,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4974,c_12200]) ).
tcf(c_33041,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_4974,c_2292]) ).
tcf(c_33042,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_4974,c_2221]) ).
tcf(c_33043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK1),X4)
| member(sK5(image3(X2,X3,sK1),X4),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3116]) ).
tcf(c_33044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK1),X4)
| member(sK5(image3(X2,X3,sK1),X4),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3115]) ).
tcf(c_33045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK1),X3)
| member(sK5(intersection(X2,sK1),X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1915]) ).
tcf(c_33046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK1),X3)
| member(sK5(intersection(X2,sK1),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1914]) ).
tcf(c_33047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK1,X2),X3)
| member(sK5(intersection(sK1,X2),X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1580]) ).
tcf(c_33048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK1,X2),X3)
| member(sK5(intersection(sK1,X2),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1579]) ).
tcf(c_33049,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK5(sK1,X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1210]) ).
tcf(c_33050,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK5(sK1,X2),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1209]) ).
tcf(c_33051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X3,X4,sK1),X5),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X3,X4,sK1),X5),X6)),sK5(intersection(image3(X3,X4,sK1),X5),X6))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3176]) ).
tcf(c_33052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,image3(X4,X5,sK1)),X6)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,image3(X4,X5,sK1)),X6)),sK5(intersection(X3,image3(X4,X5,sK1)),X6))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3175]) ).
tcf(c_33053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK1),X5)
| apply(X0,sK7(X0,X1,sK5(image3(X3,X4,sK1),X5)),sK5(image3(X3,X4,sK1),X5))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3117]) ).
tcf(c_33054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,sK1)),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(X4,sK1)),X5)),sK5(intersection(X3,intersection(X4,sK1)),X5))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2952]) ).
tcf(c_33055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK1,X4)),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,intersection(sK1,X4)),X5)),sK5(intersection(X3,intersection(sK1,X4)),X5))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2949]) ).
tcf(c_33056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,sK1),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X3,sK1),X4),X5)),sK5(intersection(intersection(X3,sK1),X4),X5))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2647]) ).
tcf(c_33057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK1,X3),X4),X5)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(sK1,X3),X4),X5)),sK5(intersection(intersection(sK1,X3),X4),X5))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2644]) ).
tcf(c_33058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK1),X4)
| member(sK5(intersection(X3,sK1),X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1918]) ).
tcf(c_33059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK1,X3),X4)
| member(sK5(intersection(sK1,X3),X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1583]) ).
tcf(c_33060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(X0,X1,sK5(sK1,X3)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1212]) ).
tcf(c_33061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK1),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(X3,sK1),X4)),sK5(intersection(X3,sK1),X4))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1916]) ).
tcf(c_33062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK1,X3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(sK1,X3),X4)),sK5(intersection(sK1,X3),X4))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1581]) ).
tcf(c_33063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK5(sK1,X3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1213]) ).
tcf(c_33064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK7(X0,X1,sK5(sK1,X3)),sK5(sK1,X3))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1211]) ).
tcf(c_33065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4974,c_12209]) ).
tcf(c_33066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4974,c_12208]) ).
tcf(c_33067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_10332]) ).
tcf(c_33068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_10331]) ).
tcf(c_33069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_7222]) ).
tcf(c_33070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_7221]) ).
tcf(c_33071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_6979]) ).
tcf(c_33072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_6978]) ).
tcf(c_33073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X2,X0))))) = sK6(sK0,sK2,sK5(sK1,intersection(X2,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_2511]) ).
tcf(c_33074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X2))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_2508]) ).
tcf(c_33075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X2,X0))))) = sK6(sK0,sK2,sK5(sK1,intersection(X2,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_2411]) ).
tcf(c_33076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X2))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_2408]) ).
tcf(c_33077,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2295]) ).
tcf(c_33078,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2294]) ).
tcf(c_33079,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2224]) ).
tcf(c_33080,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,X1))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2223]) ).
tcf(c_33081,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1347]) ).
tcf(c_33082,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1346]) ).
tcf(c_33083,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1286]) ).
tcf(c_33084,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,X2))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1285]) ).
tcf(c_33085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK5(X0,X4),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_4974,c_12212]) ).
tcf(c_33086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_10335]) ).
tcf(c_33087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(sK4,X3),X4)),sK5(intersection(sK4,X3),X4))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_7223]) ).
tcf(c_33088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| apply(X0,sK7(X0,X1,sK5(intersection(sK3,X3),X4)),sK5(intersection(sK3,X3),X4))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_6980]) ).
tcf(c_33089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK7(X0,X1,sK5(intersection(sK4,X3),X4)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_7224]) ).
tcf(c_33090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK7(X0,X1,sK5(intersection(sK3,X3),X4)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_6981]) ).
tcf(c_33091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_7225]) ).
tcf(c_33092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_6982]) ).
tcf(c_33093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK6(sK0,sK2,X0)),sK6(sK0,sK2,X0))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1348]) ).
tcf(c_33094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK7(X1,X2,sK6(sK0,sK2,X0)),sK6(sK0,sK2,X0))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1287]) ).
tcf(c_33095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,sK2,X0)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1349]) ).
tcf(c_33096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,sK2,X0)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1288]) ).
tcf(c_33097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X2,X3,X0))))) = sK6(sK0,sK2,sK5(sK1,image3(X2,X3,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_3165]) ).
tcf(c_33098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X2,X3,X0))))) = sK6(sK0,sK2,sK5(sK1,image3(X2,X3,X0))) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4974,c_3164]) ).
tcf(c_33099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| apply(X0,sK7(X0,X1,sK5(sK4,X3)),sK5(sK4,X3))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2296]) ).
tcf(c_33100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(X0,X1,sK5(sK3,X3)),sK5(sK3,X3))
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2225]) ).
tcf(c_33101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK7(X0,X1,sK5(sK4,X3)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2297]) ).
tcf(c_33102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK5(sK3,X3)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2226]) ).
tcf(c_33103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2298]) ).
tcf(c_33104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2227]) ).
tcf(c_33105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1350]) ).
tcf(c_33106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,X3))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4974,c_1289]) ).
tcf(c_33107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2510]) ).
tcf(c_33108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2509]) ).
tcf(c_33109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2410]) ).
tcf(c_33110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))))) = sK6(sK0,sK2,sK5(sK1,intersection(intersection(X0,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2409]) ).
tcf(c_33111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2513]) ).
tcf(c_33112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2512]) ).
tcf(c_33113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2413]) ).
tcf(c_33114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,intersection(X1,X2)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2412]) ).
tcf(c_33115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(image3(X0,X1,X2),X3))))) = sK6(sK0,sK2,sK5(sK1,intersection(image3(X0,X1,X2),X3))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2820]) ).
tcf(c_33116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(image3(X0,X1,X2),X3))))) = sK6(sK0,sK2,sK5(sK1,intersection(image3(X0,X1,X2),X3))) ) ),
inference(superposition,[status(thm)],[c_4974,c_2819]) ).
tcf(c_33117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,image3(X1,X2,X3)))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,image3(X1,X2,X3)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3046]) ).
tcf(c_33118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X0,image3(X1,X2,X3)))))) = sK6(sK0,sK2,sK5(sK1,intersection(X0,image3(X1,X2,X3)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3045]) ).
tcf(c_33119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3452]) ).
tcf(c_33120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3451]) ).
tcf(c_33121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3358]) ).
tcf(c_33122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,intersection(X2,X3)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3357]) ).
tcf(c_33123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,image3(X2,X3,X4)))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_4791]) ).
tcf(c_33124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,image3(X2,X3,X4)))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,image3(X2,X3,X4)))) ) ),
inference(superposition,[status(thm)],[c_4974,c_4790]) ).
tcf(c_33125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(sK3,X1))))) = sK6(sK0,sK2,sK5(sK1,intersection(sK3,X1))) )
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_4974,c_19324]) ).
tcf(c_33126,plain,
( subset(sK1,sK1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,sK3)))) = sK6(sK0,sK2,sK5(sK1,sK3)) ) ),
inference(superposition,[status(thm)],[c_4974,c_12385]) ).
tcf(c_33127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),sK1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,intersection(X1,sK3))))) = sK6(sK0,sK2,sK5(sK1,intersection(X1,sK3))) )
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_4974,c_19237]) ).
tcf(c_33128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),sK1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X1,X2,sK3))))) = sK6(sK0,sK2,sK5(sK1,image3(X1,X2,sK3))) )
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_4974,c_26502]) ).
tcf(c_33158,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33035,c_927]) ).
tcf(c_33162,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33034,c_927]) ).
tcf(c_33261,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33032,c_927]) ).
tcf(c_33265,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33031,c_927]) ).
tcf(c_33273,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X0)))) = sK6(sK0,sK2,sK5(sK1,X0)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33029,c_927]) ).
tcf(c_33277,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(X0,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33028,c_927]) ).
tcf(c_33364,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33038,c_927]) ).
tcf(c_33369,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,X1)))) = sK6(sK0,sK2,sK5(sK1,X1)) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33037,c_927]) ).
tcf(c_33831,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(X0,X1))
| ~ member(sK5(X0,intersection(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_55,c_1093]) ).
tcf(c_33832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,intersection(intersection(X1,X2),X3))
| ~ member(sK5(X0,intersection(intersection(X1,X2),X3)),X3)
| ~ member(sK5(X0,intersection(intersection(X1,X2),X3)),X2)
| ~ member(sK5(X0,intersection(intersection(X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_57,c_1093]) ).
tcf(c_33833,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),intersection(X0,X2))
| ~ member(sK5(intersection(X0,X1),intersection(X0,X2)),X2) ),
inference(superposition,[status(thm)],[c_933,c_1093]) ).
tcf(c_33834,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),intersection(X1,X2))
| ~ member(sK5(intersection(X0,X1),intersection(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_941,c_1093]) ).
tcf(c_33835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),intersection(X2,X3))
| ~ member(sK5(image3(X0,X1,X2),intersection(X2,X3)),X3) ),
inference(superposition,[status(thm)],[c_948,c_1093]) ).
tcf(c_33836,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,intersection(X1,X2))
| ~ subset(sK1,X1)
| ~ subset(X0,sK3)
| ~ member(sK5(X0,intersection(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_8916,c_1093]) ).
tcf(c_33837,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X1)
| ~ member(sK5(X0,intersection(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_958,c_1093]) ).
tcf(c_33838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),intersection(X2,X3))
| ~ subset(X0,X2)
| ~ member(sK5(intersection(X0,X1),intersection(X2,X3)),X3) ),
inference(superposition,[status(thm)],[c_972,c_1093]) ).
tcf(c_33839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),intersection(X1,X3))
| ~ member(sK5(intersection(intersection(X0,X1),X2),intersection(X1,X3)),X3) ),
inference(superposition,[status(thm)],[c_973,c_1093]) ).
tcf(c_33840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),intersection(X0,X3))
| ~ member(sK5(intersection(intersection(X0,X1),X2),intersection(X0,X3)),X3) ),
inference(superposition,[status(thm)],[c_974,c_1093]) ).
tcf(c_33841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),intersection(X2,X4))
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),intersection(X2,X4)),X4) ),
inference(superposition,[status(thm)],[c_975,c_1093]) ).
tcf(c_33842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),intersection(X2,X3))
| ~ subset(X1,X2)
| ~ member(sK5(intersection(X0,X1),intersection(X2,X3)),X3) ),
inference(superposition,[status(thm)],[c_1166,c_1093]) ).
tcf(c_33843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),intersection(X2,X3))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),intersection(X2,X3)),X3) ),
inference(superposition,[status(thm)],[c_1167,c_1093]) ).
tcf(c_33844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),intersection(X1,X3))
| ~ member(sK5(intersection(X0,intersection(X1,X2)),intersection(X1,X3)),X3) ),
inference(superposition,[status(thm)],[c_1168,c_1093]) ).
tcf(c_33845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),intersection(X3,X4))
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_1171,c_1093]) ).
tcf(c_33846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),intersection(X3,X4))
| ~ subset(X2,X3)
| ~ member(sK5(image3(X0,X1,X2),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_1238,c_1093]) ).
tcf(c_33847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),intersection(X3,X4))
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_1239,c_1093]) ).
tcf(c_33848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),intersection(X2,X4))
| ~ member(sK5(image3(X0,X1,intersection(X2,X3)),intersection(X2,X4)),X4) ),
inference(superposition,[status(thm)],[c_1240,c_1093]) ).
tcf(c_33849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),intersection(X4,X5))
| ~ member(sK5(image3(X0,X1,image3(X2,X3,X4)),intersection(X4,X5)),X5) ),
inference(superposition,[status(thm)],[c_1243,c_1093]) ).
tcf(c_33850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),intersection(X3,X4))
| ~ subset(X1,X3)
| ~ member(sK5(intersection(intersection(X0,X1),X2),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_1640,c_1093]) ).
tcf(c_33851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),intersection(X2,X4))
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),intersection(X2,X4)),X4) ),
inference(superposition,[status(thm)],[c_1641,c_1093]) ).
tcf(c_33852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,intersection(X1,X2)),X3),intersection(X1,X4))
| ~ member(sK5(intersection(intersection(X0,intersection(X1,X2)),X3),intersection(X1,X4)),X4) ),
inference(superposition,[status(thm)],[c_1642,c_1093]) ).
tcf(c_33853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),intersection(X3,X4))
| ~ subset(X0,X3)
| ~ member(sK5(intersection(intersection(X0,X1),X2),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_1721,c_1093]) ).
tcf(c_33854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),intersection(X1,X4))
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),intersection(X1,X4)),X4) ),
inference(superposition,[status(thm)],[c_1722,c_1093]) ).
tcf(c_33855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),intersection(X0,X4))
| ~ member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),intersection(X0,X4)),X4) ),
inference(superposition,[status(thm)],[c_1723,c_1093]) ).
tcf(c_33856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),intersection(X3,X4))
| ~ subset(X2,X3)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_2011,c_1093]) ).
tcf(c_33857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),intersection(X3,X4))
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_2012,c_1093]) ).
tcf(c_33858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,X3))),intersection(X2,X4))
| ~ member(sK5(intersection(X0,intersection(X1,intersection(X2,X3))),intersection(X2,X4)),X4) ),
inference(superposition,[status(thm)],[c_2013,c_1093]) ).
tcf(c_33859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,X2)),intersection(X3,X4))
| ~ subset(X1,X3)
| ~ member(sK5(intersection(X0,intersection(X1,X2)),intersection(X3,X4)),X4) ),
inference(superposition,[status(thm)],[c_2080,c_1093]) ).
tcf(c_33860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),intersection(X2,X4))
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),intersection(X2,X4)),X4) ),
inference(superposition,[status(thm)],[c_2081,c_1093]) ).
tcf(c_33861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),intersection(X1,X4))
| ~ member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),intersection(X1,X4)),X4) ),
inference(superposition,[status(thm)],[c_2082,c_1093]) ).
tcf(c_33862,plain,
! [X0: $i,X1: $i] :
( subset(sK3,intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ member(sK5(sK3,intersection(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2184,c_1093]) ).
tcf(c_33863,plain,
! [X0: $i,X1: $i] :
( subset(sK4,intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ member(sK5(sK4,intersection(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2185,c_1093]) ).
tcf(c_33864,plain,
! [X0: $i] :
( subset(sK3,intersection(sK1,X0))
| ~ member(sK5(sK3,intersection(sK1,X0)),X0) ),
inference(superposition,[status(thm)],[c_16125,c_1093]) ).
tcf(c_33865,plain,
! [X0: $i] :
( subset(sK4,intersection(sK1,X0))
| ~ member(sK5(sK4,intersection(sK1,X0)),X0) ),
inference(superposition,[status(thm)],[c_16153,c_1093]) ).
tcf(c_33866,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),intersection(X1,X2))
| ~ subset(sK1,X1)
| ~ member(sK5(intersection(sK3,X0),intersection(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_6874,c_1093]) ).
tcf(c_33867,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),intersection(X1,X2))
| ~ subset(sK1,X1)
| ~ member(sK5(intersection(sK4,X0),intersection(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_6875,c_1093]) ).
tcf(c_33868,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),intersection(sK1,X1))
| ~ member(sK5(intersection(sK3,X0),intersection(sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_16195,c_1093]) ).
tcf(c_33869,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),intersection(X1,X2))
| ~ subset(sK1,X1)
| ~ member(sK5(intersection(X0,sK3),intersection(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_8914,c_1093]) ).
tcf(c_33870,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(sK1,X1))
| ~ subset(X0,sK3)
| ~ member(sK5(X0,intersection(sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_16434,c_1093]) ).
tcf(c_33871,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(sK4,X0),intersection(sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_10631,c_1093]) ).
tcf(c_33872,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(sK4,X0),intersection(sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_10630,c_1093]) ).
tcf(c_33873,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),intersection(sK1,X1))
| ~ member(sK5(intersection(X0,sK3),intersection(sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_16431,c_1093]) ).
tcf(c_33874,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),intersection(sK1,X2))
| ~ member(sK5(image3(X0,X1,sK3),intersection(sK1,X2)),X2) ),
inference(superposition,[status(thm)],[c_16432,c_1093]) ).
tcf(c_34086,plain,
! [X0: $i] : subset(X0,intersection(X0,X0)),
inference(superposition,[status(thm)],[c_55,c_33831]) ).
tcf(c_34087,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,intersection(X0,intersection(X1,X2)))
| ~ member(sK5(X0,intersection(X0,intersection(X1,X2))),X2)
| ~ member(sK5(X0,intersection(X0,intersection(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_57,c_33831]) ).
tcf(c_34088,plain,
! [X0: $i,X1: $i] : subset(intersection(X0,X1),intersection(intersection(X0,X1),X0)),
inference(superposition,[status(thm)],[c_933,c_33831]) ).
tcf(c_34089,plain,
! [X0: $i,X1: $i] : subset(intersection(X0,X1),intersection(intersection(X0,X1),X1)),
inference(superposition,[status(thm)],[c_941,c_33831]) ).
tcf(c_34090,plain,
! [X0: $i,X1: $i,X2: $i] : subset(image3(X0,X1,X2),intersection(image3(X0,X1,X2),X2)),
inference(superposition,[status(thm)],[c_948,c_33831]) ).
tcf(c_34091,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(X0,X1))
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_33831]) ).
tcf(c_34092,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(X0,X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_958,c_33831]) ).
tcf(c_34093,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X2),intersection(intersection(X0,X2),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_972,c_33831]) ).
tcf(c_34094,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(X0,X1),X2),intersection(intersection(intersection(X0,X1),X2),X1)),
inference(superposition,[status(thm)],[c_973,c_33831]) ).
tcf(c_34095,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(intersection(X0,X1),X2),intersection(intersection(intersection(X0,X1),X2),X0)),
inference(superposition,[status(thm)],[c_974,c_33831]) ).
tcf(c_34096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(image3(X0,X1,X2),X3),intersection(intersection(image3(X0,X1,X2),X3),X2)),
inference(superposition,[status(thm)],[c_975,c_33831]) ).
tcf(c_34097,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X2,X0),intersection(intersection(X2,X0),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1166,c_33831]) ).
tcf(c_34098,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(X1,X2)),intersection(intersection(X0,intersection(X1,X2)),X2)),
inference(superposition,[status(thm)],[c_1167,c_33831]) ).
tcf(c_34099,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(X0,intersection(X1,X2)),intersection(intersection(X0,intersection(X1,X2)),X1)),
inference(superposition,[status(thm)],[c_1168,c_33831]) ).
tcf(c_34100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,image3(X1,X2,X3)),intersection(intersection(X0,image3(X1,X2,X3)),X3)),
inference(superposition,[status(thm)],[c_1171,c_33831]) ).
tcf(c_34101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X2,X3,X0),intersection(image3(X2,X3,X0),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1238,c_33831]) ).
tcf(c_34102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,intersection(X2,X3)),intersection(image3(X0,X1,intersection(X2,X3)),X3)),
inference(superposition,[status(thm)],[c_1239,c_33831]) ).
tcf(c_34103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,intersection(X2,X3)),intersection(image3(X0,X1,intersection(X2,X3)),X2)),
inference(superposition,[status(thm)],[c_1240,c_33831]) ).
tcf(c_34104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(image3(X0,X1,image3(X2,X3,X4)),intersection(image3(X0,X1,image3(X2,X3,X4)),X4)),
inference(superposition,[status(thm)],[c_1243,c_33831]) ).
tcf(c_34105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X2,X0),X3),intersection(intersection(intersection(X2,X0),X3),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1640,c_33831]) ).
tcf(c_34106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(X0,intersection(X1,X2)),X3),intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X2)),
inference(superposition,[status(thm)],[c_1641,c_33831]) ).
tcf(c_34107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(X0,intersection(X1,X2)),X3),intersection(intersection(intersection(X0,intersection(X1,X2)),X3),X1)),
inference(superposition,[status(thm)],[c_1642,c_33831]) ).
tcf(c_34108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X2),X3),intersection(intersection(intersection(X0,X2),X3),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1721,c_33831]) ).
tcf(c_34109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(intersection(X0,X1),X2),X3),intersection(intersection(intersection(intersection(X0,X1),X2),X3),X1)),
inference(superposition,[status(thm)],[c_1722,c_33831]) ).
tcf(c_34110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(intersection(X0,X1),X2),X3),intersection(intersection(intersection(intersection(X0,X1),X2),X3),X0)),
inference(superposition,[status(thm)],[c_1723,c_33831]) ).
tcf(c_34111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(X3,X0)),intersection(intersection(X2,intersection(X3,X0)),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2011,c_33831]) ).
tcf(c_34112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(X1,intersection(X2,X3))),intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X3)),
inference(superposition,[status(thm)],[c_2012,c_33831]) ).
tcf(c_34113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(X1,intersection(X2,X3))),intersection(intersection(X0,intersection(X1,intersection(X2,X3))),X2)),
inference(superposition,[status(thm)],[c_2013,c_33831]) ).
tcf(c_34114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(X0,X3)),intersection(intersection(X2,intersection(X0,X3)),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2080,c_33831]) ).
tcf(c_34115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(intersection(X1,X2),X3)),intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X2)),
inference(superposition,[status(thm)],[c_2081,c_33831]) ).
tcf(c_34116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(intersection(X1,X2),X3)),intersection(intersection(X0,intersection(intersection(X1,X2),X3)),X1)),
inference(superposition,[status(thm)],[c_2082,c_33831]) ).
tcf(c_34117,plain,
! [X0: $i] :
( subset(sK3,intersection(sK3,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2184,c_33831]) ).
tcf(c_34118,plain,
! [X0: $i] :
( subset(sK4,intersection(sK4,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2185,c_33831]) ).
tcf(c_34119,plain,
subset(sK3,intersection(sK3,sK1)),
inference(superposition,[status(thm)],[c_16125,c_33831]) ).
tcf(c_34120,plain,
subset(sK4,intersection(sK4,sK1)),
inference(superposition,[status(thm)],[c_16153,c_33831]) ).
tcf(c_34121,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X1),intersection(intersection(sK3,X1),X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6874,c_33831]) ).
tcf(c_34122,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(intersection(sK4,X1),X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_33831]) ).
tcf(c_34123,plain,
! [X0: $i] : subset(intersection(sK3,X0),intersection(intersection(sK3,X0),sK1)),
inference(superposition,[status(thm)],[c_16195,c_33831]) ).
tcf(c_34124,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X1,sK3),intersection(intersection(X1,sK3),X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8914,c_33831]) ).
tcf(c_34125,plain,
! [X0: $i] :
( subset(X0,intersection(X0,sK1))
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_33831]) ).
tcf(c_34126,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_10631,c_33831]) ).
tcf(c_34127,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_10630,c_33831]) ).
tcf(c_34128,plain,
! [X0: $i] : subset(intersection(X0,sK3),intersection(intersection(X0,sK3),sK1)),
inference(superposition,[status(thm)],[c_16431,c_33831]) ).
tcf(c_34129,plain,
! [X0: $i,X1: $i] : subset(image3(X0,X1,sK3),intersection(image3(X0,X1,sK3),sK1)),
inference(superposition,[status(thm)],[c_16432,c_33831]) ).
tcf(c_34314,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(X1,X1))
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34086,c_12201]) ).
tcf(c_34315,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(X0,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_10326]) ).
tcf(c_34316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X1)
| ~ subset(intersection(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_34086,c_1913]) ).
tcf(c_34317,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(X0,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_7220]) ).
tcf(c_34318,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(X0,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_6977]) ).
tcf(c_34319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X1)
| ~ subset(intersection(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_34086,c_1578]) ).
tcf(c_34320,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(X0,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_2293]) ).
tcf(c_34321,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(X0,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_2222]) ).
tcf(c_34322,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(intersection(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_34086,c_1208]) ).
tcf(c_34323,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,X0))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_1345]) ).
tcf(c_34324,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,X0))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34086,c_1284]) ).
tcf(c_34325,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,X0))
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_34086,c_994]) ).
tcf(c_34326,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(intersection(X1,X2),intersection(X1,X2)))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34086,c_1094]) ).
tcf(c_34329,plain,
! [X0: $i] :
( subset(X0,intersection(sK1,sK1))
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34086,c_12200]) ).
tcf(c_34330,plain,
subset(sK4,intersection(sK1,sK1)),
inference(superposition,[status(thm)],[c_34086,c_2292]) ).
tcf(c_34331,plain,
subset(sK3,intersection(sK1,sK1)),
inference(superposition,[status(thm)],[c_34086,c_2221]) ).
tcf(c_34344,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1) ),
inference(superposition,[status(thm)],[c_34086,c_7222]) ).
tcf(c_34360,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),intersection(image3(sK0,X2,X1),image3(sK0,X2,X1)))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_34086,c_1463]) ).
tcf(c_34558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X2,X0,X3),X4),X5)
| member(sK7(X2,X0,sK5(intersection(image3(X2,X0,X3),X4),X5)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1110,c_56]) ).
tcf(c_34559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK1)
| ~ subset(X1,sK3)
| ~ member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),X5) ),
inference(superposition,[status(thm)],[c_1110,c_13224]) ).
tcf(c_34560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK1)
| ~ member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK3) ),
inference(superposition,[status(thm)],[c_1110,c_12924]) ).
tcf(c_34561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK4) ),
inference(superposition,[status(thm)],[c_1110,c_11170]) ).
tcf(c_34562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK4) ),
inference(superposition,[status(thm)],[c_1110,c_10956]) ).
tcf(c_34563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),X5)
| ~ subset(sK1,X5)
| ~ member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK4) ),
inference(superposition,[status(thm)],[c_1110,c_7357]) ).
tcf(c_34564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),X5)
| ~ subset(sK1,X5)
| ~ member(sK7(X0,X1,sK5(intersection(image3(X0,X1,X2),X3),X4)),sK3) ),
inference(superposition,[status(thm)],[c_1110,c_7083]) ).
tcf(c_34565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,intersection(X1,X2),X3),X4),X5)
| member(sK7(X0,intersection(X1,X2),sK5(intersection(image3(X0,intersection(X1,X2),X3),X4),X5)),X2) ),
inference(superposition,[status(thm)],[c_1110,c_59]) ).
tcf(c_34566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,intersection(X1,X2),X3),X4),X5)
| member(sK7(X0,intersection(X1,X2),sK5(intersection(image3(X0,intersection(X1,X2),X3),X4),X5)),X1) ),
inference(superposition,[status(thm)],[c_1110,c_58]) ).
tcf(c_34567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X2,image3(X0,X1,X3),X4),X5),X6)
| apply(X0,sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK5(intersection(image3(X2,image3(X0,X1,X3),X4),X5),X6))),sK7(X2,image3(X0,X1,X3),sK5(intersection(image3(X2,image3(X0,X1,X3),X4),X5),X6))) ),
inference(superposition,[status(thm)],[c_1110,c_68]) ).
tcf(c_34568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X2,image3(X0,X1,X3),X4),X5),X6)
| member(sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK5(intersection(image3(X2,image3(X0,X1,X3),X4),X5),X6))),X1) ),
inference(superposition,[status(thm)],[c_1110,c_67]) ).
tcf(c_34569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,image3(X1,X2,X3),X4),X5),X6)
| member(sK7(X0,image3(X1,X2,X3),sK5(intersection(image3(X0,image3(X1,X2,X3),X4),X5),X6)),X3) ),
inference(superposition,[status(thm)],[c_1110,c_66]) ).
tcf(c_34570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_31666]) ).
tcf(c_34571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_31133]) ).
tcf(c_34572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_30462]) ).
tcf(c_34573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_27162]) ).
tcf(c_34574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_26639]) ).
tcf(c_34575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_23938]) ).
tcf(c_34576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_23466]) ).
tcf(c_34577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_23133]) ).
tcf(c_34578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_22748]) ).
tcf(c_34579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_21378]) ).
tcf(c_34580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_20984]) ).
tcf(c_34581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_17471]) ).
tcf(c_34582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_17052]) ).
tcf(c_34583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_14454]) ).
tcf(c_34584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_6414]) ).
tcf(c_34585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_6070]) ).
tcf(c_34586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_5860]) ).
tcf(c_34587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_5547]) ).
tcf(c_34588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_5271]) ).
tcf(c_34589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_4987]) ).
tcf(c_34590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_4986]) ).
tcf(c_34591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))) = sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))) ) ),
inference(superposition,[status(thm)],[c_1110,c_4945]) ).
tcf(c_34592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,intersection(X1,sK3),X2),X3),X4)
| member(sK7(X0,intersection(X1,sK3),sK5(intersection(image3(X0,intersection(X1,sK3),X2),X3),X4)),sK1)
| ~ member(sK7(X0,intersection(X1,sK3),sK5(intersection(image3(X0,intersection(X1,sK3),X2),X3),X4)),X5) ),
inference(superposition,[status(thm)],[c_1110,c_13080]) ).
tcf(c_34593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,intersection(sK3,X1),X2),X3),X4)
| member(sK7(X0,intersection(sK3,X1),sK5(intersection(image3(X0,intersection(sK3,X1),X2),X3),X4)),sK1)
| ~ member(sK7(X0,intersection(sK3,X1),sK5(intersection(image3(X0,intersection(sK3,X1),X2),X3),X4)),X5) ),
inference(superposition,[status(thm)],[c_1110,c_13482]) ).
tcf(c_34594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,image3(X1,X2,sK3),X3),X4),X5)
| member(sK7(X0,image3(X1,X2,sK3),sK5(intersection(image3(X0,image3(X1,X2,sK3),X3),X4),X5)),sK1)
| ~ member(sK7(X0,image3(X1,X2,sK3),sK5(intersection(image3(X0,image3(X1,X2,sK3),X3),X4),X5)),X6) ),
inference(superposition,[status(thm)],[c_1110,c_13755]) ).
tcf(c_34732,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_14697,c_34344]) ).
tcf(c_34740,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ member(sK5(intersection(sK4,X0),intersection(sK1,X1)),X1) ),
inference(superposition,[status(thm)],[c_34732,c_2331]) ).
tcf(c_34741,plain,
! [X0: $i] : subset(intersection(sK4,X0),intersection(intersection(sK4,X0),sK1)),
inference(superposition,[status(thm)],[c_34732,c_11554]) ).
tcf(c_35052,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),intersection(sK3,sK1))
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34119,c_12201]) ).
tcf(c_35053,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),intersection(sK3,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34119,c_10326]) ).
tcf(c_35054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ~ subset(intersection(sK3,sK1),X0) ),
inference(superposition,[status(thm)],[c_34119,c_1913]) ).
tcf(c_35055,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),intersection(sK3,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34119,c_7220]) ).
tcf(c_35056,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),intersection(sK3,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34119,c_6977]) ).
tcf(c_35057,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ~ subset(intersection(sK3,sK1),X0) ),
inference(superposition,[status(thm)],[c_34119,c_1578]) ).
tcf(c_35058,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),intersection(sK3,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34119,c_2293]) ).
tcf(c_35059,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),intersection(sK3,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34119,c_2222]) ).
tcf(c_35060,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ~ subset(intersection(sK3,sK1),X0) ),
inference(superposition,[status(thm)],[c_34119,c_1208]) ).
tcf(c_35061,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK3,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34119,c_1345]) ).
tcf(c_35062,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK3,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34119,c_1284]) ).
tcf(c_35063,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK3,sK1))
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34119,c_994]) ).
tcf(c_35064,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),sK3) ),
inference(superposition,[status(thm)],[c_34119,c_3116]) ).
tcf(c_35066,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),sK3) ),
inference(superposition,[status(thm)],[c_34119,c_1915]) ).
tcf(c_35068,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),sK3) ),
inference(superposition,[status(thm)],[c_34119,c_1580]) ).
tcf(c_35070,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_34119,c_1210]) ).
tcf(c_35214,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),intersection(sK4,sK1))
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34120,c_12201]) ).
tcf(c_35215,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),intersection(sK4,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34120,c_10326]) ).
tcf(c_35216,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK4),X2)
| member(sK5(intersection(X1,sK4),X2),X0)
| ~ subset(intersection(sK4,sK1),X0) ),
inference(superposition,[status(thm)],[c_34120,c_1913]) ).
tcf(c_35217,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),intersection(sK4,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34120,c_7220]) ).
tcf(c_35218,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),intersection(sK4,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34120,c_6977]) ).
tcf(c_35219,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(intersection(sK4,sK1),X0) ),
inference(superposition,[status(thm)],[c_34120,c_1578]) ).
tcf(c_35220,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),intersection(sK4,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34120,c_2293]) ).
tcf(c_35221,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),intersection(sK4,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34120,c_2222]) ).
tcf(c_35222,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(intersection(sK4,sK1),X0) ),
inference(superposition,[status(thm)],[c_34120,c_1208]) ).
tcf(c_35223,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK4,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34120,c_1345]) ).
tcf(c_35224,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK4,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34120,c_1284]) ).
tcf(c_35225,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK4,sK1))
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34120,c_994]) ).
tcf(c_35226,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK4),X2)
| member(sK5(image3(X0,X1,sK4),X2),sK4) ),
inference(superposition,[status(thm)],[c_34120,c_3116]) ).
tcf(c_35227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK4),X2)
| member(sK5(image3(X0,X1,sK4),X2),sK1) ),
inference(superposition,[status(thm)],[c_34120,c_3115]) ).
tcf(c_35228,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK4),X1)
| member(sK5(intersection(X0,sK4),X1),sK4) ),
inference(superposition,[status(thm)],[c_34120,c_1915]) ).
tcf(c_35229,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK4),X1)
| member(sK5(intersection(X0,sK4),X1),sK1) ),
inference(superposition,[status(thm)],[c_34120,c_1914]) ).
tcf(c_35230,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),sK4) ),
inference(superposition,[status(thm)],[c_34120,c_1580]) ).
tcf(c_35232,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),sK4) ),
inference(superposition,[status(thm)],[c_34120,c_1210]) ).
tcf(c_35375,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34330,c_12201]) ).
tcf(c_35376,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34330,c_10326]) ).
tcf(c_35377,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK4),X2)
| member(sK5(intersection(X1,sK4),X2),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34330,c_1913]) ).
tcf(c_35378,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34330,c_7220]) ).
tcf(c_35379,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34330,c_6977]) ).
tcf(c_35380,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34330,c_1578]) ).
tcf(c_35381,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34330,c_2293]) ).
tcf(c_35382,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_34330,c_2222]) ).
tcf(c_35383,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34330,c_1208]) ).
tcf(c_35384,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34330,c_1345]) ).
tcf(c_35385,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34330,c_1284]) ).
tcf(c_35386,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34330,c_994]) ).
tcf(c_35647,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34331,c_12201]) ).
tcf(c_35648,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34331,c_10326]) ).
tcf(c_35649,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34331,c_1913]) ).
tcf(c_35650,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34331,c_7220]) ).
tcf(c_35651,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34331,c_6977]) ).
tcf(c_35652,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34331,c_1578]) ).
tcf(c_35653,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34331,c_2293]) ).
tcf(c_35654,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_34331,c_2222]) ).
tcf(c_35655,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34331,c_1208]) ).
tcf(c_35656,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34331,c_1345]) ).
tcf(c_35657,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34331,c_1284]) ).
tcf(c_35658,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34331,c_994]) ).
tcf(c_35753,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(sK3,X1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34117,c_12201]) ).
tcf(c_35754,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_10326]) ).
tcf(c_35755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_34117,c_1913]) ).
tcf(c_35756,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_7220]) ).
tcf(c_35757,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_6977]) ).
tcf(c_35758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_34117,c_1578]) ).
tcf(c_35759,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_2293]) ).
tcf(c_35760,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_2222]) ).
tcf(c_35761,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_34117,c_1208]) ).
tcf(c_35762,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_1345]) ).
tcf(c_35763,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK3,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_1284]) ).
tcf(c_35764,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK3,X0))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_994]) ).
tcf(c_35765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK5(image3(X1,X2,sK3),X3),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_3116]) ).
tcf(c_35767,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_1915]) ).
tcf(c_35769,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_1580]) ).
tcf(c_35771,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34117,c_1210]) ).
tcf(c_36052,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(sK4,X1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34118,c_12201]) ).
tcf(c_36053,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_10326]) ).
tcf(c_36054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK4),X3)
| member(sK5(intersection(X2,sK4),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_34118,c_1913]) ).
tcf(c_36055,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_7220]) ).
tcf(c_36056,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_6977]) ).
tcf(c_36057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_34118,c_1578]) ).
tcf(c_36058,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_2293]) ).
tcf(c_36059,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_2222]) ).
tcf(c_36060,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_34118,c_1208]) ).
tcf(c_36061,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_1345]) ).
tcf(c_36062,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK4,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_1284]) ).
tcf(c_36063,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK4,X0))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_994]) ).
tcf(c_36064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK4),X3)
| member(sK5(image3(X1,X2,sK4),X3),sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_3116]) ).
tcf(c_36066,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK4),X2)
| member(sK5(intersection(X1,sK4),X2),sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_1915]) ).
tcf(c_36068,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_1580]) ).
tcf(c_36070,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34118,c_1210]) ).
tcf(c_36164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(intersection(sK3,X0),X2))
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_12201]) ).
tcf(c_36165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(intersection(sK3,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_10326]) ).
tcf(c_36166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,intersection(sK3,X0)),X4)
| member(sK5(intersection(X3,intersection(sK3,X0)),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(intersection(sK3,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_34121,c_1913]) ).
tcf(c_36167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(intersection(sK3,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_7220]) ).
tcf(c_36168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(intersection(sK3,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_6977]) ).
tcf(c_36169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X0),X3),X4)
| member(sK5(intersection(intersection(sK3,X0),X3),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(intersection(sK3,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_34121,c_1578]) ).
tcf(c_36170,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(intersection(sK3,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_2293]) ).
tcf(c_36171,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(intersection(sK3,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_2222]) ).
tcf(c_36172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X0),X3)
| member(sK5(intersection(sK3,X0),X3),X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(intersection(sK3,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_34121,c_1208]) ).
tcf(c_36173,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(sK3,X0),X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_1345]) ).
tcf(c_36174,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(sK3,X0),X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_1284]) ).
tcf(c_36175,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(sK3,X0),X1))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34121,c_994]) ).
tcf(c_36176,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(intersection(sK3,X1),X2))
| ~ member(X0,sK3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34121,c_1094]) ).
tcf(c_36177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK3,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK3,X3)),X4),intersection(sK3,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34121,c_3116]) ).
tcf(c_36179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK3,X2)),X3)
| member(sK5(intersection(X1,intersection(sK3,X2)),X3),intersection(sK3,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34121,c_1915]) ).
tcf(c_36181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK3,X1),X2),X3)
| member(sK5(intersection(intersection(sK3,X1),X2),X3),intersection(sK3,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34121,c_1580]) ).
tcf(c_36183,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK3,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34121,c_1210]) ).
tcf(c_36340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(intersection(sK4,X0),X2))
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_12201]) ).
tcf(c_36341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(intersection(sK4,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_10326]) ).
tcf(c_36342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,intersection(sK4,X0)),X4)
| member(sK5(intersection(X3,intersection(sK4,X0)),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_34122,c_1913]) ).
tcf(c_36343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(intersection(sK4,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_7220]) ).
tcf(c_36344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(intersection(sK4,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_6977]) ).
tcf(c_36345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X0),X3),X4)
| member(sK5(intersection(intersection(sK4,X0),X3),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_34122,c_1578]) ).
tcf(c_36346,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(intersection(sK4,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_2293]) ).
tcf(c_36347,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(intersection(sK4,X0),X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_2222]) ).
tcf(c_36348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),X3)
| member(sK5(intersection(sK4,X0),X3),X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(intersection(sK4,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_34122,c_1208]) ).
tcf(c_36349,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(sK4,X0),X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_1345]) ).
tcf(c_36350,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(sK4,X0),X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_1284]) ).
tcf(c_36351,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(sK4,X0),X1))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_34122,c_994]) ).
tcf(c_36352,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(intersection(sK4,X1),X2))
| ~ member(X0,sK4)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34122,c_1094]) ).
tcf(c_36353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),intersection(sK4,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34122,c_3116]) ).
tcf(c_36355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),intersection(sK4,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34122,c_1915]) ).
tcf(c_36357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),intersection(sK4,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34122,c_1580]) ).
tcf(c_36359,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK4,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34122,c_1210]) ).
tcf(c_36591,plain,
! [X0: $i] : subset(intersection(sK4,X0),intersection(intersection(sK4,X0),sK1)),
inference(global_subsumption_just,[status(thm)],[c_34126,c_34741]) ).
tcf(c_36593,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(intersection(sK4,X0),sK1))
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_12201]) ).
tcf(c_36594,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_10326]) ).
tcf(c_36595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(sK4,X0)),X3)
| member(sK5(intersection(X2,intersection(sK4,X0)),X3),X1)
| ~ subset(intersection(intersection(sK4,X0),sK1),X1) ),
inference(superposition,[status(thm)],[c_36591,c_1913]) ).
tcf(c_36596,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_7220]) ).
tcf(c_36597,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_6977]) ).
tcf(c_36598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X0),X2),X3)
| member(sK5(intersection(intersection(sK4,X0),X2),X3),X1)
| ~ subset(intersection(intersection(sK4,X0),sK1),X1) ),
inference(superposition,[status(thm)],[c_36591,c_1578]) ).
tcf(c_36599,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_2293]) ).
tcf(c_36600,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_2222]) ).
tcf(c_36601,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X2)
| member(sK5(intersection(sK4,X0),X2),X1)
| ~ subset(intersection(intersection(sK4,X0),sK1),X1) ),
inference(superposition,[status(thm)],[c_36591,c_1208]) ).
tcf(c_36602,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_1345]) ).
tcf(c_36603,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(sK4,X0),sK1))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_1284]) ).
tcf(c_36604,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(sK4,X0),sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_994]) ).
tcf(c_36605,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(intersection(sK4,X1),sK1))
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_36591,c_1094]) ).
tcf(c_36606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK4,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK4,X2)),X3),intersection(sK4,X2)) ),
inference(superposition,[status(thm)],[c_36591,c_3116]) ).
tcf(c_36607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK4,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK4,X2)),X3),sK1) ),
inference(superposition,[status(thm)],[c_36591,c_3115]) ).
tcf(c_36608,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK4,X1)),X2)
| member(sK5(intersection(X0,intersection(sK4,X1)),X2),intersection(sK4,X1)) ),
inference(superposition,[status(thm)],[c_36591,c_1915]) ).
tcf(c_36609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK4,X1)),X2)
| member(sK5(intersection(X0,intersection(sK4,X1)),X2),sK1) ),
inference(superposition,[status(thm)],[c_36591,c_1914]) ).
tcf(c_36610,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,X0),X1),X2)
| member(sK5(intersection(intersection(sK4,X0),X1),X2),intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_1580]) ).
tcf(c_36611,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,X0),X1),X2)
| member(sK5(intersection(intersection(sK4,X0),X1),X2),sK1) ),
inference(superposition,[status(thm)],[c_36591,c_1579]) ).
tcf(c_36612,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_36591,c_1210]) ).
tcf(c_36739,plain,
! [X0: $i] :
( subset(sK3,intersection(X0,sK3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55,c_33862]) ).
tcf(c_36740,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,intersection(X0,intersection(X1,X2)))
| ~ subset(sK1,X0)
| ~ member(sK5(sK3,intersection(X0,intersection(X1,X2))),X2)
| ~ member(sK5(sK3,intersection(X0,intersection(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_57,c_33862]) ).
tcf(c_36741,plain,
! [X0: $i,X1: $i] :
( subset(sK3,intersection(X1,X0))
| ~ subset(sK3,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8916,c_33862]) ).
tcf(c_36742,plain,
! [X0: $i,X1: $i] :
( subset(sK3,intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK3,X0) ),
inference(superposition,[status(thm)],[c_958,c_33862]) ).
tcf(c_36743,plain,
! [X0: $i,X1: $i] :
( subset(sK3,intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2184,c_33862]) ).
tcf(c_36744,plain,
! [X0: $i] :
( subset(sK3,intersection(X0,sK1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_16125,c_33862]) ).
tcf(c_36745,plain,
! [X0: $i] :
( subset(sK3,intersection(X0,sK1))
| ~ subset(sK3,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_16434,c_33862]) ).
tcf(c_36826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),intersection(X2,X1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36743,c_12201]) ).
tcf(c_36827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_10326]) ).
tcf(c_36828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_36743,c_1913]) ).
tcf(c_36829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_7220]) ).
tcf(c_36830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_6977]) ).
tcf(c_36831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_36743,c_1578]) ).
tcf(c_36832,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_2293]) ).
tcf(c_36833,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_2222]) ).
tcf(c_36834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_36743,c_1208]) ).
tcf(c_36835,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1345]) ).
tcf(c_36836,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1284]) ).
tcf(c_36837,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,X0))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_994]) ).
tcf(c_36838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK5(image3(X2,X3,sK3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_3116]) ).
tcf(c_36839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK5(image3(X2,X3,sK3),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_3115]) ).
tcf(c_36840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1915]) ).
tcf(c_36841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1914]) ).
tcf(c_36842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1580]) ).
tcf(c_36843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1579]) ).
tcf(c_36844,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1210]) ).
tcf(c_36845,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36743,c_1209]) ).
tcf(c_37104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),intersection(intersection(X0,X1),X0))
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_12201]) ).
tcf(c_37105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(intersection(X0,X1),X0))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_10326]) ).
tcf(c_37106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,intersection(X0,X1)),X4)
| member(sK5(intersection(X3,intersection(X0,X1)),X4),X2)
| ~ subset(intersection(intersection(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_34088,c_1913]) ).
tcf(c_37107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(intersection(X0,X1),X0))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_7220]) ).
tcf(c_37108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(intersection(X0,X1),X0))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_6977]) ).
tcf(c_37109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X3),X4)
| member(sK5(intersection(intersection(X0,X1),X3),X4),X2)
| ~ subset(intersection(intersection(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_34088,c_1578]) ).
tcf(c_37110,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(intersection(X0,X1),X0))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_2293]) ).
tcf(c_37111,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(intersection(X0,X1),X0))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_2222]) ).
tcf(c_37112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X3)
| member(sK5(intersection(X0,X1),X3),X2)
| ~ subset(intersection(intersection(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_34088,c_1208]) ).
tcf(c_37113,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(X0,X1),X0))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_1345]) ).
tcf(c_37114,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(X0,X1),X0))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_1284]) ).
tcf(c_37115,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(X0,X1),X0))
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_994]) ).
tcf(c_37116,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(intersection(X1,X2),X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34088,c_1094]) ).
tcf(c_37117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(X2,X3)),X4)
| member(sK5(image3(X0,X1,intersection(X2,X3)),X4),intersection(X2,X3)) ),
inference(superposition,[status(thm)],[c_34088,c_3116]) ).
tcf(c_37119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,X2)),X3)
| member(sK5(intersection(X0,intersection(X1,X2)),X3),intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_34088,c_1915]) ).
tcf(c_37121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_1580]) ).
tcf(c_37123,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| member(sK5(intersection(X0,X1),X2),intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34088,c_1210]) ).
tcf(c_37315,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(X1,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36739,c_12201]) ).
tcf(c_37316,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_10326]) ).
tcf(c_37317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK3),X1) ),
inference(superposition,[status(thm)],[c_36739,c_1913]) ).
tcf(c_37318,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_7220]) ).
tcf(c_37319,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_6977]) ).
tcf(c_37320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK3),X1) ),
inference(superposition,[status(thm)],[c_36739,c_1578]) ).
tcf(c_37321,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_2293]) ).
tcf(c_37322,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_2222]) ).
tcf(c_37323,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK3),X1) ),
inference(superposition,[status(thm)],[c_36739,c_1208]) ).
tcf(c_37324,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_1345]) ).
tcf(c_37325,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK3))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_1284]) ).
tcf(c_37326,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK3))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36739,c_994]) ).
tcf(c_37398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,image3(X2,X0,X4)),X5)
| member(sK7(X2,X0,sK5(intersection(X3,image3(X2,X0,X4)),X5)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1170,c_56]) ).
tcf(c_37399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK1)
| ~ subset(X1,sK3)
| ~ member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),X5) ),
inference(superposition,[status(thm)],[c_1170,c_13224]) ).
tcf(c_37400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK1)
| ~ member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK3) ),
inference(superposition,[status(thm)],[c_1170,c_12924]) ).
tcf(c_37401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK4) ),
inference(superposition,[status(thm)],[c_1170,c_11170]) ).
tcf(c_37402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK4) ),
inference(superposition,[status(thm)],[c_1170,c_10956]) ).
tcf(c_37403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),X5)
| ~ subset(sK1,X5)
| ~ member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK4) ),
inference(superposition,[status(thm)],[c_1170,c_7357]) ).
tcf(c_37404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X0,X1,X3)),X4)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),X5)
| ~ subset(sK1,X5)
| ~ member(sK7(X0,X1,sK5(intersection(X2,image3(X0,X1,X3)),X4)),sK3) ),
inference(superposition,[status(thm)],[c_1170,c_7083]) ).
tcf(c_37405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,image3(X0,intersection(X1,X2),X4)),X5)
| member(sK7(X0,intersection(X1,X2),sK5(intersection(X3,image3(X0,intersection(X1,X2),X4)),X5)),X2) ),
inference(superposition,[status(thm)],[c_1170,c_59]) ).
tcf(c_37406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,image3(X0,intersection(X1,X2),X4)),X5)
| member(sK7(X0,intersection(X1,X2),sK5(intersection(X3,image3(X0,intersection(X1,X2),X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_1170,c_58]) ).
tcf(c_37407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,image3(X2,image3(X0,X1,X3),X5)),X6)
| apply(X0,sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK5(intersection(X4,image3(X2,image3(X0,X1,X3),X5)),X6))),sK7(X2,image3(X0,X1,X3),sK5(intersection(X4,image3(X2,image3(X0,X1,X3),X5)),X6))) ),
inference(superposition,[status(thm)],[c_1170,c_68]) ).
tcf(c_37408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,image3(X2,image3(X0,X1,X3),X5)),X6)
| member(sK7(X0,X1,sK7(X2,image3(X0,X1,X3),sK5(intersection(X4,image3(X2,image3(X0,X1,X3),X5)),X6))),X1) ),
inference(superposition,[status(thm)],[c_1170,c_67]) ).
tcf(c_37409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X4,image3(X0,image3(X1,X2,X3),X5)),X6)
| member(sK7(X0,image3(X1,X2,X3),sK5(intersection(X4,image3(X0,image3(X1,X2,X3),X5)),X6)),X3) ),
inference(superposition,[status(thm)],[c_1170,c_66]) ).
tcf(c_37410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_31666]) ).
tcf(c_37411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_31133]) ).
tcf(c_37412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_30462]) ).
tcf(c_37413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_27162]) ).
tcf(c_37414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_26639]) ).
tcf(c_37415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_23938]) ).
tcf(c_37416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_23466]) ).
tcf(c_37417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_23133]) ).
tcf(c_37418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_22748]) ).
tcf(c_37419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_21378]) ).
tcf(c_37420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_20984]) ).
tcf(c_37421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_17471]) ).
tcf(c_37422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_17052]) ).
tcf(c_37423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_14454]) ).
tcf(c_37424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_6414]) ).
tcf(c_37425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_6070]) ).
tcf(c_37426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_5860]) ).
tcf(c_37427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_5547]) ).
tcf(c_37428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_5271]) ).
tcf(c_37429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_4987]) ).
tcf(c_37430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_4986]) ).
tcf(c_37431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))) = sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))) ) ),
inference(superposition,[status(thm)],[c_1170,c_4945]) ).
tcf(c_37432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X0,intersection(X1,sK3),X3)),X4)
| member(sK7(X0,intersection(X1,sK3),sK5(intersection(X2,image3(X0,intersection(X1,sK3),X3)),X4)),sK1)
| ~ member(sK7(X0,intersection(X1,sK3),sK5(intersection(X2,image3(X0,intersection(X1,sK3),X3)),X4)),X5) ),
inference(superposition,[status(thm)],[c_1170,c_13080]) ).
tcf(c_37433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X0,intersection(sK3,X1),X3)),X4)
| member(sK7(X0,intersection(sK3,X1),sK5(intersection(X2,image3(X0,intersection(sK3,X1),X3)),X4)),sK1)
| ~ member(sK7(X0,intersection(sK3,X1),sK5(intersection(X2,image3(X0,intersection(sK3,X1),X3)),X4)),X5) ),
inference(superposition,[status(thm)],[c_1170,c_13482]) ).
tcf(c_37434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X3,image3(X0,image3(X1,X2,sK3),X4)),X5)
| member(sK7(X0,image3(X1,X2,sK3),sK5(intersection(X3,image3(X0,image3(X1,X2,sK3),X4)),X5)),sK1)
| ~ member(sK7(X0,image3(X1,X2,sK3),sK5(intersection(X3,image3(X0,image3(X1,X2,sK3),X4)),X5)),X6) ),
inference(superposition,[status(thm)],[c_1170,c_13755]) ).
tcf(c_37789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X0,X4),X5)
| member(sK7(X3,X0,sK5(image3(X3,X0,X4),X5)),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2752,c_56]) ).
tcf(c_37790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X5,sK3)
| ~ subset(X1,X5)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2752,c_13224]) ).
tcf(c_37791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK3) ),
inference(superposition,[status(thm)],[c_2752,c_12924]) ).
tcf(c_37792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK4) ),
inference(superposition,[status(thm)],[c_2752,c_11170]) ).
tcf(c_37793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK4) ),
inference(superposition,[status(thm)],[c_2752,c_10956]) ).
tcf(c_37794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK4) ),
inference(superposition,[status(thm)],[c_2752,c_7357]) ).
tcf(c_37795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X5)
| ~ subset(sK1,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK3) ),
inference(superposition,[status(thm)],[c_2752,c_7083]) ).
tcf(c_37796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X0,X4),X5)
| member(sK7(X3,X0,sK5(image3(X3,X0,X4),X5)),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_2752,c_59]) ).
tcf(c_37797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X0,X4),X5)
| member(sK7(X3,X0,sK5(image3(X3,X0,X4),X5)),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_2752,c_58]) ).
tcf(c_37798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| apply(X1,sK7(X1,X2,sK7(X4,X0,sK5(image3(X4,X0,X5),X6))),sK7(X4,X0,sK5(image3(X4,X0,X5),X6)))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2752,c_68]) ).
tcf(c_37799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK7(X1,X2,sK7(X4,X0,sK5(image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2752,c_67]) ).
tcf(c_37800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK7(X4,X0,sK5(image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2752,c_66]) ).
tcf(c_37801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_31666]) ).
tcf(c_37802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_31133]) ).
tcf(c_37803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_30462]) ).
tcf(c_37804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_27162]) ).
tcf(c_37805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_26639]) ).
tcf(c_37806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_23938]) ).
tcf(c_37807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_23466]) ).
tcf(c_37808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_23133]) ).
tcf(c_37809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_22748]) ).
tcf(c_37810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_21378]) ).
tcf(c_37811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_20984]) ).
tcf(c_37812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_17471]) ).
tcf(c_37813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_17052]) ).
tcf(c_37814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_14454]) ).
tcf(c_37815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_6414]) ).
tcf(c_37816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_6070]) ).
tcf(c_37817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_5860]) ).
tcf(c_37818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_5547]) ).
tcf(c_37819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_5271]) ).
tcf(c_37820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_4987]) ).
tcf(c_37821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_4986]) ).
tcf(c_37822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))) = sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_4945]) ).
tcf(c_37823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X1,intersection(X5,sK3))
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2752,c_13080]) ).
tcf(c_37824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X1,intersection(sK3,X5))
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2752,c_13482]) ).
tcf(c_37825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),sK1)
| ~ subset(X1,image3(X5,X6,sK3))
| ~ member(sK7(X0,X1,sK5(image3(X0,X1,X2),X3)),X4) ),
inference(superposition,[status(thm)],[c_2752,c_13755]) ).
tcf(c_38165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK1),X5)
| member(sK5(image3(X3,X4,sK1),X5),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_3119]) ).
tcf(c_38168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,intersection(X0,X6)),X7)
| member(sK5(image3(X4,X5,intersection(X0,X6)),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1577,c_3119]) ).
tcf(c_38169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,X5)),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,X5)),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_1639,c_3119]) ).
tcf(c_38170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(intersection(image3(X2,X3,X4),X5),X6)),X7)
| member(sK5(image3(X0,X1,intersection(intersection(image3(X2,X3,X4),X5),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_1720,c_3119]) ).
tcf(c_38171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,intersection(X6,X0)),X7)
| member(sK5(image3(X4,X5,intersection(X6,X0)),X7),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1912,c_3119]) ).
tcf(c_38172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,X6)))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,X6)))),X7),X6) ),
inference(superposition,[status(thm)],[c_2010,c_3119]) ).
tcf(c_38173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,X5),X6))),X7)
| member(sK5(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,X5),X6))),X7),X5) ),
inference(superposition,[status(thm)],[c_2079,c_3119]) ).
tcf(c_38174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,image3(X4,X5,X6)),X7)),X8)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,image3(X4,X5,X6)),X7)),X8),X6) ),
inference(superposition,[status(thm)],[c_2779,c_3119]) ).
tcf(c_38175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,image3(X5,X6,X7)))),X8)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,image3(X5,X6,X7)))),X8),X7) ),
inference(superposition,[status(thm)],[c_2985,c_3119]) ).
tcf(c_38176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,image3(X6,X7,X0)),X8)
| member(sK5(image3(X4,X5,image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_3119]) ).
tcf(c_38177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(X4,image3(X5,X6,X7)))),X8)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(X4,image3(X5,X6,X7)))),X8),X7) ),
inference(superposition,[status(thm)],[c_3324,c_3119]) ).
tcf(c_38178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,image3(X2,X3,intersection(image3(X4,X5,X6),X7))),X8)
| member(sK5(image3(X0,X1,image3(X2,X3,intersection(image3(X4,X5,X6),X7))),X8),X6) ),
inference(superposition,[status(thm)],[c_3413,c_3119]) ).
tcf(c_38179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK5(image3(X0,X1,image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_4757,c_3119]) ).
tcf(c_38180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(sK3,X5)),X6)
| member(sK5(image3(X3,X4,intersection(sK3,X5)),X6),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_3119]) ).
tcf(c_38181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(sK4,X5)),X6)
| member(sK5(image3(X3,X4,intersection(sK4,X5)),X6),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_3119]) ).
tcf(c_38182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,intersection(X5,sK3)),X6)
| member(sK5(image3(X3,X4,intersection(X5,sK3)),X6),X2)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_3119]) ).
tcf(c_38183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8)
| member(sK5(image3(X4,X5,intersection(intersection(X6,X0),X7)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_3119]) ).
tcf(c_38184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(X3,image3(X4,X5,X6))),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(X3,image3(X4,X5,X6))),X7)),X8),X6) ),
inference(superposition,[status(thm)],[c_15036,c_3119]) ).
tcf(c_38185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,intersection(image3(X3,X4,X5),X6)),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(X2,intersection(image3(X3,X4,X5),X6)),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_15347,c_3119]) ).
tcf(c_38186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8)
| member(sK5(image3(X4,X5,intersection(intersection(X0,X6),X7)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_3119]) ).
tcf(c_38187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(X2,image3(X3,X4,X5)),X6),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(X2,image3(X3,X4,X5)),X6),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_17907,c_3119]) ).
tcf(c_38188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(intersection(image3(X2,X3,X4),X5),X6),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(intersection(image3(X2,X3,X4),X5),X6),X7)),X8),X4) ),
inference(superposition,[status(thm)],[c_18284,c_3119]) ).
tcf(c_38189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8)
| member(sK5(image3(X4,X5,intersection(X6,intersection(X7,X0))),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_3119]) ).
tcf(c_38190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,X7))))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,X7))))),X8),X7) ),
inference(superposition,[status(thm)],[c_20482,c_3119]) ).
tcf(c_38191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,intersection(image3(X4,X5,X6),X7)))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,intersection(image3(X4,X5,X6),X7)))),X8),X6) ),
inference(superposition,[status(thm)],[c_21891,c_3119]) ).
tcf(c_38192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8)
| member(sK5(image3(X4,X5,intersection(X6,intersection(X0,X7))),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_3119]) ).
tcf(c_38193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(X3,image3(X4,X5,X6)),X7))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(X3,image3(X4,X5,X6)),X7))),X8),X6) ),
inference(superposition,[status(thm)],[c_24618,c_3119]) ).
tcf(c_38194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(intersection(image3(X3,X4,X5),X6),X7))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(intersection(image3(X3,X4,X5),X6),X7))),X8),X5) ),
inference(superposition,[status(thm)],[c_25178,c_3119]) ).
tcf(c_38485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),intersection(intersection(X0,X1),X1))
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_12201]) ).
tcf(c_38486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(intersection(X0,X1),X1))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_10326]) ).
tcf(c_38487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,intersection(X0,X1)),X4)
| member(sK5(intersection(X3,intersection(X0,X1)),X4),X2)
| ~ subset(intersection(intersection(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_34089,c_1913]) ).
tcf(c_38488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(intersection(X0,X1),X1))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_7220]) ).
tcf(c_38489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(intersection(X0,X1),X1))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_6977]) ).
tcf(c_38490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X3),X4)
| member(sK5(intersection(intersection(X0,X1),X3),X4),X2)
| ~ subset(intersection(intersection(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_34089,c_1578]) ).
tcf(c_38491,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(intersection(X0,X1),X1))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_2293]) ).
tcf(c_38492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(intersection(X0,X1),X1))
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_2222]) ).
tcf(c_38493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X1),X3)
| member(sK5(intersection(X0,X1),X3),X2)
| ~ subset(intersection(intersection(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_34089,c_1208]) ).
tcf(c_38494,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(X0,X1),X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_1345]) ).
tcf(c_38495,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(X0,X1),X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_1284]) ).
tcf(c_38496,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(intersection(X0,X1),X1))
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34089,c_994]) ).
tcf(c_38497,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(intersection(X1,X2),X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34089,c_1094]) ).
tcf(c_38918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ subset(X2,sK3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_12201]) ).
tcf(c_38919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_10326]) ).
tcf(c_38920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,X0),X4)
| member(sK5(intersection(X3,X0),X4),X2)
| ~ subset(X0,X1)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34092,c_1913]) ).
tcf(c_38921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_7220]) ).
tcf(c_38922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_6977]) ).
tcf(c_38923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X3),X4)
| member(sK5(intersection(X0,X3),X4),X2)
| ~ subset(X0,X1)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34092,c_1578]) ).
tcf(c_38924,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_2293]) ).
tcf(c_38925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X0,X1))
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_2222]) ).
tcf(c_38926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X2)
| ~ subset(X0,X1)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34092,c_1208]) ).
tcf(c_38927,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X0,X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_1345]) ).
tcf(c_38928,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X0,X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_1284]) ).
tcf(c_38929,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X0,X1))
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_994]) ).
tcf(c_38930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,intersection(intersection(X0,X1),X2))
| ~ member(X3,X1)
| ~ member(X3,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34092,c_1094]) ).
tcf(c_38931,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_34092,c_996]) ).
tcf(c_38933,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34092,c_12200]) ).
tcf(c_38934,plain,
! [X0: $i] :
( subset(sK4,intersection(sK1,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_2292]) ).
tcf(c_38935,plain,
! [X0: $i] :
( subset(sK3,intersection(sK1,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_2221]) ).
tcf(c_38936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK5(image3(X2,X3,X0),X4),X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_3116]) ).
tcf(c_38938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_1915]) ).
tcf(c_38940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_1580]) ).
tcf(c_38942,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34092,c_1210]) ).
tcf(c_38944,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),sK1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34092,c_12209]) ).
tcf(c_38946,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_10332]) ).
tcf(c_38948,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_7222]) ).
tcf(c_38956,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_2295]) ).
tcf(c_38958,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_2224]) ).
tcf(c_38960,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_1347]) ).
tcf(c_38962,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34092,c_1286]) ).
tcf(c_38964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(image3(sK0,X0,X1),X2))
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ member(sK6(sK0,sK2,X3),X1)
| ~ subset(image3(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34092,c_1463]) ).
tcf(c_39232,plain,
! [X0: $i] :
( subset(sK4,intersection(X0,sK4))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55,c_33863]) ).
tcf(c_39233,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,intersection(X0,intersection(X1,X2)))
| ~ subset(sK1,X0)
| ~ member(sK5(sK4,intersection(X0,intersection(X1,X2))),X2)
| ~ member(sK5(sK4,intersection(X0,intersection(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_57,c_33863]) ).
tcf(c_39234,plain,
! [X0: $i,X1: $i] :
( subset(sK4,intersection(X1,X0))
| ~ subset(sK4,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_8916,c_33863]) ).
tcf(c_39235,plain,
! [X0: $i,X1: $i] :
( subset(sK4,intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK4,X0) ),
inference(superposition,[status(thm)],[c_958,c_33863]) ).
tcf(c_39236,plain,
! [X0: $i,X1: $i] :
( subset(sK4,intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2185,c_33863]) ).
tcf(c_39237,plain,
! [X0: $i] :
( subset(sK4,intersection(X0,sK1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_16153,c_33863]) ).
tcf(c_39238,plain,
! [X0: $i] :
( subset(sK4,intersection(X0,sK1))
| ~ subset(sK4,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_16434,c_33863]) ).
tcf(c_39301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),intersection(X2,X1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39236,c_12201]) ).
tcf(c_39302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_10326]) ).
tcf(c_39303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK4),X4)
| member(sK5(intersection(X3,sK4),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39236,c_1913]) ).
tcf(c_39304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_7220]) ).
tcf(c_39305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_6977]) ).
tcf(c_39306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39236,c_1578]) ).
tcf(c_39307,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_2293]) ).
tcf(c_39308,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_2222]) ).
tcf(c_39309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39236,c_1208]) ).
tcf(c_39310,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1345]) ).
tcf(c_39311,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1284]) ).
tcf(c_39312,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,X0))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_994]) ).
tcf(c_39313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK4),X4)
| member(sK5(image3(X2,X3,sK4),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_3116]) ).
tcf(c_39314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK4),X4)
| member(sK5(image3(X2,X3,sK4),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_3115]) ).
tcf(c_39315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK4),X3)
| member(sK5(intersection(X2,sK4),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1915]) ).
tcf(c_39316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK4),X3)
| member(sK5(intersection(X2,sK4),X3),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1914]) ).
tcf(c_39317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1580]) ).
tcf(c_39318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1579]) ).
tcf(c_39320,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39236,c_1209]) ).
tcf(c_39488,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X1),intersection(X0,intersection(sK3,X1)))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55,c_33866]) ).
tcf(c_39489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X0),intersection(X1,intersection(X2,X3)))
| ~ subset(sK1,X1)
| ~ member(sK5(intersection(sK3,X0),intersection(X1,intersection(X2,X3))),X3)
| ~ member(sK5(intersection(sK3,X0),intersection(X1,intersection(X2,X3))),X2) ),
inference(superposition,[status(thm)],[c_57,c_33866]) ).
tcf(c_39490,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X1),intersection(X0,sK3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_933,c_33866]) ).
tcf(c_39491,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X1),intersection(X0,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_941,c_33866]) ).
tcf(c_39492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_33866]) ).
tcf(c_39493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(intersection(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_958,c_33866]) ).
tcf(c_39494,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X2),intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK3,X0) ),
inference(superposition,[status(thm)],[c_972,c_33866]) ).
tcf(c_39495,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1166,c_33866]) ).
tcf(c_39496,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,intersection(X1,X2)),intersection(X0,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1167,c_33866]) ).
tcf(c_39497,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,intersection(X1,X2)),intersection(X0,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1168,c_33866]) ).
tcf(c_39498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,image3(X1,X2,X3)),intersection(X0,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_33866]) ).
tcf(c_39499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,intersection(X3,X0)),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2011,c_33866]) ).
tcf(c_39500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,intersection(X1,intersection(X2,X3))),intersection(X0,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2012,c_33866]) ).
tcf(c_39501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,intersection(X1,intersection(X2,X3))),intersection(X0,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2013,c_33866]) ).
tcf(c_39502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,intersection(X0,X3)),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2080,c_33866]) ).
tcf(c_39503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,intersection(intersection(X1,X2),X3)),intersection(X0,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2081,c_33866]) ).
tcf(c_39504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,intersection(intersection(X1,X2),X3)),intersection(X0,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2082,c_33866]) ).
tcf(c_39505,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X2),intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6874,c_33866]) ).
tcf(c_39506,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X1),intersection(X0,sK1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_16195,c_33866]) ).
tcf(c_39508,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),intersection(X1,sK1))
| ~ subset(sK1,X1)
| ~ subset(intersection(sK3,X0),sK3) ),
inference(superposition,[status(thm)],[c_16434,c_33866]) ).
tcf(c_39701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X1,X4)
| member(sK5(X1,X4),intersection(X3,X2))
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_12201]) ).
tcf(c_39702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_10326]) ).
tcf(c_39703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK3,X4)),X5)
| member(sK5(intersection(X3,intersection(sK3,X4)),X5),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39505,c_1913]) ).
tcf(c_39704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_7220]) ).
tcf(c_39705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_6977]) ).
tcf(c_39706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK3,X3),X4),X5)
| member(sK5(intersection(intersection(sK3,X3),X4),X5),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39505,c_1578]) ).
tcf(c_39707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_2293]) ).
tcf(c_39708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_2222]) ).
tcf(c_39710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(X2,X1))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_1345]) ).
tcf(c_39711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(X2,X1))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_1284]) ).
tcf(c_39712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(X2,X1))
| ~ member(X3,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39505,c_994]) ).
tcf(c_39713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,intersection(X3,X2))
| ~ member(X0,sK3)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39505,c_1094]) ).
tcf(c_39714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK3,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK3,X4)),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39505,c_3116]) ).
tcf(c_39715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK3,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK3,X4)),X5),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39505,c_3115]) ).
tcf(c_39716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK3,X3)),X4)
| member(sK5(intersection(X2,intersection(sK3,X3)),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39505,c_1915]) ).
tcf(c_39717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK3,X3)),X4)
| member(sK5(intersection(X2,intersection(sK3,X3)),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39505,c_1914]) ).
tcf(c_39718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X2),X3),X4)
| member(sK5(intersection(intersection(sK3,X2),X3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39505,c_1580]) ).
tcf(c_39719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X2),X3),X4)
| member(sK5(intersection(intersection(sK3,X2),X3),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39505,c_1579]) ).
tcf(c_39817,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(X0,intersection(sK4,X1)))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55,c_33867]) ).
tcf(c_39818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X0),intersection(X1,intersection(X2,X3)))
| ~ subset(sK1,X1)
| ~ member(sK5(intersection(sK4,X0),intersection(X1,intersection(X2,X3))),X3)
| ~ member(sK5(intersection(sK4,X0),intersection(X1,intersection(X2,X3))),X2) ),
inference(superposition,[status(thm)],[c_57,c_33867]) ).
tcf(c_39819,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(X0,sK4))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_933,c_33867]) ).
tcf(c_39820,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(X0,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_941,c_33867]) ).
tcf(c_39821,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_33867]) ).
tcf(c_39822,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_958,c_33867]) ).
tcf(c_39823,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X2),intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK4,X0) ),
inference(superposition,[status(thm)],[c_972,c_33867]) ).
tcf(c_39824,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1166,c_33867]) ).
tcf(c_39825,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X1,X2)),intersection(X0,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1167,c_33867]) ).
tcf(c_39826,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X1,X2)),intersection(X0,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1168,c_33867]) ).
tcf(c_39827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,image3(X1,X2,X3)),intersection(X0,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1171,c_33867]) ).
tcf(c_39828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X3,X0)),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2011,c_33867]) ).
tcf(c_39829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X1,intersection(X2,X3))),intersection(X0,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2012,c_33867]) ).
tcf(c_39830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X1,intersection(X2,X3))),intersection(X0,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2013,c_33867]) ).
tcf(c_39831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X0,X3)),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2080,c_33867]) ).
tcf(c_39832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(intersection(X1,X2),X3)),intersection(X0,X2))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2081,c_33867]) ).
tcf(c_39833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(intersection(X1,X2),X3)),intersection(X0,X1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2082,c_33867]) ).
tcf(c_39834,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X2),intersection(X1,X0))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_33867]) ).
tcf(c_39836,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(X1,sK1))
| ~ subset(sK1,X1)
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_16434,c_33867]) ).
tcf(c_39837,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_10631,c_33867]) ).
tcf(c_39838,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_10630,c_33867]) ).
tcf(c_39839,plain,
! [X0: $i] :
( subset(intersection(sK4,sK3),intersection(X0,sK1))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_16431,c_33867]) ).
tcf(c_40047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X1,X4)
| member(sK5(X1,X4),intersection(X3,X2))
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_12201]) ).
tcf(c_40048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_10326]) ).
tcf(c_40049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK4,X4)),X5)
| member(sK5(intersection(X3,intersection(sK4,X4)),X5),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39834,c_1913]) ).
tcf(c_40050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_7220]) ).
tcf(c_40051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_6977]) ).
tcf(c_40052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK4,X3),X4),X5)
| member(sK5(intersection(intersection(sK4,X3),X4),X5),X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39834,c_1578]) ).
tcf(c_40053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_2293]) ).
tcf(c_40054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_2222]) ).
tcf(c_40056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(X2,X1))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_1345]) ).
tcf(c_40057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(X2,X1))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_1284]) ).
tcf(c_40058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(X2,X1))
| ~ member(X3,sK1)
| ~ subset(sK1,X2)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39834,c_994]) ).
tcf(c_40059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,intersection(X3,X2))
| ~ member(X0,sK4)
| ~ subset(sK1,X3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39834,c_1094]) ).
tcf(c_40060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK4,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK4,X4)),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39834,c_3116]) ).
tcf(c_40061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(sK4,X4)),X5)
| member(sK5(image3(X2,X3,intersection(sK4,X4)),X5),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39834,c_3115]) ).
tcf(c_40062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39834,c_1915]) ).
tcf(c_40063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39834,c_1914]) ).
tcf(c_40064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39834,c_1580]) ).
tcf(c_40065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39834,c_1579]) ).
tcf(c_40227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(X2,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_12201]) ).
tcf(c_40228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_10326]) ).
tcf(c_40229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39837,c_1913]) ).
tcf(c_40230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_7220]) ).
tcf(c_40231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_6977]) ).
tcf(c_40232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39837,c_1578]) ).
tcf(c_40233,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_2293]) ).
tcf(c_40234,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_2222]) ).
tcf(c_40235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39837,c_1208]) ).
tcf(c_40236,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_1345]) ).
tcf(c_40237,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_1284]) ).
tcf(c_40238,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39837,c_994]) ).
tcf(c_40239,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X2,sK1))
| ~ subset(sK1,sK4)
| ~ member(X0,sK4)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39837,c_1094]) ).
tcf(c_40240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),X0)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39837,c_3116]) ).
tcf(c_40241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39837,c_3115]) ).
tcf(c_40243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39837,c_1914]) ).
tcf(c_40245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39837,c_1579]) ).
tcf(c_40247,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),sK1)
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39837,c_1209]) ).
tcf(c_40544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(X2,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_12201]) ).
tcf(c_40545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_10326]) ).
tcf(c_40546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39838,c_1913]) ).
tcf(c_40547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_7220]) ).
tcf(c_40548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_6977]) ).
tcf(c_40549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39838,c_1578]) ).
tcf(c_40550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_2293]) ).
tcf(c_40551,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_2222]) ).
tcf(c_40552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39838,c_1208]) ).
tcf(c_40553,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_1345]) ).
tcf(c_40554,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_1284]) ).
tcf(c_40555,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39838,c_994]) ).
tcf(c_40556,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X2,sK1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK4)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39838,c_1094]) ).
tcf(c_40557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39838,c_3116]) ).
tcf(c_40558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39838,c_3115]) ).
tcf(c_40560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39838,c_1914]) ).
tcf(c_40562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39838,c_1579]) ).
tcf(c_40715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),intersection(image3(X0,X1,X2),X2))
| ~ subset(X3,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_12201]) ).
tcf(c_40716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_10326]) ).
tcf(c_40717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,image3(X0,X1,X2)),X5)
| member(sK5(intersection(X4,image3(X0,X1,X2)),X5),X3)
| ~ subset(intersection(image3(X0,X1,X2),X2),X3) ),
inference(superposition,[status(thm)],[c_34090,c_1913]) ).
tcf(c_40718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_7220]) ).
tcf(c_40719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_6977]) ).
tcf(c_40720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X4),X5)
| member(sK5(intersection(image3(X0,X1,X2),X4),X5),X3)
| ~ subset(intersection(image3(X0,X1,X2),X2),X3) ),
inference(superposition,[status(thm)],[c_34090,c_1578]) ).
tcf(c_40721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_2293]) ).
tcf(c_40722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_2222]) ).
tcf(c_40723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X4)
| member(sK5(image3(X0,X1,X2),X4),X3)
| ~ subset(intersection(image3(X0,X1,X2),X2),X3) ),
inference(superposition,[status(thm)],[c_34090,c_1208]) ).
tcf(c_40724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_1345]) ).
tcf(c_40725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(image3(X0,X1,X2),X2))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_1284]) ).
tcf(c_40726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(image3(X0,X1,X2),X2))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_994]) ).
tcf(c_40727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK5(image3(X0,X1,image3(X2,X3,X4)),X5),image3(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_34090,c_3116]) ).
tcf(c_40729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_34090,c_1915]) ).
tcf(c_40731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_1580]) ).
tcf(c_40733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK5(image3(X0,X1,X2),X3),image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34090,c_1210]) ).
tcf(c_40735,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X0),intersection(image3(sK0,X2,X1),X1))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK6(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_34090,c_1463]) ).
tcf(c_40922,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(X1,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39232,c_12201]) ).
tcf(c_40923,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_10326]) ).
tcf(c_40924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK4),X3)
| member(sK5(intersection(X2,sK4),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK4),X1) ),
inference(superposition,[status(thm)],[c_39232,c_1913]) ).
tcf(c_40925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_7220]) ).
tcf(c_40926,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_6977]) ).
tcf(c_40927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK4),X1) ),
inference(superposition,[status(thm)],[c_39232,c_1578]) ).
tcf(c_40928,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_2293]) ).
tcf(c_40929,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_2222]) ).
tcf(c_40930,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK4),X1) ),
inference(superposition,[status(thm)],[c_39232,c_1208]) ).
tcf(c_40931,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_1345]) ).
tcf(c_40932,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK4))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_1284]) ).
tcf(c_40933,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK4))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39232,c_994]) ).
tcf(c_41478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(X2,intersection(sK3,X0)))
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_12201]) ).
tcf(c_41479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_10326]) ).
tcf(c_41480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,intersection(sK3,X1)),X4)
| member(sK5(intersection(X3,intersection(sK3,X1)),X4),X2)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,intersection(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_39488,c_1913]) ).
tcf(c_41481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_7220]) ).
tcf(c_41482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_6977]) ).
tcf(c_41483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X1),X3),X4)
| member(sK5(intersection(intersection(sK3,X1),X3),X4),X2)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,intersection(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_39488,c_1578]) ).
tcf(c_41484,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_2293]) ).
tcf(c_41485,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_2222]) ).
tcf(c_41486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X1),X3)
| member(sK5(intersection(sK3,X1),X3),X2)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,intersection(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_39488,c_1208]) ).
tcf(c_41487,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_1345]) ).
tcf(c_41488,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,intersection(sK3,X0)))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_1284]) ).
tcf(c_41489,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,intersection(sK3,X0)))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39488,c_994]) ).
tcf(c_41490,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X2,intersection(sK3,X1)))
| ~ member(X0,sK3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39488,c_1094]) ).
tcf(c_41673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(X2,intersection(sK4,X0)))
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_12201]) ).
tcf(c_41674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_10326]) ).
tcf(c_41675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,intersection(sK4,X1)),X4)
| member(sK5(intersection(X3,intersection(sK4,X1)),X4),X2)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,intersection(sK4,X1)),X2) ),
inference(superposition,[status(thm)],[c_39817,c_1913]) ).
tcf(c_41676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_7220]) ).
tcf(c_41677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_6977]) ).
tcf(c_41678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X1),X3),X4)
| member(sK5(intersection(intersection(sK4,X1),X3),X4),X2)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,intersection(sK4,X1)),X2) ),
inference(superposition,[status(thm)],[c_39817,c_1578]) ).
tcf(c_41679,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_2293]) ).
tcf(c_41680,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_2222]) ).
tcf(c_41681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X1),X3)
| member(sK5(intersection(sK4,X1),X3),X2)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,intersection(sK4,X1)),X2) ),
inference(superposition,[status(thm)],[c_39817,c_1208]) ).
tcf(c_41682,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_1345]) ).
tcf(c_41683,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,intersection(sK4,X0)))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_1284]) ).
tcf(c_41684,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,intersection(sK4,X0)))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_39817,c_994]) ).
tcf(c_41685,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X2,intersection(sK4,X1)))
| ~ member(X0,sK4)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39817,c_1094]) ).
tcf(c_41828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ subset(X1,sK3)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1912,c_29991]) ).
tcf(c_41829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(X0,intersection(X1,sK3)) ),
inference(superposition,[status(thm)],[c_2010,c_29991]) ).
tcf(c_41830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(X0,intersection(sK3,X1)) ),
inference(superposition,[status(thm)],[c_2079,c_29991]) ).
tcf(c_41831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_2779,c_29991]) ).
tcf(c_41842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ subset(X2,sK3)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_20017,c_29991]) ).
tcf(c_41843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,intersection(X2,sK3))) ),
inference(superposition,[status(thm)],[c_20482,c_29991]) ).
tcf(c_41844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,intersection(sK3,X2))) ),
inference(superposition,[status(thm)],[c_21891,c_29991]) ).
tcf(c_41845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ subset(X1,sK3)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_22222,c_29991]) ).
tcf(c_41846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,intersection(intersection(X1,sK3),X2)) ),
inference(superposition,[status(thm)],[c_24618,c_29991]) ).
tcf(c_41847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,X3)
| ~ member(X0,intersection(intersection(sK3,X1),X2)) ),
inference(superposition,[status(thm)],[c_25178,c_29991]) ).
tcf(c_41980,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(intersection(sK3,X0),sK1))
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_12201]) ).
tcf(c_41981,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_10326]) ).
tcf(c_41982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(sK3,X0)),X3)
| member(sK5(intersection(X2,intersection(sK3,X0)),X3),X1)
| ~ subset(intersection(intersection(sK3,X0),sK1),X1) ),
inference(superposition,[status(thm)],[c_34123,c_1913]) ).
tcf(c_41983,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_7220]) ).
tcf(c_41984,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_6977]) ).
tcf(c_41985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK3,X0),X2),X3)
| member(sK5(intersection(intersection(sK3,X0),X2),X3),X1)
| ~ subset(intersection(intersection(sK3,X0),sK1),X1) ),
inference(superposition,[status(thm)],[c_34123,c_1578]) ).
tcf(c_41986,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_2293]) ).
tcf(c_41987,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_2222]) ).
tcf(c_41988,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X0),X2)
| member(sK5(intersection(sK3,X0),X2),X1)
| ~ subset(intersection(intersection(sK3,X0),sK1),X1) ),
inference(superposition,[status(thm)],[c_34123,c_1208]) ).
tcf(c_41989,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_1345]) ).
tcf(c_41990,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(sK3,X0),sK1))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_1284]) ).
tcf(c_41991,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(sK3,X0),sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_994]) ).
tcf(c_41992,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(intersection(sK3,X1),sK1))
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34123,c_1094]) ).
tcf(c_41993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK3,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK3,X2)),X3),intersection(sK3,X2)) ),
inference(superposition,[status(thm)],[c_34123,c_3116]) ).
tcf(c_41995,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK3,X1)),X2)
| member(sK5(intersection(X0,intersection(sK3,X1)),X2),intersection(sK3,X1)) ),
inference(superposition,[status(thm)],[c_34123,c_1915]) ).
tcf(c_41997,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK3,X0),X1),X2)
| member(sK5(intersection(intersection(sK3,X0),X1),X2),intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_1580]) ).
tcf(c_41999,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_34123,c_1210]) ).
tcf(c_42237,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(X0,sK1))
| ~ subset(sK1,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_12201]) ).
tcf(c_42238,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(X0,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_10326]) ).
tcf(c_42239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X1)
| ~ subset(X0,sK3)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_34125,c_1913]) ).
tcf(c_42240,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(X0,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_7220]) ).
tcf(c_42241,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(X0,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_6977]) ).
tcf(c_42242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X1)
| ~ subset(X0,sK3)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_34125,c_1578]) ).
tcf(c_42243,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(X0,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_2293]) ).
tcf(c_42244,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(X0,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_2222]) ).
tcf(c_42245,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X1)
| ~ subset(X0,sK3)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_34125,c_1208]) ).
tcf(c_42246,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_1345]) ).
tcf(c_42247,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_1284]) ).
tcf(c_42248,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_994]) ).
tcf(c_42249,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,intersection(intersection(X0,X1),sK1))
| ~ member(X2,X1)
| ~ member(X2,X0)
| ~ subset(intersection(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_34125,c_1094]) ).
tcf(c_42250,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_34125,c_996]) ).
tcf(c_42252,plain,
! [X0: $i] :
( subset(X0,intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_12200]) ).
tcf(c_42255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK5(image3(X1,X2,X0),X3),X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_3116]) ).
tcf(c_42257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| member(sK5(intersection(X1,X0),X2),X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34125,c_1915]) ).
tcf(c_42283,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(image3(sK0,X0,X1),sK1))
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK6(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_34125,c_1463]) ).
tcf(c_42554,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(intersection(X0,sK3),sK1))
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_12201]) ).
tcf(c_42555,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_10326]) ).
tcf(c_42556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(X0,sK3)),X3)
| member(sK5(intersection(X2,intersection(X0,sK3)),X3),X1)
| ~ subset(intersection(intersection(X0,sK3),sK1),X1) ),
inference(superposition,[status(thm)],[c_34128,c_1913]) ).
tcf(c_42557,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_7220]) ).
tcf(c_42558,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_6977]) ).
tcf(c_42559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,sK3),X2),X3)
| member(sK5(intersection(intersection(X0,sK3),X2),X3),X1)
| ~ subset(intersection(intersection(X0,sK3),sK1),X1) ),
inference(superposition,[status(thm)],[c_34128,c_1578]) ).
tcf(c_42560,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_2293]) ).
tcf(c_42561,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_2222]) ).
tcf(c_42562,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,sK3),X2)
| member(sK5(intersection(X0,sK3),X2),X1)
| ~ subset(intersection(intersection(X0,sK3),sK1),X1) ),
inference(superposition,[status(thm)],[c_34128,c_1208]) ).
tcf(c_42563,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_1345]) ).
tcf(c_42564,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(X0,sK3),sK1))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_1284]) ).
tcf(c_42565,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(intersection(X0,sK3),sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_994]) ).
tcf(c_42566,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(intersection(X1,sK3),sK1))
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_34128,c_1094]) ).
tcf(c_42567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK3)),X3)
| member(sK5(image3(X0,X1,intersection(X2,sK3)),X3),intersection(X2,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_3116]) ).
tcf(c_42569,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK3)),X2)
| member(sK5(intersection(X0,intersection(X1,sK3)),X2),intersection(X1,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_1915]) ).
tcf(c_42571,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK3),X1),X2)
| member(sK5(intersection(intersection(X0,sK3),X1),X2),intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_1580]) ).
tcf(c_42573,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_34128,c_1210]) ).
tcf(c_42717,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(sK1,sK1))
| ~ subset(sK1,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_12201]) ).
tcf(c_42718,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_10326]) ).
tcf(c_42719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X1),X3)
| member(sK5(intersection(X2,X1),X3),X0)
| ~ subset(X1,sK3)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34329,c_1913]) ).
tcf(c_42720,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_7220]) ).
tcf(c_42721,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_6977]) ).
tcf(c_42722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,X2),X3)
| member(sK5(intersection(X1,X2),X3),X0)
| ~ subset(X1,sK3)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34329,c_1578]) ).
tcf(c_42723,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_2293]) ).
tcf(c_42724,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,sK1))
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_2222]) ).
tcf(c_42725,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),X0)
| ~ subset(X1,sK3)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_34329,c_1208]) ).
tcf(c_42726,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_1345]) ).
tcf(c_42727,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_1284]) ).
tcf(c_42728,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34329,c_994]) ).
tcf(c_42729,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,intersection(sK1,sK1))
| ~ member(X2,X1)
| ~ member(X2,X0)
| ~ subset(intersection(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_34329,c_1094]) ).
tcf(c_42763,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,sK1))
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK6(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_34329,c_1463]) ).
tcf(c_42867,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ member(sK5(intersection(sK4,X0),intersection(sK1,X1)),X1) ),
inference(global_subsumption_just,[status(thm)],[c_33871,c_34740]) ).
tcf(c_42873,plain,
! [X0: $i] : subset(intersection(sK4,X0),intersection(sK1,intersection(sK4,X0))),
inference(superposition,[status(thm)],[c_55,c_42867]) ).
tcf(c_42874,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),intersection(sK1,intersection(X1,X2)))
| ~ member(sK5(intersection(sK4,X0),intersection(sK1,intersection(X1,X2))),X2)
| ~ member(sK5(intersection(sK4,X0),intersection(sK1,intersection(X1,X2))),X1) ),
inference(superposition,[status(thm)],[c_57,c_42867]) ).
tcf(c_42875,plain,
! [X0: $i] : subset(intersection(sK4,X0),intersection(sK1,sK4)),
inference(superposition,[status(thm)],[c_933,c_42867]) ).
tcf(c_42876,plain,
! [X0: $i] : subset(intersection(sK4,X0),intersection(sK1,X0)),
inference(superposition,[status(thm)],[c_941,c_42867]) ).
tcf(c_42877,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_8916,c_42867]) ).
tcf(c_42878,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ subset(intersection(sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_958,c_42867]) ).
tcf(c_42879,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(sK1,X0))
| ~ subset(sK4,X0) ),
inference(superposition,[status(thm)],[c_972,c_42867]) ).
tcf(c_42880,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),intersection(sK1,X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1166,c_42867]) ).
tcf(c_42881,plain,
! [X0: $i,X1: $i] : subset(intersection(sK4,intersection(X0,X1)),intersection(sK1,X1)),
inference(superposition,[status(thm)],[c_1167,c_42867]) ).
tcf(c_42882,plain,
! [X0: $i,X1: $i] : subset(intersection(sK4,intersection(X0,X1)),intersection(sK1,X0)),
inference(superposition,[status(thm)],[c_1168,c_42867]) ).
tcf(c_42883,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(sK4,image3(X0,X1,X2)),intersection(sK1,X2)),
inference(superposition,[status(thm)],[c_1171,c_42867]) ).
tcf(c_42884,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X2,X0)),intersection(sK1,X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2011,c_42867]) ).
tcf(c_42885,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(sK4,intersection(X0,intersection(X1,X2))),intersection(sK1,X2)),
inference(superposition,[status(thm)],[c_2012,c_42867]) ).
tcf(c_42886,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(sK4,intersection(X0,intersection(X1,X2))),intersection(sK1,X1)),
inference(superposition,[status(thm)],[c_2013,c_42867]) ).
tcf(c_42887,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X0,X2)),intersection(sK1,X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2080,c_42867]) ).
tcf(c_42888,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(sK4,intersection(intersection(X0,X1),X2)),intersection(sK1,X1)),
inference(superposition,[status(thm)],[c_2081,c_42867]) ).
tcf(c_42889,plain,
! [X0: $i,X1: $i,X2: $i] : subset(intersection(sK4,intersection(intersection(X0,X1),X2)),intersection(sK1,X0)),
inference(superposition,[status(thm)],[c_2082,c_42867]) ).
tcf(c_42890,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X1),intersection(sK1,X0))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_6875,c_42867]) ).
tcf(c_42892,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),intersection(sK1,sK1))
| ~ subset(intersection(sK4,X0),sK3) ),
inference(superposition,[status(thm)],[c_16434,c_42867]) ).
tcf(c_42893,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_10631,c_42867]) ).
tcf(c_42894,plain,
! [X0: $i] :
( subset(intersection(sK4,X0),intersection(sK1,sK1))
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_10630,c_42867]) ).
tcf(c_42895,plain,
subset(intersection(sK4,sK3),intersection(sK1,sK1)),
inference(superposition,[status(thm)],[c_16431,c_42867]) ).
tcf(c_43084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(sK1,X2))
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_12201]) ).
tcf(c_43085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_10326]) ).
tcf(c_43086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,X3)),X4)
| member(sK5(intersection(X2,intersection(sK4,X3)),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42890,c_1913]) ).
tcf(c_43087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_7220]) ).
tcf(c_43088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_6977]) ).
tcf(c_43089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,X2),X3),X4)
| member(sK5(intersection(intersection(sK4,X2),X3),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42890,c_1578]) ).
tcf(c_43090,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_2293]) ).
tcf(c_43091,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(sK1,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_2222]) ).
tcf(c_43092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42890,c_1208]) ).
tcf(c_43093,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_1345]) ).
tcf(c_43094,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_1284]) ).
tcf(c_43095,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X1))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42890,c_994]) ).
tcf(c_43096,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(sK1,X2))
| ~ member(X0,sK4)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_42890,c_1094]) ).
tcf(c_43097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK4,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK4,X3)),X4),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_42890,c_3116]) ).
tcf(c_43099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_42890,c_1915]) ).
tcf(c_43101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_42890,c_1580]) ).
tcf(c_43271,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_12201]) ).
tcf(c_43272,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_10326]) ).
tcf(c_43273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),X0)
| ~ subset(sK1,sK4)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42893,c_1913]) ).
tcf(c_43274,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_7220]) ).
tcf(c_43275,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_6977]) ).
tcf(c_43276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),X0)
| ~ subset(sK1,sK4)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42893,c_1578]) ).
tcf(c_43277,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_2293]) ).
tcf(c_43278,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_2222]) ).
tcf(c_43279,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(sK1,sK4)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42893,c_1208]) ).
tcf(c_43280,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_1345]) ).
tcf(c_43281,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_1284]) ).
tcf(c_43282,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42893,c_994]) ).
tcf(c_43283,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(sK1,sK1))
| ~ subset(sK1,sK4)
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_42893,c_1094]) ).
tcf(c_43440,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_12201]) ).
tcf(c_43441,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_10326]) ).
tcf(c_43442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),X0)
| ~ subset(sK1,sK3)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42894,c_1913]) ).
tcf(c_43443,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_7220]) ).
tcf(c_43444,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_6977]) ).
tcf(c_43445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),X0)
| ~ subset(sK1,sK3)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42894,c_1578]) ).
tcf(c_43446,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_2293]) ).
tcf(c_43447,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_2222]) ).
tcf(c_43448,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(sK1,sK3)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42894,c_1208]) ).
tcf(c_43449,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_1345]) ).
tcf(c_43450,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_1284]) ).
tcf(c_43451,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42894,c_994]) ).
tcf(c_43452,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(sK1,sK1))
| ~ subset(sK1,sK3)
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_42894,c_1094]) ).
tcf(c_43624,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_32217]) ).
tcf(c_43625,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_32217]) ).
tcf(c_43626,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_32217]) ).
tcf(c_43627,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_32217]) ).
tcf(c_43628,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_32217]) ).
tcf(c_43629,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_32217]) ).
tcf(c_43631,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_32217]) ).
tcf(c_43632,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_32217]) ).
tcf(c_43633,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_32217]) ).
tcf(c_43634,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_32217]) ).
tcf(c_43635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_32217]) ).
tcf(c_43636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_32217]) ).
tcf(c_43638,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_32217]) ).
tcf(c_43639,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_32217]) ).
tcf(c_43640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_32217]) ).
tcf(c_43641,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_32217]) ).
tcf(c_43642,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_32217]) ).
tcf(c_43643,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_32217]) ).
tcf(c_43644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_32217]) ).
tcf(c_43645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_32217]) ).
tcf(c_43646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_32217]) ).
tcf(c_43647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_32217]) ).
tcf(c_43648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_32217]) ).
tcf(c_43649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_32217]) ).
tcf(c_43650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_32217]) ).
tcf(c_43651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_32217]) ).
tcf(c_43652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_32217]) ).
tcf(c_43653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_32217]) ).
tcf(c_43654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_32217]) ).
tcf(c_43655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_32217]) ).
tcf(c_43656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_32217]) ).
tcf(c_43657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_32217]) ).
tcf(c_43658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_32217]) ).
tcf(c_43659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_32217]) ).
tcf(c_43660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_32217]) ).
tcf(c_43661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_32217]) ).
tcf(c_43662,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_32217]) ).
tcf(c_43663,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_32217]) ).
tcf(c_43664,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_32217]) ).
tcf(c_43665,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_32217]) ).
tcf(c_43666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_32217]) ).
tcf(c_43667,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_32217]) ).
tcf(c_43668,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_32217]) ).
tcf(c_43669,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_32217]) ).
tcf(c_43670,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_32217]) ).
tcf(c_43671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_32217]) ).
tcf(c_43672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_32217]) ).
tcf(c_43673,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_32217]) ).
tcf(c_43674,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_32217]) ).
tcf(c_43675,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_32217]) ).
tcf(c_43676,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_32217]) ).
tcf(c_43677,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_32217]) ).
tcf(c_43680,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_32217]) ).
tcf(c_43681,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_32217]) ).
tcf(c_43740,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43674,c_927]) ).
tcf(c_44166,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_32612]) ).
tcf(c_44167,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_32612]) ).
tcf(c_44168,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_32612]) ).
tcf(c_44169,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_32612]) ).
tcf(c_44170,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_32612]) ).
tcf(c_44171,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_32612]) ).
tcf(c_44172,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_32612]) ).
tcf(c_44173,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_32612]) ).
tcf(c_44174,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_32612]) ).
tcf(c_44175,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_32612]) ).
tcf(c_44176,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_32612]) ).
tcf(c_44177,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_32612]) ).
tcf(c_44178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_32612]) ).
tcf(c_44179,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_32612]) ).
tcf(c_44180,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_32612]) ).
tcf(c_44181,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_32612]) ).
tcf(c_44182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_32612]) ).
tcf(c_44183,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_32612]) ).
tcf(c_44184,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_32612]) ).
tcf(c_44185,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_32612]) ).
tcf(c_44186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_32612]) ).
tcf(c_44187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_32612]) ).
tcf(c_44188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_32612]) ).
tcf(c_44189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_32612]) ).
tcf(c_44190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_32612]) ).
tcf(c_44191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_32612]) ).
tcf(c_44192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_32612]) ).
tcf(c_44193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_32612]) ).
tcf(c_44194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_32612]) ).
tcf(c_44195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_32612]) ).
tcf(c_44196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_32612]) ).
tcf(c_44197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_32612]) ).
tcf(c_44198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_32612]) ).
tcf(c_44199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_32612]) ).
tcf(c_44200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_32612]) ).
tcf(c_44201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_32612]) ).
tcf(c_44202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_32612]) ).
tcf(c_44203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_32612]) ).
tcf(c_44204,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_32612]) ).
tcf(c_44205,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_32612]) ).
tcf(c_44206,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_32612]) ).
tcf(c_44207,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_32612]) ).
tcf(c_44208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_32612]) ).
tcf(c_44209,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_32612]) ).
tcf(c_44210,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_32612]) ).
tcf(c_44211,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_32612]) ).
tcf(c_44212,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_32612]) ).
tcf(c_44213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_32612]) ).
tcf(c_44214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_32612]) ).
tcf(c_44215,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_32612]) ).
tcf(c_44216,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_32612]) ).
tcf(c_44217,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_32612]) ).
tcf(c_44218,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_32612]) ).
tcf(c_44219,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_32612]) ).
tcf(c_44222,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_32612]) ).
tcf(c_44223,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_32612]) ).
tcf(c_44286,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44216,c_927]) ).
tcf(c_44603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(X0,X2))
| ~ subset(sK1,X2)
| ~ subset(sK1,X0)
| ~ subset(X1,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_12201]) ).
tcf(c_44604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X0,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_10326]) ).
tcf(c_44605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,X0),X4)
| member(sK5(intersection(X3,X0),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34091,c_1913]) ).
tcf(c_44606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X0,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_7220]) ).
tcf(c_44607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X0,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_6977]) ).
tcf(c_44608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X3),X4)
| member(sK5(intersection(X0,X3),X4),X2)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34091,c_1578]) ).
tcf(c_44609,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X0,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_2293]) ).
tcf(c_44610,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X0,X1))
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_2222]) ).
tcf(c_44611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK5(X0,X3),X2)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3)
| ~ subset(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_34091,c_1208]) ).
tcf(c_44612,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X0,X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1345]) ).
tcf(c_44613,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X0,X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1284]) ).
tcf(c_44614,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X0,X1))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_994]) ).
tcf(c_44615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,intersection(intersection(X0,X1),X3))
| ~ subset(sK1,X3)
| ~ member(X2,X1)
| ~ member(X2,X0)
| ~ subset(intersection(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1094]) ).
tcf(c_44616,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK2)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_996]) ).
tcf(c_44618,plain,
! [X0: $i,X1: $i] :
( subset(X0,intersection(sK1,X1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_12200]) ).
tcf(c_44619,plain,
! [X0: $i] :
( subset(sK4,intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_2292]) ).
tcf(c_44620,plain,
! [X0: $i] :
( subset(sK3,intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_2221]) ).
tcf(c_44621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK5(image3(X2,X3,X0),X4),X0)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_3116]) ).
tcf(c_44623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,X0),X3)
| member(sK5(intersection(X2,X0),X3),X0)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1915]) ).
tcf(c_44625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),X0)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1580]) ).
tcf(c_44627,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),X0)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1210]) ).
tcf(c_44629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_34091,c_12209]) ).
tcf(c_44631,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_10332]) ).
tcf(c_44635,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_6979]) ).
tcf(c_44637,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34091,c_2511]) ).
tcf(c_44638,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_2508]) ).
tcf(c_44639,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34091,c_2411]) ).
tcf(c_44640,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_2408]) ).
tcf(c_44641,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_2295]) ).
tcf(c_44643,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_2224]) ).
tcf(c_44645,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_1347]) ).
tcf(c_44647,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),sK1)
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_34091,c_1286]) ).
tcf(c_44649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X2),intersection(image3(sK0,X0,X1),X3))
| ~ member(X2,sK1)
| ~ subset(sK1,X3)
| ~ member(X2,X0)
| ~ member(sK6(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_34091,c_1463]) ).
tcf(c_44650,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34091,c_2513]) ).
tcf(c_44651,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34091,c_2512]) ).
tcf(c_44652,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X0)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34091,c_2413]) ).
tcf(c_44653,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,sK3)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34091,c_2412]) ).
tcf(c_44656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34091,c_3046]) ).
tcf(c_44657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),X2)
| ~ subset(sK1,sK3)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_34091,c_3045]) ).
tcf(c_45013,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(sK1,intersection(sK4,X0)))
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_12201]) ).
tcf(c_45014,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_10326]) ).
tcf(c_45015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(sK4,X0)),X3)
| member(sK5(intersection(X2,intersection(sK4,X0)),X3),X1)
| ~ subset(intersection(sK1,intersection(sK4,X0)),X1) ),
inference(superposition,[status(thm)],[c_42873,c_1913]) ).
tcf(c_45016,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_7220]) ).
tcf(c_45017,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_6977]) ).
tcf(c_45018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X0),X2),X3)
| member(sK5(intersection(intersection(sK4,X0),X2),X3),X1)
| ~ subset(intersection(sK1,intersection(sK4,X0)),X1) ),
inference(superposition,[status(thm)],[c_42873,c_1578]) ).
tcf(c_45019,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_2293]) ).
tcf(c_45020,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_2222]) ).
tcf(c_45021,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X2)
| member(sK5(intersection(sK4,X0),X2),X1)
| ~ subset(intersection(sK1,intersection(sK4,X0)),X1) ),
inference(superposition,[status(thm)],[c_42873,c_1208]) ).
tcf(c_45022,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_1345]) ).
tcf(c_45023,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,intersection(sK4,X0)))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_1284]) ).
tcf(c_45024,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,intersection(sK4,X0)))
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42873,c_994]) ).
tcf(c_45025,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(sK1,intersection(sK4,X1)))
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_42873,c_1094]) ).
tcf(c_45195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK1,X3),X4)
| member(sK7(X0,X1,sK5(intersection(sK1,X3),X4)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1582]) ).
tcf(c_45204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_2779,c_1582]) ).
tcf(c_45205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_2985,c_1582]) ).
tcf(c_45206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X4,X5,X0),X6),X7)
| member(sK7(X1,X2,sK5(intersection(image3(X4,X5,X0),X6),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_1582]) ).
tcf(c_45207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7)
| member(sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_3324,c_1582]) ).
tcf(c_45208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7)
| member(sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_3413,c_1582]) ).
tcf(c_45209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)
| member(sK7(X0,X1,sK5(intersection(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_4757,c_1582]) ).
tcf(c_45210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK3,X3),X4),X5)
| member(sK7(X0,X1,sK5(intersection(intersection(sK3,X3),X4),X5)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_1582]) ).
tcf(c_45211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK4,X3),X4),X5)
| member(sK7(X0,X1,sK5(intersection(intersection(sK4,X3),X4),X5)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_1582]) ).
tcf(c_45212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X3,sK3),X4),X5)
| member(sK7(X0,X1,sK5(intersection(intersection(X3,sK3),X4),X5)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_1582]) ).
tcf(c_45213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X4,X0),X5),X6),X7)
| member(sK7(X1,X2,sK5(intersection(intersection(intersection(X4,X0),X5),X6),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_1582]) ).
tcf(c_45214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(X3,image3(X0,X1,X4))),X5),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_15036,c_1582]) ).
tcf(c_45215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(image3(X0,X1,X3),X4)),X5),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_15347,c_1582]) ).
tcf(c_45216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,X4),X5),X6),X7)
| member(sK7(X1,X2,sK5(intersection(intersection(intersection(X0,X4),X5),X6),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_1582]) ).
tcf(c_45217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(X2,image3(X0,X1,X3)),X4),X5),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_17907,c_1582]) ).
tcf(c_45218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_18284,c_1582]) ).
tcf(c_45219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X4,intersection(X5,X0)),X6),X7)
| member(sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X5,X0)),X6),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_1582]) ).
tcf(c_45220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X0,X1,X5)))),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_20482,c_1582]) ).
tcf(c_45221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(image3(X0,X1,X4),X5))),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_21891,c_1582]) ).
tcf(c_45222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X4,intersection(X0,X5)),X6),X7)
| member(sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X0,X5)),X6),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_1582]) ).
tcf(c_45223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(X3,image3(X0,X1,X4)),X5)),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_24618,c_1582]) ).
tcf(c_45224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(image3(X0,X1,X3),X4),X5)),X6),X7)),X1) ),
inference(superposition,[status(thm)],[c_25178,c_1582]) ).
tcf(c_45393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X3),
inference(superposition,[status(thm)],[c_1645,c_54]) ).
tcf(c_45395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK1)
| ~ subset(X3,sK3)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1645,c_13224]) ).
tcf(c_45396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK3) ),
inference(superposition,[status(thm)],[c_1645,c_12924]) ).
tcf(c_45397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_1645,c_11170]) ).
tcf(c_45398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_1645,c_10956]) ).
tcf(c_45399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_1645,c_7357]) ).
tcf(c_45400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),X5),sK3) ),
inference(superposition,[status(thm)],[c_1645,c_7083]) ).
tcf(c_45406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_32612]) ).
tcf(c_45407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_32217]) ).
tcf(c_45408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_31666]) ).
tcf(c_45409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_31133]) ).
tcf(c_45410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_30462]) ).
tcf(c_45411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_27162]) ).
tcf(c_45412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_26639]) ).
tcf(c_45413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_23938]) ).
tcf(c_45414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_23466]) ).
tcf(c_45415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_23133]) ).
tcf(c_45416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_22748]) ).
tcf(c_45417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_21378]) ).
tcf(c_45418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_20984]) ).
tcf(c_45419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_17471]) ).
tcf(c_45420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_17052]) ).
tcf(c_45421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_14454]) ).
tcf(c_45422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_6414]) ).
tcf(c_45423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_6070]) ).
tcf(c_45424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_5860]) ).
tcf(c_45425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_5547]) ).
tcf(c_45426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_5271]) ).
tcf(c_45427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_4987]) ).
tcf(c_45428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_4986]) ).
tcf(c_45429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))) = sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)) ) ),
inference(superposition,[status(thm)],[c_1645,c_4945]) ).
tcf(c_45430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),intersection(X3,X5))
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,X3)),X4),intersection(X3,X5)),X5) ),
inference(superposition,[status(thm)],[c_1645,c_1093]) ).
tcf(c_45431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4)
| member(sK5(intersection(intersection(X0,image3(X1,X2,sK3)),X3),X4),sK1) ),
inference(superposition,[status(thm)],[c_1645,c_15799]) ).
tcf(c_45433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK4)),X3),X4)
| member(sK5(intersection(intersection(X0,image3(X1,X2,sK4)),X3),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_11950]) ).
tcf(c_45434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK4)),X3),X4)
| member(sK5(intersection(intersection(X0,image3(X1,X2,sK4)),X3),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_11643]) ).
tcf(c_45435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X1,image3(X2,X3,sK4)),X4),X5)
| member(sK5(intersection(intersection(X1,image3(X2,X3,sK4)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1645,c_7948]) ).
tcf(c_45436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(intersection(X0,image3(X1,X2,X3)),X4),intersection(intersection(intersection(X0,image3(X1,X2,X3)),X4),X3)),
inference(superposition,[status(thm)],[c_1645,c_33831]) ).
tcf(c_45437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1645,c_13080]) ).
tcf(c_45438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(sK3,X3))),X4),X5)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(sK3,X3))),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(sK3,X3))),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1645,c_13482]) ).
tcf(c_45439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,sK3))),X5),X6)
| member(sK5(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,sK3))),X5),X6),sK1)
| ~ member(sK5(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,sK3))),X5),X6),X7) ),
inference(superposition,[status(thm)],[c_1645,c_13755]) ).
tcf(c_45730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X3)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_12201]) ).
tcf(c_45731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_10326]) ).
tcf(c_45732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(X3,image3(X4,X5,X0)),X6)),X7)
| member(sK5(intersection(X2,intersection(intersection(X3,image3(X4,X5,X0)),X6)),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_45393,c_1913]) ).
tcf(c_45733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_7220]) ).
tcf(c_45734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_6977]) ).
tcf(c_45735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X2,image3(X3,X4,X0)),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X2,image3(X3,X4,X0)),X5),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_45393,c_1578]) ).
tcf(c_45736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_2293]) ).
tcf(c_45737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_2222]) ).
tcf(c_45739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_1345]) ).
tcf(c_45740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_1284]) ).
tcf(c_45741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(intersection(X0,image3(X1,X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_45393,c_994]) ).
tcf(c_45742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,X4)
| ~ member(X0,X5)
| ~ member(X0,intersection(X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_45393,c_1094]) ).
tcf(c_45743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,intersection(X5,X6))),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,intersection(X5,X6))),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_45393,c_3116]) ).
tcf(c_45744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,intersection(X5,X6))),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,intersection(X5,X6))),X7)),X8),X6) ),
inference(superposition,[status(thm)],[c_45393,c_3115]) ).
tcf(c_45745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(X1,image3(X2,X3,intersection(X4,X5))),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(X1,image3(X2,X3,intersection(X4,X5))),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_45393,c_1915]) ).
tcf(c_45746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(X1,image3(X2,X3,intersection(X4,X5))),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(X1,image3(X2,X3,intersection(X4,X5))),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_45393,c_1914]) ).
tcf(c_45747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_45393,c_1580]) ).
tcf(c_45748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_45393,c_1579]) ).
tcf(c_45751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_45393,c_1582]) ).
tcf(c_45752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,image3(X5,X6,X7))),X8)),X9)
| member(sK5(image3(X0,X1,intersection(intersection(X2,image3(X3,X4,image3(X5,X6,X7))),X8)),X9),X7) ),
inference(superposition,[status(thm)],[c_45393,c_3119]) ).
tcf(c_45753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9),X10)),sK5(intersection(image3(X2,X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9),X10)) ),
inference(superposition,[status(thm)],[c_45393,c_3176]) ).
tcf(c_45754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(X5,image3(X6,X7,image3(X0,X1,X8))),X9))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,image3(X6,X7,image3(X0,X1,X8))),X9))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(X5,image3(X6,X7,image3(X0,X1,X8))),X9))),X10)) ),
inference(superposition,[status(thm)],[c_45393,c_3175]) ).
tcf(c_45755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9)),sK5(image3(X2,X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8)),X9)) ),
inference(superposition,[status(thm)],[c_45393,c_3117]) ).
tcf(c_45756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8))),X9)),sK5(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X5,X6,image3(X0,X1,X7))),X8))),X9)) ),
inference(superposition,[status(thm)],[c_45393,c_2952]) ).
tcf(c_45757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)),X9)),sK5(intersection(X2,intersection(intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7),X8)),X9)) ),
inference(superposition,[status(thm)],[c_45393,c_2949]) ).
tcf(c_45758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8),X9)),sK5(intersection(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_45393,c_2647]) ).
tcf(c_45759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8),X9)),sK5(intersection(intersection(intersection(intersection(X2,image3(X3,X4,image3(X0,X1,X5))),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_45393,c_2644]) ).
tcf(c_45760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(intersection(X1,image3(X2,X3,image3(X4,X5,X6))),X7)),X8)
| member(sK5(intersection(X0,intersection(intersection(X1,image3(X2,X3,image3(X4,X5,X6))),X7)),X8),X6) ),
inference(superposition,[status(thm)],[c_45393,c_1918]) ).
tcf(c_45761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,X5))),X6),X7),X8)
| member(sK5(intersection(intersection(intersection(X0,image3(X1,X2,image3(X3,X4,X5))),X6),X7),X8),X5) ),
inference(superposition,[status(thm)],[c_45393,c_1583]) ).
tcf(c_45767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(X0,image3(X1,X2,sK3)),X3),sK1),
inference(superposition,[status(thm)],[c_45393,c_12385]) ).
tcf(c_45768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,sK1)
| ~ member(X0,X5)
| ~ member(X0,X4)
| ~ member(X0,intersection(X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_45393,c_29991]) ).
tcf(c_46192,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(sK1,sK4))
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_12201]) ).
tcf(c_46193,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,sK4))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_10326]) ).
tcf(c_46194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK4,X2)),X3)
| member(sK5(intersection(X1,intersection(sK4,X2)),X3),X0)
| ~ subset(intersection(sK1,sK4),X0) ),
inference(superposition,[status(thm)],[c_42875,c_1913]) ).
tcf(c_46195,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,sK4))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_7220]) ).
tcf(c_46196,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,sK4))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_6977]) ).
tcf(c_46197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X1),X2),X3)
| member(sK5(intersection(intersection(sK4,X1),X2),X3),X0)
| ~ subset(intersection(sK1,sK4),X0) ),
inference(superposition,[status(thm)],[c_42875,c_1578]) ).
tcf(c_46198,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,sK4))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_2293]) ).
tcf(c_46199,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,sK4))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_2222]) ).
tcf(c_46200,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),X0)
| ~ subset(intersection(sK1,sK4),X0) ),
inference(superposition,[status(thm)],[c_42875,c_1208]) ).
tcf(c_46201,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK4))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_1345]) ).
tcf(c_46202,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK4))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_1284]) ).
tcf(c_46203,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,sK4))
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42875,c_994]) ).
tcf(c_46204,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(sK1,sK4))
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_42875,c_1094]) ).
tcf(c_46206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK4,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK4,X2)),X3),sK4) ),
inference(superposition,[status(thm)],[c_42875,c_3115]) ).
tcf(c_46208,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK4,X1)),X2)
| member(sK5(intersection(X0,intersection(sK4,X1)),X2),sK4) ),
inference(superposition,[status(thm)],[c_42875,c_1914]) ).
tcf(c_46210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,X0),X1),X2)
| member(sK5(intersection(intersection(sK4,X0),X1),X2),sK4) ),
inference(superposition,[status(thm)],[c_42875,c_1579]) ).
tcf(c_46464,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK5(X1,X2),intersection(sK1,X0))
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_12201]) ).
tcf(c_46465,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_10326]) ).
tcf(c_46466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,intersection(sK4,X0)),X3)
| member(sK5(intersection(X2,intersection(sK4,X0)),X3),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42876,c_1913]) ).
tcf(c_46467,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_7220]) ).
tcf(c_46468,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_6977]) ).
tcf(c_46469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,X0),X2),X3)
| member(sK5(intersection(intersection(sK4,X0),X2),X3),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42876,c_1578]) ).
tcf(c_46470,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_2293]) ).
tcf(c_46471,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_2222]) ).
tcf(c_46472,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X0),X2)
| member(sK5(intersection(sK4,X0),X2),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42876,c_1208]) ).
tcf(c_46473,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_1345]) ).
tcf(c_46474,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_1284]) ).
tcf(c_46475,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ member(X1,sK1)
| ~ subset(sK2,intersection(sK4,X0)) ),
inference(superposition,[status(thm)],[c_42876,c_994]) ).
tcf(c_46476,plain,
! [X0: $i,X1: $i] :
( member(X0,intersection(sK1,X1))
| ~ member(X0,sK4)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_42876,c_1094]) ).
tcf(c_46478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK4,X2)),X3)
| member(sK5(image3(X0,X1,intersection(sK4,X2)),X3),X2) ),
inference(superposition,[status(thm)],[c_42876,c_3115]) ).
tcf(c_46480,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK4,X1)),X2)
| member(sK5(intersection(X0,intersection(sK4,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_42876,c_1914]) ).
tcf(c_46482,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,X0),X1),X2)
| member(sK5(intersection(intersection(sK4,X0),X1),X2),X0) ),
inference(superposition,[status(thm)],[c_42876,c_1579]) ).
tcf(c_46484,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),X0) ),
inference(superposition,[status(thm)],[c_42876,c_1209]) ).
tcf(c_46807,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK5(X0,X1),intersection(sK1,sK1))
| ~ subset(X0,sK3)
| ~ subset(sK1,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_12201]) ).
tcf(c_46808,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| member(sK5(intersection(X0,sK3),X1),intersection(sK1,sK1))
| ~ subset(sK1,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_10326]) ).
tcf(c_46809,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,intersection(sK4,sK3)),X2)
| member(sK5(intersection(X1,intersection(sK4,sK3)),X2),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42895,c_1913]) ).
tcf(c_46810,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| member(sK5(intersection(sK4,X0),X1),intersection(sK1,sK1))
| ~ subset(sK1,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_7220]) ).
tcf(c_46811,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| member(sK5(intersection(sK3,X0),X1),intersection(sK1,sK1))
| ~ subset(sK1,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_6977]) ).
tcf(c_46812,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK4,sK3),X1),X2)
| member(sK5(intersection(intersection(sK4,sK3),X1),X2),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42895,c_1578]) ).
tcf(c_46813,plain,
! [X0: $i] :
( subset(sK4,X0)
| member(sK5(sK4,X0),intersection(sK1,sK1))
| ~ subset(sK1,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_2293]) ).
tcf(c_46814,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK5(sK3,X0),intersection(sK1,sK1))
| ~ subset(sK1,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_2222]) ).
tcf(c_46815,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,sK3),X1)
| member(sK5(intersection(sK4,sK3),X1),X0)
| ~ subset(intersection(sK1,sK1),X0) ),
inference(superposition,[status(thm)],[c_42895,c_1208]) ).
tcf(c_46818,plain,
! [X0: $i] :
( member(sK6(sK0,sK2,X0),intersection(sK1,sK1))
| ~ member(X0,sK1)
| ~ subset(sK2,intersection(sK4,sK3)) ),
inference(superposition,[status(thm)],[c_42895,c_994]) ).
tcf(c_46819,plain,
! [X0: $i] :
( member(X0,intersection(sK1,sK1))
| ~ member(X0,sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_42895,c_1094]) ).
tcf(c_46820,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,intersection(sK4,sK3)),X2)
| member(sK5(image3(X0,X1,intersection(sK4,sK3)),X2),sK1) ),
inference(superposition,[status(thm)],[c_42895,c_3116]) ).
tcf(c_46822,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,intersection(sK4,sK3)),X1)
| member(sK5(intersection(X0,intersection(sK4,sK3)),X1),sK1) ),
inference(superposition,[status(thm)],[c_42895,c_1915]) ).
tcf(c_46824,plain,
! [X0: $i,X1: $i] :
( subset(intersection(intersection(sK4,sK3),X0),X1)
| member(sK5(intersection(intersection(sK4,sK3),X0),X1),sK1) ),
inference(superposition,[status(thm)],[c_42895,c_1580]) ).
tcf(c_46826,plain,
! [X0: $i] :
( subset(intersection(sK4,sK3),X0)
| member(sK5(intersection(sK4,sK3),X0),sK1) ),
inference(superposition,[status(thm)],[c_42895,c_1210]) ).
tcf(c_46956,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(X1,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_36744,c_12201]) ).
tcf(c_46957,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_10326]) ).
tcf(c_46958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_36744,c_1913]) ).
tcf(c_46959,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_7220]) ).
tcf(c_46960,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_6977]) ).
tcf(c_46961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_36744,c_1578]) ).
tcf(c_46962,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_2293]) ).
tcf(c_46963,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_2222]) ).
tcf(c_46964,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_36744,c_1208]) ).
tcf(c_46965,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_1345]) ).
tcf(c_46966,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_1284]) ).
tcf(c_46967,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_994]) ).
tcf(c_46969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK5(image3(X1,X2,sK3),X3),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_36744,c_3115]) ).
tcf(c_47146,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_43638]) ).
tcf(c_47147,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_43638]) ).
tcf(c_47148,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_43638]) ).
tcf(c_47149,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_43638]) ).
tcf(c_47150,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_43638]) ).
tcf(c_47151,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_43638]) ).
tcf(c_47153,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_43638]) ).
tcf(c_47154,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_43638]) ).
tcf(c_47155,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_43638]) ).
tcf(c_47156,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_43638]) ).
tcf(c_47157,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_43638]) ).
tcf(c_47158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_43638]) ).
tcf(c_47160,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_43638]) ).
tcf(c_47161,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_43638]) ).
tcf(c_47162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_43638]) ).
tcf(c_47163,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_43638]) ).
tcf(c_47164,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_43638]) ).
tcf(c_47165,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_43638]) ).
tcf(c_47166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_43638]) ).
tcf(c_47167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_43638]) ).
tcf(c_47168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_43638]) ).
tcf(c_47169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_43638]) ).
tcf(c_47170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_43638]) ).
tcf(c_47171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_43638]) ).
tcf(c_47172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_43638]) ).
tcf(c_47173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_43638]) ).
tcf(c_47174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_43638]) ).
tcf(c_47175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_43638]) ).
tcf(c_47176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_43638]) ).
tcf(c_47177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_43638]) ).
tcf(c_47178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_43638]) ).
tcf(c_47179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_43638]) ).
tcf(c_47180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_43638]) ).
tcf(c_47181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_43638]) ).
tcf(c_47182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_43638]) ).
tcf(c_47183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_43638]) ).
tcf(c_47184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_43638]) ).
tcf(c_47185,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_43638]) ).
tcf(c_47186,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_43638]) ).
tcf(c_47187,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_43638]) ).
tcf(c_47188,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_43638]) ).
tcf(c_47189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_43638]) ).
tcf(c_47190,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_43638]) ).
tcf(c_47191,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_43638]) ).
tcf(c_47192,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_43638]) ).
tcf(c_47193,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_43638]) ).
tcf(c_47194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_43638]) ).
tcf(c_47195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_43638]) ).
tcf(c_47196,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_43638]) ).
tcf(c_47197,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_43638]) ).
tcf(c_47198,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_43638]) ).
tcf(c_47199,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_43638]) ).
tcf(c_47200,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_43638]) ).
tcf(c_47203,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_43638]) ).
tcf(c_47204,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_43638]) ).
tcf(c_47263,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47197,c_927]) ).
tcf(c_47482,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_44179]) ).
tcf(c_47483,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_44179]) ).
tcf(c_47484,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_44179]) ).
tcf(c_47485,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_44179]) ).
tcf(c_47486,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_44179]) ).
tcf(c_47487,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_44179]) ).
tcf(c_47488,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_44179]) ).
tcf(c_47489,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_44179]) ).
tcf(c_47490,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_44179]) ).
tcf(c_47491,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_44179]) ).
tcf(c_47492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_44179]) ).
tcf(c_47493,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_44179]) ).
tcf(c_47494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_44179]) ).
tcf(c_47495,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_44179]) ).
tcf(c_47496,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_44179]) ).
tcf(c_47497,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_44179]) ).
tcf(c_47498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_44179]) ).
tcf(c_47499,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_44179]) ).
tcf(c_47500,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_44179]) ).
tcf(c_47501,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_44179]) ).
tcf(c_47502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_44179]) ).
tcf(c_47503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_44179]) ).
tcf(c_47504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_44179]) ).
tcf(c_47505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_44179]) ).
tcf(c_47506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_44179]) ).
tcf(c_47507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_44179]) ).
tcf(c_47508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_44179]) ).
tcf(c_47509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_44179]) ).
tcf(c_47510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_44179]) ).
tcf(c_47511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_44179]) ).
tcf(c_47512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_44179]) ).
tcf(c_47513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_44179]) ).
tcf(c_47514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_44179]) ).
tcf(c_47515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_44179]) ).
tcf(c_47516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_44179]) ).
tcf(c_47517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_44179]) ).
tcf(c_47518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_44179]) ).
tcf(c_47519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_44179]) ).
tcf(c_47520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_44179]) ).
tcf(c_47521,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_44179]) ).
tcf(c_47522,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_44179]) ).
tcf(c_47523,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_44179]) ).
tcf(c_47524,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_44179]) ).
tcf(c_47525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_44179]) ).
tcf(c_47526,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_44179]) ).
tcf(c_47527,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_44179]) ).
tcf(c_47528,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_44179]) ).
tcf(c_47529,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_44179]) ).
tcf(c_47530,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_44179]) ).
tcf(c_47531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_44179]) ).
tcf(c_47532,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_44179]) ).
tcf(c_47533,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_44179]) ).
tcf(c_47534,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_44179]) ).
tcf(c_47535,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_44179]) ).
tcf(c_47536,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_44179]) ).
tcf(c_47539,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_44179]) ).
tcf(c_47540,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_44179]) ).
tcf(c_47603,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47533,c_927]) ).
tcf(c_48088,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_47160]) ).
tcf(c_48089,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_47160]) ).
tcf(c_48090,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_47160]) ).
tcf(c_48091,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_47160]) ).
tcf(c_48092,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_47160]) ).
tcf(c_48093,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_47160]) ).
tcf(c_48095,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_47160]) ).
tcf(c_48096,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_47160]) ).
tcf(c_48097,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_47160]) ).
tcf(c_48098,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_47160]) ).
tcf(c_48099,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_47160]) ).
tcf(c_48100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_47160]) ).
tcf(c_48102,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_47160]) ).
tcf(c_48103,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_47160]) ).
tcf(c_48104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_47160]) ).
tcf(c_48105,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_47160]) ).
tcf(c_48106,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_47160]) ).
tcf(c_48107,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_47160]) ).
tcf(c_48108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_47160]) ).
tcf(c_48109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_47160]) ).
tcf(c_48110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_47160]) ).
tcf(c_48111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_47160]) ).
tcf(c_48112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_47160]) ).
tcf(c_48113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_47160]) ).
tcf(c_48114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_47160]) ).
tcf(c_48115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_47160]) ).
tcf(c_48116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_47160]) ).
tcf(c_48117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_47160]) ).
tcf(c_48118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_47160]) ).
tcf(c_48119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_47160]) ).
tcf(c_48120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_47160]) ).
tcf(c_48121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_47160]) ).
tcf(c_48122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_47160]) ).
tcf(c_48123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_47160]) ).
tcf(c_48124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_47160]) ).
tcf(c_48125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_47160]) ).
tcf(c_48126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_47160]) ).
tcf(c_48127,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_47160]) ).
tcf(c_48128,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_47160]) ).
tcf(c_48129,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_47160]) ).
tcf(c_48130,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_47160]) ).
tcf(c_48131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_47160]) ).
tcf(c_48132,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_47160]) ).
tcf(c_48133,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_47160]) ).
tcf(c_48134,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_47160]) ).
tcf(c_48135,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_47160]) ).
tcf(c_48136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_47160]) ).
tcf(c_48137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_47160]) ).
tcf(c_48138,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_47160]) ).
tcf(c_48139,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_47160]) ).
tcf(c_48140,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_47160]) ).
tcf(c_48141,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_47160]) ).
tcf(c_48142,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_47160]) ).
tcf(c_48145,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_47160]) ).
tcf(c_48146,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_47160]) ).
tcf(c_48205,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48139,c_927]) ).
tcf(c_48494,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_47495]) ).
tcf(c_48495,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_47495]) ).
tcf(c_48496,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_47495]) ).
tcf(c_48497,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_47495]) ).
tcf(c_48498,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_47495]) ).
tcf(c_48499,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_47495]) ).
tcf(c_48500,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_47495]) ).
tcf(c_48501,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_47495]) ).
tcf(c_48502,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_47495]) ).
tcf(c_48503,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_47495]) ).
tcf(c_48504,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_47495]) ).
tcf(c_48505,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_47495]) ).
tcf(c_48506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_47495]) ).
tcf(c_48507,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_47495]) ).
tcf(c_48508,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_47495]) ).
tcf(c_48509,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_47495]) ).
tcf(c_48510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_47495]) ).
tcf(c_48511,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_47495]) ).
tcf(c_48512,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_47495]) ).
tcf(c_48513,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_47495]) ).
tcf(c_48514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_47495]) ).
tcf(c_48515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_47495]) ).
tcf(c_48516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_47495]) ).
tcf(c_48517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_47495]) ).
tcf(c_48518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_47495]) ).
tcf(c_48519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_47495]) ).
tcf(c_48520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_47495]) ).
tcf(c_48521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_47495]) ).
tcf(c_48522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_47495]) ).
tcf(c_48523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_47495]) ).
tcf(c_48524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_47495]) ).
tcf(c_48525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_47495]) ).
tcf(c_48526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_47495]) ).
tcf(c_48527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_47495]) ).
tcf(c_48528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_47495]) ).
tcf(c_48529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_47495]) ).
tcf(c_48530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_47495]) ).
tcf(c_48531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_47495]) ).
tcf(c_48532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_47495]) ).
tcf(c_48533,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_47495]) ).
tcf(c_48534,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_47495]) ).
tcf(c_48535,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_47495]) ).
tcf(c_48536,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_47495]) ).
tcf(c_48537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_47495]) ).
tcf(c_48538,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_47495]) ).
tcf(c_48539,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_47495]) ).
tcf(c_48540,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_47495]) ).
tcf(c_48541,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_47495]) ).
tcf(c_48542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_47495]) ).
tcf(c_48543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_47495]) ).
tcf(c_48544,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_47495]) ).
tcf(c_48545,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_47495]) ).
tcf(c_48546,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_47495]) ).
tcf(c_48547,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_47495]) ).
tcf(c_48548,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_47495]) ).
tcf(c_48551,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_47495]) ).
tcf(c_48552,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_47495]) ).
tcf(c_48615,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48545,c_927]) ).
tcf(c_48852,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_48102]) ).
tcf(c_48853,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_48102]) ).
tcf(c_48854,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_48102]) ).
tcf(c_48855,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_48102]) ).
tcf(c_48856,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_48102]) ).
tcf(c_48857,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_48102]) ).
tcf(c_48859,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_48102]) ).
tcf(c_48860,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_48102]) ).
tcf(c_48861,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_48102]) ).
tcf(c_48862,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_48102]) ).
tcf(c_48863,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_48102]) ).
tcf(c_48864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_48102]) ).
tcf(c_48866,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_48102]) ).
tcf(c_48867,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_48102]) ).
tcf(c_48868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_48102]) ).
tcf(c_48869,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_48102]) ).
tcf(c_48870,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_48102]) ).
tcf(c_48871,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_48102]) ).
tcf(c_48872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_48102]) ).
tcf(c_48873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_48102]) ).
tcf(c_48874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_48102]) ).
tcf(c_48875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_48102]) ).
tcf(c_48876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_48102]) ).
tcf(c_48877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_48102]) ).
tcf(c_48878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_48102]) ).
tcf(c_48879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_48102]) ).
tcf(c_48880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_48102]) ).
tcf(c_48881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_48102]) ).
tcf(c_48882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_48102]) ).
tcf(c_48883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_48102]) ).
tcf(c_48884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_48102]) ).
tcf(c_48885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_48102]) ).
tcf(c_48886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_48102]) ).
tcf(c_48887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_48102]) ).
tcf(c_48888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_48102]) ).
tcf(c_48889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_48102]) ).
tcf(c_48890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_48102]) ).
tcf(c_48891,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_48102]) ).
tcf(c_48892,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_48102]) ).
tcf(c_48893,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_48102]) ).
tcf(c_48894,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_48102]) ).
tcf(c_48895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_48102]) ).
tcf(c_48896,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_48102]) ).
tcf(c_48897,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_48102]) ).
tcf(c_48898,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_48102]) ).
tcf(c_48899,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_48102]) ).
tcf(c_48900,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_48102]) ).
tcf(c_48901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_48102]) ).
tcf(c_48902,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_48102]) ).
tcf(c_48903,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_48102]) ).
tcf(c_48904,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_48102]) ).
tcf(c_48905,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_48102]) ).
tcf(c_48906,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_48102]) ).
tcf(c_48909,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_48102]) ).
tcf(c_48910,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_48102]) ).
tcf(c_48969,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48903,c_927]) ).
tcf(c_49362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),intersection(intersection(X0,X1),X2))
| ~ subset(X3,sK3)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_12201]) ).
tcf(c_49363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(intersection(X0,X1),X2))
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_10326]) ).
tcf(c_49364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,intersection(X0,X1)),X5)
| member(sK5(intersection(X4,intersection(X0,X1)),X5),X3)
| ~ subset(X0,X2)
| ~ subset(intersection(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_34093,c_1913]) ).
tcf(c_49365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(intersection(X0,X1),X2))
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_7220]) ).
tcf(c_49366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(intersection(X0,X1),X2))
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_6977]) ).
tcf(c_49367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(X0,X1),X4),X5)
| member(sK5(intersection(intersection(X0,X1),X4),X5),X3)
| ~ subset(X0,X2)
| ~ subset(intersection(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_34093,c_1578]) ).
tcf(c_49368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(intersection(X0,X1),X2))
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_2293]) ).
tcf(c_49369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(intersection(X0,X1),X2))
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_2222]) ).
tcf(c_49370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,X1),X4)
| member(sK5(intersection(X0,X1),X4),X3)
| ~ subset(X0,X2)
| ~ subset(intersection(intersection(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_34093,c_1208]) ).
tcf(c_49371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(X0,X1),X2))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_1345]) ).
tcf(c_49372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(X0,X1),X2))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(X0,X2)
| ~ subset(sK1,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_1284]) ).
tcf(c_49373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(X0,X1),X2))
| ~ member(X3,sK1)
| ~ subset(X0,X2)
| ~ subset(sK2,intersection(X0,X1)) ),
inference(superposition,[status(thm)],[c_34093,c_994]) ).
tcf(c_49374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,intersection(intersection(X0,X3),X1))
| ~ member(X2,X3)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34093,c_1094]) ).
tcf(c_49375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,intersection(X0,X4)),X5)
| member(sK5(image3(X2,X3,intersection(X0,X4)),X5),intersection(X0,X4))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34093,c_3116]) ).
tcf(c_49377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(X0,X3)),X4)
| member(sK5(intersection(X2,intersection(X0,X3)),X4),intersection(X0,X3))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34093,c_1915]) ).
tcf(c_49379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X2),X3),X4)
| member(sK5(intersection(intersection(X0,X2),X3),X4),intersection(X0,X2))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34093,c_1580]) ).
tcf(c_49381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,X2),X3)
| member(sK5(intersection(X0,X2),X3),intersection(X0,X2))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_34093,c_1210]) ).
tcf(c_49552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X2),
inference(superposition,[status(thm)],[c_1726,c_54]) ).
tcf(c_49554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1726,c_13224]) ).
tcf(c_49555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK3) ),
inference(superposition,[status(thm)],[c_1726,c_12924]) ).
tcf(c_49556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_1726,c_11170]) ).
tcf(c_49557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_1726,c_10956]) ).
tcf(c_49558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_1726,c_7357]) ).
tcf(c_49559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),sK3) ),
inference(superposition,[status(thm)],[c_1726,c_7083]) ).
tcf(c_49565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_48102]) ).
tcf(c_49566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_47495]) ).
tcf(c_49567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_47160]) ).
tcf(c_49568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_44179]) ).
tcf(c_49569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_43638]) ).
tcf(c_49570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_32612]) ).
tcf(c_49571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_32217]) ).
tcf(c_49572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_31666]) ).
tcf(c_49573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_31133]) ).
tcf(c_49574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_30462]) ).
tcf(c_49575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_27162]) ).
tcf(c_49576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_26639]) ).
tcf(c_49577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_23938]) ).
tcf(c_49578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_23466]) ).
tcf(c_49579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_23133]) ).
tcf(c_49580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_22748]) ).
tcf(c_49581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_21378]) ).
tcf(c_49582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_20984]) ).
tcf(c_49583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_17471]) ).
tcf(c_49584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_17052]) ).
tcf(c_49585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_14454]) ).
tcf(c_49586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_6414]) ).
tcf(c_49587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_6070]) ).
tcf(c_49588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_5860]) ).
tcf(c_49589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_5547]) ).
tcf(c_49590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_5271]) ).
tcf(c_49591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_4987]) ).
tcf(c_49592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_4986]) ).
tcf(c_49593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))) = sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)) ) ),
inference(superposition,[status(thm)],[c_1726,c_4945]) ).
tcf(c_49594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),intersection(X2,X5))
| ~ member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),intersection(X2,X5)),X5) ),
inference(superposition,[status(thm)],[c_1726,c_1093]) ).
tcf(c_49595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4)
| member(sK5(intersection(intersection(image3(X0,X1,sK3),X2),X3),X4),sK1) ),
inference(superposition,[status(thm)],[c_1726,c_15799]) ).
tcf(c_49597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK4),X2),X3),X4)
| member(sK5(intersection(intersection(image3(X0,X1,sK4),X2),X3),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_11950]) ).
tcf(c_49598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK4),X2),X3),X4)
| member(sK5(intersection(intersection(image3(X0,X1,sK4),X2),X3),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_11643]) ).
tcf(c_49599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X1,X2,sK4),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X1,X2,sK4),X3),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1726,c_7948]) ).
tcf(c_49600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(intersection(image3(X0,X1,X2),X3),X4),intersection(intersection(intersection(image3(X0,X1,X2),X3),X4),X2)),
inference(superposition,[status(thm)],[c_1726,c_33831]) ).
tcf(c_49601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1726,c_13080]) ).
tcf(c_49602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4),X5),sK1)
| ~ member(sK5(intersection(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_1726,c_13482]) ).
tcf(c_49603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X0,X1,image3(X2,X3,sK3)),X4),X5),X6)
| member(sK5(intersection(intersection(image3(X0,X1,image3(X2,X3,sK3)),X4),X5),X6),sK1)
| ~ member(sK5(intersection(intersection(image3(X0,X1,image3(X2,X3,sK3)),X4),X5),X6),X7) ),
inference(superposition,[status(thm)],[c_1726,c_13755]) ).
tcf(c_49975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X2)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_12201]) ).
tcf(c_49976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X2)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_10326]) ).
tcf(c_49977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(image3(X3,X4,X0),X5),X6)),X7)
| member(sK5(intersection(X2,intersection(intersection(image3(X3,X4,X0),X5),X6)),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49552,c_1913]) ).
tcf(c_49978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X2)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_7220]) ).
tcf(c_49979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X2)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_6977]) ).
tcf(c_49980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(image3(X2,X3,X0),X4),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(image3(X2,X3,X0),X4),X5),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49552,c_1578]) ).
tcf(c_49981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X2)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_2293]) ).
tcf(c_49982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X2)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_2222]) ).
tcf(c_49984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X2)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_1345]) ).
tcf(c_49985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X2)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_1284]) ).
tcf(c_49986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X2)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(intersection(image3(X0,X1,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_994]) ).
tcf(c_49987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,X3)
| ~ member(X0,X5)
| ~ member(X0,intersection(image3(X1,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_49552,c_1094]) ).
tcf(c_49988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(image3(X2,X3,intersection(X4,X5)),X6),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(image3(X2,X3,intersection(X4,X5)),X6),X7)),X8),X4) ),
inference(superposition,[status(thm)],[c_49552,c_3116]) ).
tcf(c_49989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(intersection(image3(X2,X3,intersection(X4,X5)),X6),X7)),X8)
| member(sK5(image3(X0,X1,intersection(intersection(image3(X2,X3,intersection(X4,X5)),X6),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_49552,c_3115]) ).
tcf(c_49990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(image3(X1,X2,intersection(X3,X4)),X5),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(image3(X1,X2,intersection(X3,X4)),X5),X6)),X7),X3) ),
inference(superposition,[status(thm)],[c_49552,c_1915]) ).
tcf(c_49991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(intersection(image3(X1,X2,intersection(X3,X4)),X5),X6)),X7)
| member(sK5(intersection(X0,intersection(intersection(image3(X1,X2,intersection(X3,X4)),X5),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_49552,c_1914]) ).
tcf(c_49992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6),X7),X2) ),
inference(superposition,[status(thm)],[c_49552,c_1580]) ).
tcf(c_49993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6),X7)
| member(sK5(intersection(intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_49552,c_1579]) ).
tcf(c_49996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_49552,c_1582]) ).
tcf(c_49997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(intersection(image3(X2,X3,image3(X4,X5,X6)),X7),X8)),X9)
| member(sK5(image3(X0,X1,intersection(intersection(image3(X2,X3,image3(X4,X5,X6)),X7),X8)),X9),X6) ),
inference(superposition,[status(thm)],[c_49552,c_3119]) ).
tcf(c_49998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8)),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8)),X9),X10)),sK5(intersection(image3(X2,X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8)),X9),X10)) ),
inference(superposition,[status(thm)],[c_49552,c_3176]) ).
tcf(c_49999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(intersection(image3(X5,X6,image3(X0,X1,X7)),X8),X9))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(intersection(image3(X5,X6,image3(X0,X1,X7)),X8),X9))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(intersection(image3(X5,X6,image3(X0,X1,X7)),X8),X9))),X10)) ),
inference(superposition,[status(thm)],[c_49552,c_3175]) ).
tcf(c_50000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8)),X9)),sK5(image3(X2,X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8)),X9)) ),
inference(superposition,[status(thm)],[c_49552,c_3117]) ).
tcf(c_50001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8))),X9)),sK5(intersection(X2,intersection(X3,intersection(intersection(image3(X4,X5,image3(X0,X1,X6)),X7),X8))),X9)) ),
inference(superposition,[status(thm)],[c_49552,c_2952]) ).
tcf(c_50002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7),X8)),X9)),sK5(intersection(X2,intersection(intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7),X8)),X9)) ),
inference(superposition,[status(thm)],[c_49552,c_2949]) ).
tcf(c_50003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8),X9)),sK5(intersection(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_49552,c_2647]) ).
tcf(c_50004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8),X9)),sK5(intersection(intersection(intersection(intersection(image3(X2,X3,image3(X0,X1,X4)),X5),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_49552,c_2644]) ).
tcf(c_50005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(intersection(image3(X1,X2,image3(X3,X4,X5)),X6),X7)),X8)
| member(sK5(intersection(X0,intersection(intersection(image3(X1,X2,image3(X3,X4,X5)),X6),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_49552,c_1918]) ).
tcf(c_50006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(intersection(image3(X0,X1,image3(X2,X3,X4)),X5),X6),X7),X8)
| member(sK5(intersection(intersection(intersection(image3(X0,X1,image3(X2,X3,X4)),X5),X6),X7),X8),X4) ),
inference(superposition,[status(thm)],[c_49552,c_1583]) ).
tcf(c_50012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(intersection(image3(X0,X1,sK3),X2),X3),sK1),
inference(superposition,[status(thm)],[c_49552,c_12385]) ).
tcf(c_50013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,sK1)
| ~ member(X0,X5)
| ~ member(X0,X4)
| ~ member(X0,intersection(image3(X1,X2,sK3),X3)) ),
inference(superposition,[status(thm)],[c_49552,c_29991]) ).
tcf(c_50195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK1),X4)
| member(sK7(X0,X1,sK5(intersection(X3,sK1),X4)),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))))) = sK6(sK0,sK2,sK5(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_4974,c_1917]) ).
tcf(c_50204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7)),X1) ),
inference(superposition,[status(thm)],[c_2779,c_1917]) ).
tcf(c_50205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7)),X1) ),
inference(superposition,[status(thm)],[c_2985,c_1917]) ).
tcf(c_50206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,image3(X5,X6,X0)),X7)
| member(sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,X0)),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3113,c_1917]) ).
tcf(c_50207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7)),X1) ),
inference(superposition,[status(thm)],[c_3324,c_1917]) ).
tcf(c_50208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(image3(X0,X1,X5),X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_3413,c_1917]) ).
tcf(c_50209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8)
| member(sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,image3(X5,X6,image3(X0,X1,X7)))),X8)),X1) ),
inference(superposition,[status(thm)],[c_4757,c_1917]) ).
tcf(c_50210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK3,X4)),X5)
| member(sK7(X0,X1,sK5(intersection(X3,intersection(sK3,X4)),X5)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6976,c_1917]) ).
tcf(c_50211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(sK4,X4)),X5)
| member(sK7(X0,X1,sK5(intersection(X3,intersection(sK4,X4)),X5)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7219,c_1917]) ).
tcf(c_50212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X3,intersection(X4,sK3)),X5)
| member(sK7(X0,X1,sK5(intersection(X3,intersection(X4,sK3)),X5)),X1)
| ~ subset(sK1,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_10325,c_1917]) ).
tcf(c_50213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(intersection(X5,X0),X6)),X7)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X5,X0),X6)),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_13923,c_1917]) ).
tcf(c_50214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X0,X1,X5))),X6)),X7)),X1) ),
inference(superposition,[status(thm)],[c_15036,c_1917]) ).
tcf(c_50215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(image3(X0,X1,X4),X5)),X6)),X7)),X1) ),
inference(superposition,[status(thm)],[c_15347,c_1917]) ).
tcf(c_50216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(intersection(X0,X5),X6)),X7)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X0,X5),X6)),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_16542,c_1917]) ).
tcf(c_50217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(X3,image3(X0,X1,X4)),X5),X6)),X7)),X1) ),
inference(superposition,[status(thm)],[c_17907,c_1917]) ).
tcf(c_50218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(intersection(image3(X0,X1,X3),X4),X5),X6)),X7)),X1) ),
inference(superposition,[status(thm)],[c_18284,c_1917]) ).
tcf(c_50219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(X5,intersection(X6,X0))),X7)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X6,X0))),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_20017,c_1917]) ).
tcf(c_50220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X0,X1,X6))))),X7)),X1) ),
inference(superposition,[status(thm)],[c_20482,c_1917]) ).
tcf(c_50221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X0,X1,X5),X6)))),X7)),X1) ),
inference(superposition,[status(thm)],[c_21891,c_1917]) ).
tcf(c_50222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X4,intersection(X5,intersection(X0,X6))),X7)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X0,X6))),X7)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_22222,c_1917]) ).
tcf(c_50223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(X4,image3(X0,X1,X5)),X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_24618,c_1917]) ).
tcf(c_50224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(intersection(image3(X0,X1,X4),X5),X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_25178,c_1917]) ).
tcf(c_50225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X8)),X1) ),
inference(superposition,[status(thm)],[c_45393,c_1917]) ).
tcf(c_50226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(intersection(image3(X3,X4,image3(X0,X1,X5)),X6),X7)),X8)),X1) ),
inference(superposition,[status(thm)],[c_49552,c_1917]) ).
tcf(c_50359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X4),
inference(superposition,[status(thm)],[c_2016,c_54]) ).
tcf(c_50361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK1)
| ~ subset(X4,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6) ),
inference(superposition,[status(thm)],[c_2016,c_13224]) ).
tcf(c_50362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK3) ),
inference(superposition,[status(thm)],[c_2016,c_12924]) ).
tcf(c_50363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK4) ),
inference(superposition,[status(thm)],[c_2016,c_11170]) ).
tcf(c_50364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK4) ),
inference(superposition,[status(thm)],[c_2016,c_10956]) ).
tcf(c_50365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK4) ),
inference(superposition,[status(thm)],[c_2016,c_7357]) ).
tcf(c_50366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),X5),sK3) ),
inference(superposition,[status(thm)],[c_2016,c_7083]) ).
tcf(c_50372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_48102]) ).
tcf(c_50373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_47495]) ).
tcf(c_50374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_47160]) ).
tcf(c_50375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_44179]) ).
tcf(c_50376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_43638]) ).
tcf(c_50377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_32612]) ).
tcf(c_50378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_32217]) ).
tcf(c_50379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_31666]) ).
tcf(c_50380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_31133]) ).
tcf(c_50381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_30462]) ).
tcf(c_50382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_27162]) ).
tcf(c_50383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_26639]) ).
tcf(c_50384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_23938]) ).
tcf(c_50385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_23466]) ).
tcf(c_50386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_23133]) ).
tcf(c_50387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_22748]) ).
tcf(c_50388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_21378]) ).
tcf(c_50389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_20984]) ).
tcf(c_50390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_17471]) ).
tcf(c_50391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_17052]) ).
tcf(c_50392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_14454]) ).
tcf(c_50393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_6414]) ).
tcf(c_50394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_6070]) ).
tcf(c_50395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_5860]) ).
tcf(c_50396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_5547]) ).
tcf(c_50397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_5271]) ).
tcf(c_50398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_4987]) ).
tcf(c_50399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_4986]) ).
tcf(c_50400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)) ) ),
inference(superposition,[status(thm)],[c_2016,c_4945]) ).
tcf(c_50401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),intersection(X4,X5))
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,X4))),intersection(X4,X5)),X5) ),
inference(superposition,[status(thm)],[c_2016,c_1093]) ).
tcf(c_50402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,sK3))),X4),sK1) ),
inference(superposition,[status(thm)],[c_2016,c_15799]) ).
tcf(c_50404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK4))),X4)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,sK4))),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_11950]) ).
tcf(c_50405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK4))),X4)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,sK4))),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_11643]) ).
tcf(c_50406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(X2,image3(X3,X4,sK4))),X5)
| member(sK5(intersection(X1,intersection(X2,image3(X3,X4,sK4))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2016,c_7948]) ).
tcf(c_50407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,intersection(X2,image3(X3,X4,X5))),X6)
| member(sK5(intersection(sK4,intersection(X2,image3(X3,X4,X5))),X6),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2016,c_25888]) ).
tcf(c_50408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(sK4,intersection(X1,image3(X2,X3,X4))),X5),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2016,c_18969]) ).
tcf(c_50409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(X1,image3(X2,X3,X4))),X5)
| member(sK5(intersection(sK4,intersection(X1,image3(X2,X3,X4))),X5),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2016,c_18735]) ).
tcf(c_50410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(X0,intersection(X1,image3(X2,X3,X4))),intersection(intersection(X0,intersection(X1,image3(X2,X3,X4))),X4)),
inference(superposition,[status(thm)],[c_2016,c_33831]) ).
tcf(c_50411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,sK3)))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,sK3)))),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,sK3)))),X5),X6) ),
inference(superposition,[status(thm)],[c_2016,c_13080]) ).
tcf(c_50412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(sK3,X4)))),X5)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(sK3,X4)))),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(sK3,X4)))),X5),X6) ),
inference(superposition,[status(thm)],[c_2016,c_13482]) ).
tcf(c_50413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,sK3)))),X6)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,sK3)))),X6),sK1)
| ~ member(sK5(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,sK3)))),X6),X7) ),
inference(superposition,[status(thm)],[c_2016,c_13755]) ).
tcf(c_50414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,intersection(X1,image3(X2,X3,X4))),intersection(X0,X4))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2016,c_33866]) ).
tcf(c_50415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(X1,image3(X2,X3,X4))),intersection(X0,X4))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2016,c_33867]) ).
tcf(c_50416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(sK4,intersection(X0,image3(X1,X2,X3))),intersection(sK1,X3)),
inference(superposition,[status(thm)],[c_2016,c_42867]) ).
tcf(c_50808,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(sK1,X1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_38934,c_12201]) ).
tcf(c_50809,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_10326]) ).
tcf(c_50810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK4),X3)
| member(sK5(intersection(X2,sK4),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_38934,c_1913]) ).
tcf(c_50811,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_7220]) ).
tcf(c_50812,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_6977]) ).
tcf(c_50814,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_2293]) ).
tcf(c_50815,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_2222]) ).
tcf(c_50816,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_38934,c_1208]) ).
tcf(c_50817,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_1345]) ).
tcf(c_50818,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_1284]) ).
tcf(c_50819,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_994]) ).
tcf(c_50820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK4),X3)
| member(sK5(image3(X1,X2,sK4),X3),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_3116]) ).
tcf(c_50822,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK4),X2)
| member(sK5(intersection(X1,sK4),X2),sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38934,c_1915]) ).
tcf(c_50932,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(sK1,X1))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_38935,c_12201]) ).
tcf(c_50933,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_10326]) ).
tcf(c_50934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_38935,c_1913]) ).
tcf(c_50935,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_7220]) ).
tcf(c_50936,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_6977]) ).
tcf(c_50937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_38935,c_1578]) ).
tcf(c_50938,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_2293]) ).
tcf(c_50939,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_2222]) ).
tcf(c_50940,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_38935,c_1208]) ).
tcf(c_50941,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_1345]) ).
tcf(c_50942,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK1,sK3)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_1284]) ).
tcf(c_50943,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(sK1,X0))
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_38935,c_994]) ).
tcf(c_51140,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK5(X0,X2),intersection(X1,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_39237,c_12201]) ).
tcf(c_51141,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,sK3),X2)
| member(sK5(intersection(X1,sK3),X2),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_10326]) ).
tcf(c_51142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK4),X3)
| member(sK5(intersection(X2,sK4),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39237,c_1913]) ).
tcf(c_51143,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,X1),X2)
| member(sK5(intersection(sK4,X1),X2),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_7220]) ).
tcf(c_51144,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK3,X1),X2)
| member(sK5(intersection(sK3,X1),X2),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_6977]) ).
tcf(c_51145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39237,c_1578]) ).
tcf(c_51146,plain,
! [X0: $i,X1: $i] :
( subset(sK4,X1)
| member(sK5(sK4,X1),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_2293]) ).
tcf(c_51147,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK5(sK3,X1),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_2222]) ).
tcf(c_51148,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_39237,c_1208]) ).
tcf(c_51149,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_1345]) ).
tcf(c_51150,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK1,sK4)
| ~ subset(sK2,sK3)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_1284]) ).
tcf(c_51151,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X1),intersection(X0,sK1))
| ~ subset(sK2,sK4)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39237,c_994]) ).
tcf(c_51220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),intersection(sK1,X1))
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_12201]) ).
tcf(c_51221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(sK1,X1))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_10326]) ).
tcf(c_51222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,intersection(X3,X0))),X4)
| member(sK5(intersection(X2,intersection(sK4,intersection(X3,X0))),X4),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42881,c_1913]) ).
tcf(c_51223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(sK1,X1))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_7220]) ).
tcf(c_51224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(sK1,X1))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_6977]) ).
tcf(c_51225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,intersection(X2,X0)),X3),X4)
| member(sK5(intersection(intersection(sK4,intersection(X2,X0)),X3),X4),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42881,c_1578]) ).
tcf(c_51226,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(sK1,X1))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_2293]) ).
tcf(c_51227,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(sK1,X1))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_2222]) ).
tcf(c_51228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X2,X0)),X3)
| member(sK5(intersection(sK4,intersection(X2,X0)),X3),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42881,c_1208]) ).
tcf(c_51229,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_1345]) ).
tcf(c_51230,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_1284]) ).
tcf(c_51231,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X1))
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42881,c_994]) ).
tcf(c_51232,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(sK1,X2))
| ~ member(X0,sK4)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_42881,c_1094]) ).
tcf(c_51233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(sK4,intersection(X2,X3))),X4)
| member(sK5(image3(X0,X1,intersection(sK4,intersection(X2,X3))),X4),sK1) ),
inference(superposition,[status(thm)],[c_42881,c_3116]) ).
tcf(c_51234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(sK4,intersection(X2,X3))),X4)
| member(sK5(image3(X0,X1,intersection(sK4,intersection(X2,X3))),X4),X3) ),
inference(superposition,[status(thm)],[c_42881,c_3115]) ).
tcf(c_51235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(sK4,intersection(X1,X2))),X3)
| member(sK5(intersection(X0,intersection(sK4,intersection(X1,X2))),X3),sK1) ),
inference(superposition,[status(thm)],[c_42881,c_1915]) ).
tcf(c_51236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(sK4,intersection(X1,X2))),X3)
| member(sK5(intersection(X0,intersection(sK4,intersection(X1,X2))),X3),X2) ),
inference(superposition,[status(thm)],[c_42881,c_1914]) ).
tcf(c_51237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,intersection(X0,X1)),X2),X3)
| member(sK5(intersection(intersection(sK4,intersection(X0,X1)),X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_42881,c_1580]) ).
tcf(c_51238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,intersection(X0,X1)),X2),X3)
| member(sK5(intersection(intersection(sK4,intersection(X0,X1)),X2),X3),X1) ),
inference(superposition,[status(thm)],[c_42881,c_1579]) ).
tcf(c_51239,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X0,X1)),X2)
| member(sK5(intersection(sK4,intersection(X0,X1)),X2),sK1) ),
inference(superposition,[status(thm)],[c_42881,c_1210]) ).
tcf(c_51240,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X0,X1)),X2)
| member(sK5(intersection(sK4,intersection(X0,X1)),X2),X1) ),
inference(superposition,[status(thm)],[c_42881,c_1209]) ).
tcf(c_51423,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_48507]) ).
tcf(c_51424,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_48507]) ).
tcf(c_51425,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_48507]) ).
tcf(c_51426,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_48507]) ).
tcf(c_51427,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_48507]) ).
tcf(c_51428,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_48507]) ).
tcf(c_51429,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_48507]) ).
tcf(c_51430,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_48507]) ).
tcf(c_51431,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_48507]) ).
tcf(c_51432,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_48507]) ).
tcf(c_51433,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_48507]) ).
tcf(c_51434,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_48507]) ).
tcf(c_51435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_48507]) ).
tcf(c_51436,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_48507]) ).
tcf(c_51437,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_48507]) ).
tcf(c_51438,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_48507]) ).
tcf(c_51439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_48507]) ).
tcf(c_51440,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_48507]) ).
tcf(c_51441,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_48507]) ).
tcf(c_51442,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_48507]) ).
tcf(c_51443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_48507]) ).
tcf(c_51444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_48507]) ).
tcf(c_51445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_48507]) ).
tcf(c_51446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_48507]) ).
tcf(c_51447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_48507]) ).
tcf(c_51448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_48507]) ).
tcf(c_51449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_48507]) ).
tcf(c_51450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_48507]) ).
tcf(c_51451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_48507]) ).
tcf(c_51452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_48507]) ).
tcf(c_51453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_48507]) ).
tcf(c_51454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_48507]) ).
tcf(c_51455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_48507]) ).
tcf(c_51456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_48507]) ).
tcf(c_51457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_48507]) ).
tcf(c_51458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_48507]) ).
tcf(c_51459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_48507]) ).
tcf(c_51460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_48507]) ).
tcf(c_51461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_48507]) ).
tcf(c_51462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_48507]) ).
tcf(c_51463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_48507]) ).
tcf(c_51464,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_48507]) ).
tcf(c_51465,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_48507]) ).
tcf(c_51466,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_48507]) ).
tcf(c_51467,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_48507]) ).
tcf(c_51468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_48507]) ).
tcf(c_51469,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_48507]) ).
tcf(c_51470,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_48507]) ).
tcf(c_51471,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_48507]) ).
tcf(c_51472,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_48507]) ).
tcf(c_51473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_48507]) ).
tcf(c_51474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_48507]) ).
tcf(c_51475,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_48507]) ).
tcf(c_51476,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_48507]) ).
tcf(c_51477,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_48507]) ).
tcf(c_51478,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_48507]) ).
tcf(c_51479,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_48507]) ).
tcf(c_51482,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_48507]) ).
tcf(c_51483,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_48507]) ).
tcf(c_51546,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51476,c_927]) ).
tcf(c_51820,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_48866]) ).
tcf(c_51821,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_48866]) ).
tcf(c_51822,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_48866]) ).
tcf(c_51823,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_48866]) ).
tcf(c_51824,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_48866]) ).
tcf(c_51825,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_48866]) ).
tcf(c_51827,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_48866]) ).
tcf(c_51828,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_48866]) ).
tcf(c_51829,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_48866]) ).
tcf(c_51830,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_48866]) ).
tcf(c_51831,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_48866]) ).
tcf(c_51832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_48866]) ).
tcf(c_51834,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_48866]) ).
tcf(c_51835,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_48866]) ).
tcf(c_51836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_48866]) ).
tcf(c_51837,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_48866]) ).
tcf(c_51838,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_48866]) ).
tcf(c_51839,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_48866]) ).
tcf(c_51840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_48866]) ).
tcf(c_51841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_48866]) ).
tcf(c_51842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_48866]) ).
tcf(c_51843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_48866]) ).
tcf(c_51844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_48866]) ).
tcf(c_51845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_48866]) ).
tcf(c_51846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_48866]) ).
tcf(c_51847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_48866]) ).
tcf(c_51848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_48866]) ).
tcf(c_51849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_48866]) ).
tcf(c_51850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_48866]) ).
tcf(c_51851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_48866]) ).
tcf(c_51852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_48866]) ).
tcf(c_51853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_48866]) ).
tcf(c_51854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_48866]) ).
tcf(c_51855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_48866]) ).
tcf(c_51856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_48866]) ).
tcf(c_51857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_48866]) ).
tcf(c_51858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_48866]) ).
tcf(c_51859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_48866]) ).
tcf(c_51860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_48866]) ).
tcf(c_51861,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_48866]) ).
tcf(c_51862,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_48866]) ).
tcf(c_51863,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_48866]) ).
tcf(c_51864,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_48866]) ).
tcf(c_51865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_48866]) ).
tcf(c_51866,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_48866]) ).
tcf(c_51867,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_48866]) ).
tcf(c_51868,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_48866]) ).
tcf(c_51869,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_48866]) ).
tcf(c_51870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_48866]) ).
tcf(c_51871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_48866]) ).
tcf(c_51872,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_48866]) ).
tcf(c_51873,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_48866]) ).
tcf(c_51874,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_48866]) ).
tcf(c_51875,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_48866]) ).
tcf(c_51876,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_48866]) ).
tcf(c_51879,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_48866]) ).
tcf(c_51880,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_48866]) ).
tcf(c_51939,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51873,c_927]) ).
tcf(c_52430,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_51436]) ).
tcf(c_52431,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_51436]) ).
tcf(c_52432,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_51436]) ).
tcf(c_52433,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_51436]) ).
tcf(c_52434,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_51436]) ).
tcf(c_52435,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_51436]) ).
tcf(c_52436,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_51436]) ).
tcf(c_52437,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_51436]) ).
tcf(c_52438,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_51436]) ).
tcf(c_52439,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_51436]) ).
tcf(c_52440,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_51436]) ).
tcf(c_52441,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_51436]) ).
tcf(c_52442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_51436]) ).
tcf(c_52443,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_51436]) ).
tcf(c_52444,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_51436]) ).
tcf(c_52445,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_51436]) ).
tcf(c_52446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_51436]) ).
tcf(c_52447,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_51436]) ).
tcf(c_52448,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_51436]) ).
tcf(c_52449,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_51436]) ).
tcf(c_52450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_51436]) ).
tcf(c_52451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_51436]) ).
tcf(c_52452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_51436]) ).
tcf(c_52453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_51436]) ).
tcf(c_52454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_51436]) ).
tcf(c_52455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_51436]) ).
tcf(c_52456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_51436]) ).
tcf(c_52457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_51436]) ).
tcf(c_52458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_51436]) ).
tcf(c_52459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_51436]) ).
tcf(c_52460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_51436]) ).
tcf(c_52461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_51436]) ).
tcf(c_52462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_51436]) ).
tcf(c_52463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_51436]) ).
tcf(c_52464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_51436]) ).
tcf(c_52465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_51436]) ).
tcf(c_52466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_51436]) ).
tcf(c_52467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_51436]) ).
tcf(c_52468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_51436]) ).
tcf(c_52469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_51436]) ).
tcf(c_52470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_51436]) ).
tcf(c_52471,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_51436]) ).
tcf(c_52472,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_51436]) ).
tcf(c_52473,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_51436]) ).
tcf(c_52474,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_51436]) ).
tcf(c_52475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_51436]) ).
tcf(c_52476,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_51436]) ).
tcf(c_52477,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_51436]) ).
tcf(c_52478,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_51436]) ).
tcf(c_52479,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_51436]) ).
tcf(c_52480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_51436]) ).
tcf(c_52481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_51436]) ).
tcf(c_52482,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_51436]) ).
tcf(c_52483,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_51436]) ).
tcf(c_52484,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_51436]) ).
tcf(c_52485,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_51436]) ).
tcf(c_52486,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_51436]) ).
tcf(c_52489,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_51436]) ).
tcf(c_52490,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_51436]) ).
tcf(c_52553,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52483,c_927]) ).
tcf(c_53014,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_51834]) ).
tcf(c_53015,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_51834]) ).
tcf(c_53016,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_51834]) ).
tcf(c_53017,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_51834]) ).
tcf(c_53018,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_51834]) ).
tcf(c_53019,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_51834]) ).
tcf(c_53021,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_51834]) ).
tcf(c_53022,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_51834]) ).
tcf(c_53023,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_51834]) ).
tcf(c_53024,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_51834]) ).
tcf(c_53025,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_51834]) ).
tcf(c_53026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_51834]) ).
tcf(c_53028,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_51834]) ).
tcf(c_53029,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_51834]) ).
tcf(c_53030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_51834]) ).
tcf(c_53031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_51834]) ).
tcf(c_53032,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_51834]) ).
tcf(c_53033,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_51834]) ).
tcf(c_53034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_51834]) ).
tcf(c_53035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_51834]) ).
tcf(c_53036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_51834]) ).
tcf(c_53037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_51834]) ).
tcf(c_53038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_51834]) ).
tcf(c_53039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_51834]) ).
tcf(c_53040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_51834]) ).
tcf(c_53041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_51834]) ).
tcf(c_53042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_51834]) ).
tcf(c_53043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_51834]) ).
tcf(c_53044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_51834]) ).
tcf(c_53045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_51834]) ).
tcf(c_53046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_51834]) ).
tcf(c_53047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_51834]) ).
tcf(c_53048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_51834]) ).
tcf(c_53049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_51834]) ).
tcf(c_53050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_51834]) ).
tcf(c_53051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_51834]) ).
tcf(c_53052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_51834]) ).
tcf(c_53053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_51834]) ).
tcf(c_53054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_51834]) ).
tcf(c_53055,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_51834]) ).
tcf(c_53056,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_51834]) ).
tcf(c_53057,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_51834]) ).
tcf(c_53058,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_51834]) ).
tcf(c_53059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_51834]) ).
tcf(c_53060,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_51834]) ).
tcf(c_53061,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_51834]) ).
tcf(c_53062,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_51834]) ).
tcf(c_53063,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_51834]) ).
tcf(c_53064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_51834]) ).
tcf(c_53065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_51834]) ).
tcf(c_53066,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_51834]) ).
tcf(c_53067,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_51834]) ).
tcf(c_53068,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_51834]) ).
tcf(c_53069,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_51834]) ).
tcf(c_53070,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_51834]) ).
tcf(c_53073,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_51834]) ).
tcf(c_53074,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_51834]) ).
tcf(c_53133,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53067,c_927]) ).
tcf(c_53362,plain,
~ subset(image3(sK0,sK4,sK2),image3(sK0,intersection(sK3,sK4),sK2)),
inference(global_subsumption_just,[status(thm)],[c_12567,c_1158,c_1157,c_1197,c_1196,c_1195,c_1702,c_1701,c_1985,c_17290,c_17367,c_27033]) ).
tcf(c_53364,plain,
~ subset(sK2,image3(sK0,intersection(sK3,sK4),sK2)),
inference(superposition,[status(thm)],[c_10561,c_53362]) ).
tcf(c_53481,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_52443]) ).
tcf(c_53482,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_52443]) ).
tcf(c_53483,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_52443]) ).
tcf(c_53484,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_52443]) ).
tcf(c_53485,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_52443]) ).
tcf(c_53486,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_52443]) ).
tcf(c_53487,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_52443]) ).
tcf(c_53488,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_52443]) ).
tcf(c_53489,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_52443]) ).
tcf(c_53490,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_52443]) ).
tcf(c_53491,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_52443]) ).
tcf(c_53492,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_52443]) ).
tcf(c_53493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_52443]) ).
tcf(c_53494,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_52443]) ).
tcf(c_53495,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_52443]) ).
tcf(c_53496,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_52443]) ).
tcf(c_53497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_52443]) ).
tcf(c_53498,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_52443]) ).
tcf(c_53499,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_52443]) ).
tcf(c_53500,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_52443]) ).
tcf(c_53501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_52443]) ).
tcf(c_53502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_52443]) ).
tcf(c_53503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_52443]) ).
tcf(c_53504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_52443]) ).
tcf(c_53505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_52443]) ).
tcf(c_53506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_52443]) ).
tcf(c_53507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_52443]) ).
tcf(c_53508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_52443]) ).
tcf(c_53509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_52443]) ).
tcf(c_53510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_52443]) ).
tcf(c_53511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_52443]) ).
tcf(c_53512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_52443]) ).
tcf(c_53513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_52443]) ).
tcf(c_53514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_52443]) ).
tcf(c_53515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_52443]) ).
tcf(c_53516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_52443]) ).
tcf(c_53517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_52443]) ).
tcf(c_53518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_52443]) ).
tcf(c_53519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_52443]) ).
tcf(c_53520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_52443]) ).
tcf(c_53521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_52443]) ).
tcf(c_53522,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_52443]) ).
tcf(c_53523,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_52443]) ).
tcf(c_53524,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_52443]) ).
tcf(c_53525,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_52443]) ).
tcf(c_53526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_52443]) ).
tcf(c_53527,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_52443]) ).
tcf(c_53528,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_52443]) ).
tcf(c_53529,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_52443]) ).
tcf(c_53530,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_52443]) ).
tcf(c_53531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_52443]) ).
tcf(c_53532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_52443]) ).
tcf(c_53533,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_52443]) ).
tcf(c_53534,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_52443]) ).
tcf(c_53535,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_52443]) ).
tcf(c_53536,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_52443]) ).
tcf(c_53537,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_52443]) ).
tcf(c_53540,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_52443]) ).
tcf(c_53541,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_52443]) ).
tcf(c_53604,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53534,c_927]) ).
tcf(c_53836,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_53028]) ).
tcf(c_53837,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_53028]) ).
tcf(c_53838,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_53028]) ).
tcf(c_53839,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_53028]) ).
tcf(c_53840,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_53028]) ).
tcf(c_53841,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_53028]) ).
tcf(c_53843,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_53028]) ).
tcf(c_53844,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_53028]) ).
tcf(c_53845,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_53028]) ).
tcf(c_53846,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_53028]) ).
tcf(c_53847,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_53028]) ).
tcf(c_53848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_53028]) ).
tcf(c_53850,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_53028]) ).
tcf(c_53851,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_53028]) ).
tcf(c_53852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_53028]) ).
tcf(c_53853,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_53028]) ).
tcf(c_53854,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_53028]) ).
tcf(c_53855,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_53028]) ).
tcf(c_53856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_53028]) ).
tcf(c_53857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_53028]) ).
tcf(c_53858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_53028]) ).
tcf(c_53859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_53028]) ).
tcf(c_53860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_53028]) ).
tcf(c_53861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_53028]) ).
tcf(c_53862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_53028]) ).
tcf(c_53863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_53028]) ).
tcf(c_53864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_53028]) ).
tcf(c_53865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_53028]) ).
tcf(c_53866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_53028]) ).
tcf(c_53867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_53028]) ).
tcf(c_53868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_53028]) ).
tcf(c_53869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_53028]) ).
tcf(c_53870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_53028]) ).
tcf(c_53871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_53028]) ).
tcf(c_53872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_53028]) ).
tcf(c_53873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_53028]) ).
tcf(c_53874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_53028]) ).
tcf(c_53875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_53028]) ).
tcf(c_53876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_53028]) ).
tcf(c_53877,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_53028]) ).
tcf(c_53878,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_53028]) ).
tcf(c_53879,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_53028]) ).
tcf(c_53880,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_53028]) ).
tcf(c_53881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_53028]) ).
tcf(c_53882,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_53028]) ).
tcf(c_53883,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_53028]) ).
tcf(c_53884,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_53028]) ).
tcf(c_53885,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_53028]) ).
tcf(c_53886,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_53028]) ).
tcf(c_53887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_53028]) ).
tcf(c_53888,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_53028]) ).
tcf(c_53889,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_53028]) ).
tcf(c_53890,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_53028]) ).
tcf(c_53891,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_53028]) ).
tcf(c_53892,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_53028]) ).
tcf(c_53895,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_53028]) ).
tcf(c_53896,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_53028]) ).
tcf(c_53955,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_53889,c_927]) ).
tcf(c_54429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_12201]) ).
tcf(c_54430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_10326]) ).
tcf(c_54431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,intersection(intersection(X0,X1),X2)),X5)
| member(sK5(intersection(X4,intersection(intersection(X0,X1),X2)),X5),X3)
| ~ subset(intersection(intersection(intersection(X0,X1),X2),X1),X3) ),
inference(superposition,[status(thm)],[c_34094,c_1913]) ).
tcf(c_54432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_7220]) ).
tcf(c_54433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_6977]) ).
tcf(c_54434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X4),X5),X3)
| ~ subset(intersection(intersection(intersection(X0,X1),X2),X1),X3) ),
inference(superposition,[status(thm)],[c_34094,c_1578]) ).
tcf(c_54435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_2293]) ).
tcf(c_54436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_2222]) ).
tcf(c_54437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X4)
| member(sK5(intersection(intersection(X0,X1),X2),X4),X3)
| ~ subset(intersection(intersection(intersection(X0,X1),X2),X1),X3) ),
inference(superposition,[status(thm)],[c_34094,c_1208]) ).
tcf(c_54438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_1345]) ).
tcf(c_54439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_1284]) ).
tcf(c_54440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(intersection(X0,X1),X2),X1))
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_994]) ).
tcf(c_54441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,intersection(intersection(intersection(X1,X2),X3),X2))
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_34094,c_1094]) ).
tcf(c_54442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5)
| member(sK5(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),intersection(intersection(X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_34094,c_3116]) ).
tcf(c_54444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(intersection(X1,X2),X3)),X4)
| member(sK5(intersection(X0,intersection(intersection(X1,X2),X3)),X4),intersection(intersection(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34094,c_1915]) ).
tcf(c_54446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X3),X4)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X3),X4),intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_1580]) ).
tcf(c_54448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| member(sK5(intersection(intersection(X0,X1),X2),X3),intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34094,c_1210]) ).
tcf(c_54991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_12201]) ).
tcf(c_54992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X4)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_10326]) ).
tcf(c_54993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,X0)))),X7)
| member(sK5(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,X0)))),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50359,c_1913]) ).
tcf(c_54994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X4)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_7220]) ).
tcf(c_54995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X4)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_6977]) ).
tcf(c_54996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(X3,image3(X4,X5,X0))),X6),X7)
| member(sK5(intersection(intersection(X2,intersection(X3,image3(X4,X5,X0))),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50359,c_1578]) ).
tcf(c_54997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X4)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_2293]) ).
tcf(c_54998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X4)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_2222]) ).
tcf(c_55000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_1345]) ).
tcf(c_55001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_1284]) ).
tcf(c_55002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,image3(X2,X3,X4)))) ),
inference(superposition,[status(thm)],[c_50359,c_994]) ).
tcf(c_55004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,X7))))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,X7))))),X8),X6) ),
inference(superposition,[status(thm)],[c_50359,c_3116]) ).
tcf(c_55005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,X7))))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,X7))))),X8),X7) ),
inference(superposition,[status(thm)],[c_50359,c_3115]) ).
tcf(c_55006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,intersection(X5,X6))))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,intersection(X5,X6))))),X7),X5) ),
inference(superposition,[status(thm)],[c_50359,c_1915]) ).
tcf(c_55007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,intersection(X5,X6))))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,intersection(X5,X6))))),X7),X6) ),
inference(superposition,[status(thm)],[c_50359,c_1914]) ).
tcf(c_55008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_50359,c_1580]) ).
tcf(c_55009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,X5)))),X6),X7),X5) ),
inference(superposition,[status(thm)],[c_50359,c_1579]) ).
tcf(c_55012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8)),X1) ),
inference(superposition,[status(thm)],[c_50359,c_1917]) ).
tcf(c_55013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_50359,c_1582]) ).
tcf(c_55014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,image3(X6,X7,X8))))),X9)
| member(sK5(image3(X0,X1,intersection(X2,intersection(X3,image3(X4,X5,image3(X6,X7,X8))))),X9),X8) ),
inference(superposition,[status(thm)],[c_50359,c_3119]) ).
tcf(c_55015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9),X10)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9),X10)) ),
inference(superposition,[status(thm)],[c_50359,c_3176]) ).
tcf(c_55016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,image3(X7,X8,image3(X0,X1,X9)))))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,image3(X7,X8,image3(X0,X1,X9)))))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,image3(X7,X8,image3(X0,X1,X9)))))),X10)) ),
inference(superposition,[status(thm)],[c_50359,c_3175]) ).
tcf(c_55017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9)),sK5(image3(X2,X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8))))),X9)) ),
inference(superposition,[status(thm)],[c_50359,c_3117]) ).
tcf(c_55018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8)))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8)))))),X9)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(X5,image3(X6,X7,image3(X0,X1,X8)))))),X9)) ),
inference(superposition,[status(thm)],[c_50359,c_2952]) ).
tcf(c_55019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8)),X9)),sK5(intersection(X2,intersection(intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7)))),X8)),X9)) ),
inference(superposition,[status(thm)],[c_50359,c_2949]) ).
tcf(c_55020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8),X9)),sK5(intersection(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,image3(X0,X1,X7))))),X8),X9)) ),
inference(superposition,[status(thm)],[c_50359,c_2647]) ).
tcf(c_55021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8),X9)),sK5(intersection(intersection(intersection(X2,intersection(X3,image3(X4,X5,image3(X0,X1,X6)))),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_50359,c_2644]) ).
tcf(c_55022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,image3(X5,X6,X7))))),X8)
| member(sK5(intersection(X0,intersection(X1,intersection(X2,image3(X3,X4,image3(X5,X6,X7))))),X8),X7) ),
inference(superposition,[status(thm)],[c_50359,c_1918]) ).
tcf(c_55023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,X6)))),X7),X8)
| member(sK5(intersection(intersection(X0,intersection(X1,image3(X2,X3,image3(X4,X5,X6)))),X7),X8),X6) ),
inference(superposition,[status(thm)],[c_50359,c_1583]) ).
tcf(c_55029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(X1,image3(X2,X3,sK3))),sK1),
inference(superposition,[status(thm)],[c_50359,c_12385]) ).
tcf(c_55287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X3),
inference(superposition,[status(thm)],[c_2085,c_54]) ).
tcf(c_55289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK1)
| ~ subset(X3,sK3)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_2085,c_13224]) ).
tcf(c_55290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK3) ),
inference(superposition,[status(thm)],[c_2085,c_12924]) ).
tcf(c_55291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK4) ),
inference(superposition,[status(thm)],[c_2085,c_11170]) ).
tcf(c_55292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK4) ),
inference(superposition,[status(thm)],[c_2085,c_10956]) ).
tcf(c_55293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK4) ),
inference(superposition,[status(thm)],[c_2085,c_7357]) ).
tcf(c_55294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),sK3) ),
inference(superposition,[status(thm)],[c_2085,c_7083]) ).
tcf(c_55300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_53028]) ).
tcf(c_55301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_52443]) ).
tcf(c_55302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_51834]) ).
tcf(c_55303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_51436]) ).
tcf(c_55304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_48866]) ).
tcf(c_55305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_48507]) ).
tcf(c_55306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_48102]) ).
tcf(c_55307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_47495]) ).
tcf(c_55308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_47160]) ).
tcf(c_55309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_44179]) ).
tcf(c_55310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_43638]) ).
tcf(c_55311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_32612]) ).
tcf(c_55312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_32217]) ).
tcf(c_55313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_31666]) ).
tcf(c_55314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_31133]) ).
tcf(c_55315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_30462]) ).
tcf(c_55316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_27162]) ).
tcf(c_55317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_26639]) ).
tcf(c_55318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_23938]) ).
tcf(c_55319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_23466]) ).
tcf(c_55320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_23133]) ).
tcf(c_55321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_22748]) ).
tcf(c_55322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_21378]) ).
tcf(c_55323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_20984]) ).
tcf(c_55324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_17471]) ).
tcf(c_55325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_17052]) ).
tcf(c_55326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_14454]) ).
tcf(c_55327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_6414]) ).
tcf(c_55328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_6070]) ).
tcf(c_55329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_5860]) ).
tcf(c_55330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_5547]) ).
tcf(c_55331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_5271]) ).
tcf(c_55332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_4987]) ).
tcf(c_55333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_4986]) ).
tcf(c_55334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))) = sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)) ) ),
inference(superposition,[status(thm)],[c_2085,c_4945]) ).
tcf(c_55335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),intersection(X3,X5))
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),intersection(X3,X5)),X5) ),
inference(superposition,[status(thm)],[c_2085,c_1093]) ).
tcf(c_55336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4)
| member(sK5(intersection(X0,intersection(image3(X1,X2,sK3),X3)),X4),sK1) ),
inference(superposition,[status(thm)],[c_2085,c_15799]) ).
tcf(c_55338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK4),X3)),X4)
| member(sK5(intersection(X0,intersection(image3(X1,X2,sK4),X3)),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_11950]) ).
tcf(c_55339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK4),X3)),X4)
| member(sK5(intersection(X0,intersection(image3(X1,X2,sK4),X3)),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_11643]) ).
tcf(c_55340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,intersection(image3(X2,X3,sK4),X4)),X5)
| member(sK5(intersection(X1,intersection(image3(X2,X3,sK4),X4)),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2085,c_7948]) ).
tcf(c_55341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,intersection(image3(X2,X3,X4),X5)),X6)
| member(sK5(intersection(sK4,intersection(image3(X2,X3,X4),X5)),X6),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2085,c_25888]) ).
tcf(c_55342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(sK4,intersection(image3(X1,X2,X3),X4)),X5),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2085,c_18969]) ).
tcf(c_55343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(sK4,intersection(image3(X1,X2,X3),X4)),X5),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2085,c_18735]) ).
tcf(c_55344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),intersection(intersection(X0,intersection(image3(X1,X2,X3),X4)),X3)),
inference(superposition,[status(thm)],[c_2085,c_33831]) ).
tcf(c_55345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(X3,sK3)),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,sK3)),X4)),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,sK3)),X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_2085,c_13080]) ).
tcf(c_55346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(sK3,X3)),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(sK3,X3)),X4)),X5),sK1)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(sK3,X3)),X4)),X5),X6) ),
inference(superposition,[status(thm)],[c_2085,c_13482]) ).
tcf(c_55347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,sK3)),X5)),X6)
| member(sK5(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,sK3)),X5)),X6),sK1)
| ~ member(sK5(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,sK3)),X5)),X6),X7) ),
inference(superposition,[status(thm)],[c_2085,c_13755]) ).
tcf(c_55348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,intersection(image3(X1,X2,X3),X4)),intersection(X0,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2085,c_33866]) ).
tcf(c_55349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,intersection(image3(X1,X2,X3),X4)),intersection(X0,X3))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2085,c_33867]) ).
tcf(c_55350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(sK4,intersection(image3(X0,X1,X2),X3)),intersection(sK1,X2)),
inference(superposition,[status(thm)],[c_2085,c_42867]) ).
tcf(c_55669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X3)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_12201]) ).
tcf(c_55670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_10326]) ).
tcf(c_55671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X4,X5,X0),X6))),X7)
| member(sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,X0),X6))),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55287,c_1913]) ).
tcf(c_55672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_7220]) ).
tcf(c_55673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_6977]) ).
tcf(c_55674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,intersection(image3(X3,X4,X0),X5)),X6),X7)
| member(sK5(intersection(intersection(X2,intersection(image3(X3,X4,X0),X5)),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55287,c_1578]) ).
tcf(c_55675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_2293]) ).
tcf(c_55676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_2222]) ).
tcf(c_55678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_1345]) ).
tcf(c_55679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_1284]) ).
tcf(c_55680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(X0,intersection(image3(X1,X2,X3),X4))) ),
inference(superposition,[status(thm)],[c_55287,c_994]) ).
tcf(c_55682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,intersection(X5,X6)),X7))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,intersection(X5,X6)),X7))),X8),X5) ),
inference(superposition,[status(thm)],[c_55287,c_3116]) ).
tcf(c_55683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,intersection(X5,X6)),X7))),X8)
| member(sK5(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,intersection(X5,X6)),X7))),X8),X6) ),
inference(superposition,[status(thm)],[c_55287,c_3115]) ).
tcf(c_55684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(image3(X2,X3,intersection(X4,X5)),X6))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(image3(X2,X3,intersection(X4,X5)),X6))),X7),X4) ),
inference(superposition,[status(thm)],[c_55287,c_1915]) ).
tcf(c_55685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,intersection(image3(X2,X3,intersection(X4,X5)),X6))),X7)
| member(sK5(intersection(X0,intersection(X1,intersection(image3(X2,X3,intersection(X4,X5)),X6))),X7),X5) ),
inference(superposition,[status(thm)],[c_55287,c_1914]) ).
tcf(c_55686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_55287,c_1580]) ).
tcf(c_55687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6),X7)
| member(sK5(intersection(intersection(X0,intersection(image3(X1,X2,intersection(X3,X4)),X5)),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_55287,c_1579]) ).
tcf(c_55690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8)),X1) ),
inference(superposition,[status(thm)],[c_55287,c_1917]) ).
tcf(c_55691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_55287,c_1582]) ).
tcf(c_55692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,image3(X5,X6,X7)),X8))),X9)
| member(sK5(image3(X0,X1,intersection(X2,intersection(image3(X3,X4,image3(X5,X6,X7)),X8))),X9),X7) ),
inference(superposition,[status(thm)],[c_55287,c_3119]) ).
tcf(c_55693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9),X10)),sK5(intersection(image3(X2,X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9),X10)) ),
inference(superposition,[status(thm)],[c_55287,c_3176]) ).
tcf(c_55694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,intersection(image3(X6,X7,image3(X0,X1,X8)),X9)))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(image3(X6,X7,image3(X0,X1,X8)),X9)))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(X5,intersection(image3(X6,X7,image3(X0,X1,X8)),X9)))),X10)) ),
inference(superposition,[status(thm)],[c_55287,c_3175]) ).
tcf(c_55695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9)),sK5(image3(X2,X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8))),X9)) ),
inference(superposition,[status(thm)],[c_55287,c_3117]) ).
tcf(c_55696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8)))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8)))),X9)),sK5(intersection(X2,intersection(X3,intersection(X4,intersection(image3(X5,X6,image3(X0,X1,X7)),X8)))),X9)) ),
inference(superposition,[status(thm)],[c_55287,c_2952]) ).
tcf(c_55697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8)),X9)),sK5(intersection(X2,intersection(intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7)),X8)),X9)) ),
inference(superposition,[status(thm)],[c_55287,c_2949]) ).
tcf(c_55698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8),X9)),sK5(intersection(intersection(X2,intersection(X3,intersection(image3(X4,X5,image3(X0,X1,X6)),X7))),X8),X9)) ),
inference(superposition,[status(thm)],[c_55287,c_2647]) ).
tcf(c_55699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8),X9)),sK5(intersection(intersection(intersection(X2,intersection(image3(X3,X4,image3(X0,X1,X5)),X6)),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_55287,c_2644]) ).
tcf(c_55700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(X1,intersection(image3(X2,X3,image3(X4,X5,X6)),X7))),X8)
| member(sK5(intersection(X0,intersection(X1,intersection(image3(X2,X3,image3(X4,X5,X6)),X7))),X8),X6) ),
inference(superposition,[status(thm)],[c_55287,c_1918]) ).
tcf(c_55701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,X5)),X6)),X7),X8)
| member(sK5(intersection(intersection(X0,intersection(image3(X1,X2,image3(X3,X4,X5)),X6)),X7),X8),X5) ),
inference(superposition,[status(thm)],[c_55287,c_1583]) ).
tcf(c_55707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,intersection(image3(X1,X2,sK3),X3)),sK1),
inference(superposition,[status(thm)],[c_55287,c_12385]) ).
tcf(c_55810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X2,X3,X0),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2780,c_54]) ).
tcf(c_55812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(X6,sK3)
| ~ subset(X2,X6)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_2780,c_13224]) ).
tcf(c_55813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(X2,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_2780,c_12924]) ).
tcf(c_55814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X2,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_2780,c_11170]) ).
tcf(c_55815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X2,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_2780,c_10956]) ).
tcf(c_55816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),X6)
| ~ subset(sK1,X6)
| ~ subset(X2,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK4) ),
inference(superposition,[status(thm)],[c_2780,c_7357]) ).
tcf(c_55817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),X6)
| ~ subset(sK1,X6)
| ~ subset(X2,X5)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK3) ),
inference(superposition,[status(thm)],[c_2780,c_7083]) ).
tcf(c_55823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_53028]) ).
tcf(c_55824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_52443]) ).
tcf(c_55825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_51834]) ).
tcf(c_55826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_51436]) ).
tcf(c_55827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_48866]) ).
tcf(c_55828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_48507]) ).
tcf(c_55829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_48102]) ).
tcf(c_55830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_47495]) ).
tcf(c_55831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_47160]) ).
tcf(c_55832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_44179]) ).
tcf(c_55833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_43638]) ).
tcf(c_55834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_32612]) ).
tcf(c_55835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_32217]) ).
tcf(c_55836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_31666]) ).
tcf(c_55837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_31133]) ).
tcf(c_55838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_30462]) ).
tcf(c_55839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_27162]) ).
tcf(c_55840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_26639]) ).
tcf(c_55841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_23938]) ).
tcf(c_55842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_23466]) ).
tcf(c_55843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_23133]) ).
tcf(c_55844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_22748]) ).
tcf(c_55845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_21378]) ).
tcf(c_55846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_20984]) ).
tcf(c_55847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_17471]) ).
tcf(c_55848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_17052]) ).
tcf(c_55849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_14454]) ).
tcf(c_55850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_6414]) ).
tcf(c_55851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_6070]) ).
tcf(c_55852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_5860]) ).
tcf(c_55853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_5547]) ).
tcf(c_55854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_5271]) ).
tcf(c_55855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_4987]) ).
tcf(c_55856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_4986]) ).
tcf(c_55857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))) = sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_4945]) ).
tcf(c_55858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),intersection(X4,X5))
| ~ subset(X2,X4)
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),intersection(X4,X5)),X5) ),
inference(superposition,[status(thm)],[c_2780,c_1093]) ).
tcf(c_55859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| member(sK5(intersection(image3(X1,X2,X0),X3),X4),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2780,c_15799]) ).
tcf(c_55861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| member(sK5(intersection(image3(X1,X2,X0),X3),X4),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2780,c_11950]) ).
tcf(c_55862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| member(sK5(intersection(image3(X1,X2,X0),X3),X4),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2780,c_11643]) ).
tcf(c_55863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X2,X3,X0),X4),X5)
| member(sK5(intersection(image3(X2,X3,X0),X4),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2780,c_7948]) ).
tcf(c_55864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X2,X3,X0),X4),intersection(intersection(image3(X2,X3,X0),X4),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2780,c_33831]) ).
tcf(c_55865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(X2,intersection(X6,sK3))
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_2780,c_13080]) ).
tcf(c_55866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(X2,intersection(sK3,X6))
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_2780,c_13482]) ).
tcf(c_55867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),sK1)
| ~ subset(X2,image3(X6,X7,sK3))
| ~ member(sK5(intersection(image3(X0,X1,X2),X3),X4),X5) ),
inference(superposition,[status(thm)],[c_2780,c_13755]) ).
tcf(c_56447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),intersection(sK1,X0))
| ~ subset(X2,sK3)
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_12201]) ).
tcf(c_56448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_10326]) ).
tcf(c_56449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK4,intersection(X0,X3))),X4)
| member(sK5(intersection(X2,intersection(sK4,intersection(X0,X3))),X4),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42882,c_1913]) ).
tcf(c_56450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_7220]) ).
tcf(c_56451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_6977]) ).
tcf(c_56452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,intersection(X0,X2)),X3),X4)
| member(sK5(intersection(intersection(sK4,intersection(X0,X2)),X3),X4),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42882,c_1578]) ).
tcf(c_56453,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_2293]) ).
tcf(c_56454,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(sK1,X0))
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_2222]) ).
tcf(c_56455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,intersection(X0,X2)),X3)
| member(sK5(intersection(sK4,intersection(X0,X2)),X3),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42882,c_1208]) ).
tcf(c_56456,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X0))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_1345]) ).
tcf(c_56457,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X0))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_1284]) ).
tcf(c_56458,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(sK1,X0))
| ~ member(X2,sK1)
| ~ subset(sK2,intersection(sK4,intersection(X0,X1))) ),
inference(superposition,[status(thm)],[c_42882,c_994]) ).
tcf(c_56459,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(sK1,X1))
| ~ member(X0,sK4)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_42882,c_1094]) ).
tcf(c_56461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,intersection(sK4,intersection(X2,X3))),X4)
| member(sK5(image3(X0,X1,intersection(sK4,intersection(X2,X3))),X4),X2) ),
inference(superposition,[status(thm)],[c_42882,c_3115]) ).
tcf(c_56463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(sK4,intersection(X1,X2))),X3)
| member(sK5(intersection(X0,intersection(sK4,intersection(X1,X2))),X3),X1) ),
inference(superposition,[status(thm)],[c_42882,c_1914]) ).
tcf(c_56465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK4,intersection(X0,X1)),X2),X3)
| member(sK5(intersection(intersection(sK4,intersection(X0,X1)),X2),X3),X0) ),
inference(superposition,[status(thm)],[c_42882,c_1579]) ).
tcf(c_56467,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(sK4,intersection(X0,X1)),X2)
| member(sK5(intersection(sK4,intersection(X0,X1)),X2),X0) ),
inference(superposition,[status(thm)],[c_42882,c_1209]) ).
tcf(c_56518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),intersection(sK1,X2))
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_12201]) ).
tcf(c_56519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(sK1,X2))
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_10326]) ).
tcf(c_56520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,intersection(sK4,image3(X3,X4,X0))),X5)
| member(sK5(intersection(X2,intersection(sK4,image3(X3,X4,X0))),X5),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42883,c_1913]) ).
tcf(c_56521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(sK1,X2))
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_7220]) ).
tcf(c_56522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(sK1,X2))
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_6977]) ).
tcf(c_56523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(sK4,image3(X2,X3,X0)),X4),X5)
| member(sK5(intersection(intersection(sK4,image3(X2,X3,X0)),X4),X5),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42883,c_1578]) ).
tcf(c_56524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(sK1,X2))
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_2293]) ).
tcf(c_56525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(sK1,X2))
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_2222]) ).
tcf(c_56526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,image3(X2,X3,X0)),X4)
| member(sK5(intersection(sK4,image3(X2,X3,X0)),X4),X1)
| ~ subset(intersection(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_42883,c_1208]) ).
tcf(c_56527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(sK1,X2))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_1345]) ).
tcf(c_56528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(sK1,X2))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_1284]) ).
tcf(c_56529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(sK1,X2))
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(sK4,image3(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_42883,c_994]) ).
tcf(c_56530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,intersection(sK1,X3))
| ~ member(X0,sK4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_42883,c_1094]) ).
tcf(c_56531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(sK4,image3(X2,X3,X4))),X5)
| member(sK5(image3(X0,X1,intersection(sK4,image3(X2,X3,X4))),X5),sK1) ),
inference(superposition,[status(thm)],[c_42883,c_3116]) ).
tcf(c_56532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,intersection(sK4,image3(X2,X3,X4))),X5)
| member(sK5(image3(X0,X1,intersection(sK4,image3(X2,X3,X4))),X5),X4) ),
inference(superposition,[status(thm)],[c_42883,c_3115]) ).
tcf(c_56533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(sK4,image3(X1,X2,X3))),X4)
| member(sK5(intersection(X0,intersection(sK4,image3(X1,X2,X3))),X4),sK1) ),
inference(superposition,[status(thm)],[c_42883,c_1915]) ).
tcf(c_56534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(sK4,image3(X1,X2,X3))),X4)
| member(sK5(intersection(X0,intersection(sK4,image3(X1,X2,X3))),X4),X3) ),
inference(superposition,[status(thm)],[c_42883,c_1914]) ).
tcf(c_56535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,image3(X0,X1,X2)),X3),X4)
| member(sK5(intersection(intersection(sK4,image3(X0,X1,X2)),X3),X4),sK1) ),
inference(superposition,[status(thm)],[c_42883,c_1580]) ).
tcf(c_56536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK4,image3(X0,X1,X2)),X3),X4)
| member(sK5(intersection(intersection(sK4,image3(X0,X1,X2)),X3),X4),X2) ),
inference(superposition,[status(thm)],[c_42883,c_1579]) ).
tcf(c_56537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,image3(X0,X1,X2)),X3)
| member(sK5(intersection(sK4,image3(X0,X1,X2)),X3),sK1) ),
inference(superposition,[status(thm)],[c_42883,c_1210]) ).
tcf(c_56538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,image3(X0,X1,X2)),X3)
| member(sK5(intersection(sK4,image3(X0,X1,X2)),X3),X2) ),
inference(superposition,[status(thm)],[c_42883,c_1209]) ).
tcf(c_56833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_12201]) ).
tcf(c_56834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_10326]) ).
tcf(c_56835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(intersection(X2,image3(X3,X4,sK3)),X5)),X6)
| member(sK5(intersection(X1,intersection(intersection(X2,image3(X3,X4,sK3)),X5)),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_45767,c_1913]) ).
tcf(c_56836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_7220]) ).
tcf(c_56837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_6977]) ).
tcf(c_56838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(X1,image3(X2,X3,sK3)),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(X1,image3(X2,X3,sK3)),X4),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_45767,c_1578]) ).
tcf(c_56839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_2293]) ).
tcf(c_56840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_2222]) ).
tcf(c_56842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_1345]) ).
tcf(c_56843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_1284]) ).
tcf(c_56844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(intersection(X0,image3(X1,X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_45767,c_994]) ).
tcf(c_56845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,intersection(X1,image3(X2,X3,sK3))) ),
inference(superposition,[status(thm)],[c_45767,c_1094]) ).
tcf(c_56888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_12201]) ).
tcf(c_56889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_10326]) ).
tcf(c_56890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(intersection(image3(X2,X3,sK3),X4),X5)),X6)
| member(sK5(intersection(X1,intersection(intersection(image3(X2,X3,sK3),X4),X5)),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_50012,c_1913]) ).
tcf(c_56891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_7220]) ).
tcf(c_56892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_6977]) ).
tcf(c_56893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(intersection(image3(X1,X2,sK3),X3),X4),X5),X6)
| member(sK5(intersection(intersection(intersection(image3(X1,X2,sK3),X3),X4),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_50012,c_1578]) ).
tcf(c_56894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_2293]) ).
tcf(c_56895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_2222]) ).
tcf(c_56897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_1345]) ).
tcf(c_56898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_1284]) ).
tcf(c_56899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(intersection(image3(X0,X1,sK3),X2),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_994]) ).
tcf(c_56900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,intersection(image3(X1,X2,sK3),X3)) ),
inference(superposition,[status(thm)],[c_50012,c_1094]) ).
tcf(c_56951,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_53494]) ).
tcf(c_56952,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_53494]) ).
tcf(c_56953,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_53494]) ).
tcf(c_56954,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_53494]) ).
tcf(c_56955,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_53494]) ).
tcf(c_56956,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_53494]) ).
tcf(c_56957,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_53494]) ).
tcf(c_56958,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_53494]) ).
tcf(c_56959,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_53494]) ).
tcf(c_56960,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_53494]) ).
tcf(c_56961,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_53494]) ).
tcf(c_56962,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_53494]) ).
tcf(c_56963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_53494]) ).
tcf(c_56964,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_53494]) ).
tcf(c_56965,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_53494]) ).
tcf(c_56966,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_53494]) ).
tcf(c_56967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_53494]) ).
tcf(c_56968,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_53494]) ).
tcf(c_56969,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_53494]) ).
tcf(c_56970,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_53494]) ).
tcf(c_56971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_53494]) ).
tcf(c_56972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_53494]) ).
tcf(c_56973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_53494]) ).
tcf(c_56974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_53494]) ).
tcf(c_56975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_53494]) ).
tcf(c_56976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_53494]) ).
tcf(c_56977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_53494]) ).
tcf(c_56978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_53494]) ).
tcf(c_56979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_53494]) ).
tcf(c_56980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_53494]) ).
tcf(c_56981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_53494]) ).
tcf(c_56982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_53494]) ).
tcf(c_56983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_53494]) ).
tcf(c_56984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_53494]) ).
tcf(c_56985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_53494]) ).
tcf(c_56986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_53494]) ).
tcf(c_56987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_53494]) ).
tcf(c_56988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_53494]) ).
tcf(c_56989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_53494]) ).
tcf(c_56990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_53494]) ).
tcf(c_56991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_53494]) ).
tcf(c_56992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_53494]) ).
tcf(c_56993,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_53494]) ).
tcf(c_56994,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_53494]) ).
tcf(c_56995,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_53494]) ).
tcf(c_56996,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_53494]) ).
tcf(c_56997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_53494]) ).
tcf(c_56998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_53494]) ).
tcf(c_56999,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_53494]) ).
tcf(c_57000,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_53494]) ).
tcf(c_57001,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_53494]) ).
tcf(c_57002,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_53494]) ).
tcf(c_57003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_53494]) ).
tcf(c_57004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_53494]) ).
tcf(c_57005,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_53494]) ).
tcf(c_57006,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_53494]) ).
tcf(c_57007,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_53494]) ).
tcf(c_57008,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_53494]) ).
tcf(c_57009,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_53494]) ).
tcf(c_57012,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_53494]) ).
tcf(c_57013,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_53494]) ).
tcf(c_57076,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57006,c_927]) ).
tcf(c_57467,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_53850]) ).
tcf(c_57468,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_53850]) ).
tcf(c_57469,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_53850]) ).
tcf(c_57470,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_53850]) ).
tcf(c_57471,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_53850]) ).
tcf(c_57472,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_53850]) ).
tcf(c_57474,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_53850]) ).
tcf(c_57475,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_53850]) ).
tcf(c_57476,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_53850]) ).
tcf(c_57477,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_53850]) ).
tcf(c_57478,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_53850]) ).
tcf(c_57479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_53850]) ).
tcf(c_57481,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_53850]) ).
tcf(c_57482,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_53850]) ).
tcf(c_57483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_53850]) ).
tcf(c_57484,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_53850]) ).
tcf(c_57485,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_53850]) ).
tcf(c_57486,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_53850]) ).
tcf(c_57487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_53850]) ).
tcf(c_57488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_53850]) ).
tcf(c_57489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_53850]) ).
tcf(c_57490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_53850]) ).
tcf(c_57491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_53850]) ).
tcf(c_57492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_53850]) ).
tcf(c_57493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_53850]) ).
tcf(c_57494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_53850]) ).
tcf(c_57495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_53850]) ).
tcf(c_57496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_53850]) ).
tcf(c_57497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_53850]) ).
tcf(c_57498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_53850]) ).
tcf(c_57499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_53850]) ).
tcf(c_57500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_53850]) ).
tcf(c_57501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_53850]) ).
tcf(c_57502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_53850]) ).
tcf(c_57503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_53850]) ).
tcf(c_57504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_53850]) ).
tcf(c_57505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_53850]) ).
tcf(c_57506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_53850]) ).
tcf(c_57507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_53850]) ).
tcf(c_57508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_53850]) ).
tcf(c_57509,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_53850]) ).
tcf(c_57510,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_53850]) ).
tcf(c_57511,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_53850]) ).
tcf(c_57512,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_53850]) ).
tcf(c_57513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_53850]) ).
tcf(c_57514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_53850]) ).
tcf(c_57515,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_53850]) ).
tcf(c_57516,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_53850]) ).
tcf(c_57517,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_53850]) ).
tcf(c_57518,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_53850]) ).
tcf(c_57519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_53850]) ).
tcf(c_57520,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_53850]) ).
tcf(c_57521,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_53850]) ).
tcf(c_57522,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_53850]) ).
tcf(c_57523,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_53850]) ).
tcf(c_57524,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_53850]) ).
tcf(c_57525,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_53850]) ).
tcf(c_57528,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_53850]) ).
tcf(c_57529,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_53850]) ).
tcf(c_57588,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57522,c_927]) ).
tcf(c_57932,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_56964]) ).
tcf(c_57933,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_56964]) ).
tcf(c_57934,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_56964]) ).
tcf(c_57935,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_56964]) ).
tcf(c_57936,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_56964]) ).
tcf(c_57937,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_56964]) ).
tcf(c_57938,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_56964]) ).
tcf(c_57939,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_56964]) ).
tcf(c_57940,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_56964]) ).
tcf(c_57941,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_56964]) ).
tcf(c_57942,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_56964]) ).
tcf(c_57943,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_56964]) ).
tcf(c_57944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_56964]) ).
tcf(c_57945,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_56964]) ).
tcf(c_57946,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_56964]) ).
tcf(c_57947,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_56964]) ).
tcf(c_57948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_56964]) ).
tcf(c_57949,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_56964]) ).
tcf(c_57950,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_56964]) ).
tcf(c_57951,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_56964]) ).
tcf(c_57952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_56964]) ).
tcf(c_57953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_56964]) ).
tcf(c_57954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_56964]) ).
tcf(c_57955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_56964]) ).
tcf(c_57956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_56964]) ).
tcf(c_57957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_56964]) ).
tcf(c_57958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_56964]) ).
tcf(c_57959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_56964]) ).
tcf(c_57960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_56964]) ).
tcf(c_57961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_56964]) ).
tcf(c_57962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_56964]) ).
tcf(c_57963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_56964]) ).
tcf(c_57964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_56964]) ).
tcf(c_57965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_56964]) ).
tcf(c_57966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_56964]) ).
tcf(c_57967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_56964]) ).
tcf(c_57968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_56964]) ).
tcf(c_57969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_56964]) ).
tcf(c_57970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_56964]) ).
tcf(c_57971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_56964]) ).
tcf(c_57972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_56964]) ).
tcf(c_57973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_56964]) ).
tcf(c_57974,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_56964]) ).
tcf(c_57975,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_56964]) ).
tcf(c_57976,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_56964]) ).
tcf(c_57977,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_56964]) ).
tcf(c_57978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_56964]) ).
tcf(c_57979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_56964]) ).
tcf(c_57980,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_56964]) ).
tcf(c_57981,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_56964]) ).
tcf(c_57982,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_56964]) ).
tcf(c_57983,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_56964]) ).
tcf(c_57984,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_56964]) ).
tcf(c_57985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_56964]) ).
tcf(c_57986,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_56964]) ).
tcf(c_57987,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_56964]) ).
tcf(c_57988,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_56964]) ).
tcf(c_57989,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_56964]) ).
tcf(c_57990,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_56964]) ).
tcf(c_57993,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_56964]) ).
tcf(c_57994,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_56964]) ).
tcf(c_58057,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57987,c_927]) ).
tcf(c_58298,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_57481]) ).
tcf(c_58299,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_57481]) ).
tcf(c_58300,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_57481]) ).
tcf(c_58301,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_57481]) ).
tcf(c_58302,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_57481]) ).
tcf(c_58303,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_57481]) ).
tcf(c_58305,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_57481]) ).
tcf(c_58306,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_57481]) ).
tcf(c_58307,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_57481]) ).
tcf(c_58308,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_57481]) ).
tcf(c_58309,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_57481]) ).
tcf(c_58310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_57481]) ).
tcf(c_58312,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_57481]) ).
tcf(c_58313,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_57481]) ).
tcf(c_58314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_57481]) ).
tcf(c_58315,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_57481]) ).
tcf(c_58316,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_57481]) ).
tcf(c_58317,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_57481]) ).
tcf(c_58318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_57481]) ).
tcf(c_58319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_57481]) ).
tcf(c_58320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_57481]) ).
tcf(c_58321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_57481]) ).
tcf(c_58322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_57481]) ).
tcf(c_58323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_57481]) ).
tcf(c_58324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_57481]) ).
tcf(c_58325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_57481]) ).
tcf(c_58326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_57481]) ).
tcf(c_58327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_57481]) ).
tcf(c_58328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_57481]) ).
tcf(c_58329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_57481]) ).
tcf(c_58330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_57481]) ).
tcf(c_58331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_57481]) ).
tcf(c_58332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_57481]) ).
tcf(c_58333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_57481]) ).
tcf(c_58334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_57481]) ).
tcf(c_58335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_57481]) ).
tcf(c_58336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_57481]) ).
tcf(c_58337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_57481]) ).
tcf(c_58338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_57481]) ).
tcf(c_58339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_57481]) ).
tcf(c_58340,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_57481]) ).
tcf(c_58341,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_57481]) ).
tcf(c_58342,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_57481]) ).
tcf(c_58343,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_57481]) ).
tcf(c_58344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_57481]) ).
tcf(c_58345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_57481]) ).
tcf(c_58346,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_57481]) ).
tcf(c_58347,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_57481]) ).
tcf(c_58348,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_57481]) ).
tcf(c_58349,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_57481]) ).
tcf(c_58350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_57481]) ).
tcf(c_58351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_57481]) ).
tcf(c_58352,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_57481]) ).
tcf(c_58353,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_57481]) ).
tcf(c_58354,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_57481]) ).
tcf(c_58355,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_57481]) ).
tcf(c_58356,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_57481]) ).
tcf(c_58359,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_57481]) ).
tcf(c_58360,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_57481]) ).
tcf(c_58419,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58353,c_927]) ).
tcf(c_59116,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_57945]) ).
tcf(c_59117,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_57945]) ).
tcf(c_59118,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_57945]) ).
tcf(c_59119,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_57945]) ).
tcf(c_59120,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_57945]) ).
tcf(c_59121,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_57945]) ).
tcf(c_59122,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_57945]) ).
tcf(c_59123,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_57945]) ).
tcf(c_59124,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_57945]) ).
tcf(c_59125,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_57945]) ).
tcf(c_59126,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_57945]) ).
tcf(c_59127,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_57945]) ).
tcf(c_59128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_57945]) ).
tcf(c_59129,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_57945]) ).
tcf(c_59130,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_57945]) ).
tcf(c_59131,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_57945]) ).
tcf(c_59132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_57945]) ).
tcf(c_59133,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_57945]) ).
tcf(c_59134,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_57945]) ).
tcf(c_59135,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_57945]) ).
tcf(c_59136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_57945]) ).
tcf(c_59137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_57945]) ).
tcf(c_59138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_57945]) ).
tcf(c_59139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_57945]) ).
tcf(c_59140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_57945]) ).
tcf(c_59141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_57945]) ).
tcf(c_59142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_57945]) ).
tcf(c_59143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_57945]) ).
tcf(c_59144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_57945]) ).
tcf(c_59145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_57945]) ).
tcf(c_59146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_57945]) ).
tcf(c_59147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_57945]) ).
tcf(c_59148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_57945]) ).
tcf(c_59149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_57945]) ).
tcf(c_59150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_57945]) ).
tcf(c_59151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_57945]) ).
tcf(c_59152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_57945]) ).
tcf(c_59153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_57945]) ).
tcf(c_59154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_57945]) ).
tcf(c_59155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_57945]) ).
tcf(c_59156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_57945]) ).
tcf(c_59157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_57945]) ).
tcf(c_59158,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_57945]) ).
tcf(c_59159,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_57945]) ).
tcf(c_59160,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_57945]) ).
tcf(c_59161,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_57945]) ).
tcf(c_59162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_57945]) ).
tcf(c_59163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_57945]) ).
tcf(c_59164,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_57945]) ).
tcf(c_59165,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_57945]) ).
tcf(c_59166,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_57945]) ).
tcf(c_59167,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_57945]) ).
tcf(c_59168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_57945]) ).
tcf(c_59169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_57945]) ).
tcf(c_59170,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_57945]) ).
tcf(c_59171,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_57945]) ).
tcf(c_59172,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_57945]) ).
tcf(c_59173,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_57945]) ).
tcf(c_59174,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_57945]) ).
tcf(c_59177,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_57945]) ).
tcf(c_59178,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_57945]) ).
tcf(c_59241,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59171,c_927]) ).
tcf(c_59465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK5(X3,X4),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(X3,sK3)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_12201]) ).
tcf(c_59466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,sK3),X4)
| member(sK5(intersection(X3,sK3),X4),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_10326]) ).
tcf(c_59467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,intersection(intersection(X0,X1),X2)),X5)
| member(sK5(intersection(X4,intersection(intersection(X0,X1),X2)),X5),X3)
| ~ subset(intersection(intersection(intersection(X0,X1),X2),X0),X3) ),
inference(superposition,[status(thm)],[c_34095,c_1913]) ).
tcf(c_59468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,X3),X4)
| member(sK5(intersection(sK4,X3),X4),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_7220]) ).
tcf(c_59469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,X3),X4)
| member(sK5(intersection(sK3,X3),X4),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_6977]) ).
tcf(c_59470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(intersection(X0,X1),X2),X4),X5)
| member(sK5(intersection(intersection(intersection(X0,X1),X2),X4),X5),X3)
| ~ subset(intersection(intersection(intersection(X0,X1),X2),X0),X3) ),
inference(superposition,[status(thm)],[c_34095,c_1578]) ).
tcf(c_59471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4,X3)
| member(sK5(sK4,X3),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_2293]) ).
tcf(c_59472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK5(sK3,X3),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_2222]) ).
tcf(c_59473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,X1),X2),X4)
| member(sK5(intersection(intersection(X0,X1),X2),X4),X3)
| ~ subset(intersection(intersection(intersection(X0,X1),X2),X0),X3) ),
inference(superposition,[status(thm)],[c_34095,c_1208]) ).
tcf(c_59474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK2,sK4)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_1345]) ).
tcf(c_59475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ subset(sK2,sK3)
| ~ member(X3,sK1)
| ~ subset(sK1,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_1284]) ).
tcf(c_59476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,sK2,X3),intersection(intersection(intersection(X0,X1),X2),X0))
| ~ member(X3,sK1)
| ~ subset(sK2,intersection(intersection(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_34095,c_994]) ).
tcf(c_59477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,intersection(intersection(intersection(X1,X2),X3),X1))
| ~ member(X0,X3)
| ~ member(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_34095,c_1094]) ).
tcf(c_59587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_12201]) ).
tcf(c_59588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X4)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_10326]) ).
tcf(c_59589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,intersection(image3(X4,X5,X0),X6)),X7)
| member(sK5(intersection(X3,intersection(image3(X4,X5,X0),X6)),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55810,c_1913]) ).
tcf(c_59590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X4)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_7220]) ).
tcf(c_59591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X4)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_6977]) ).
tcf(c_59592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X3,X4,X0),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X3,X4,X0),X5),X6),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_55810,c_1578]) ).
tcf(c_59593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X4)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_2293]) ).
tcf(c_59594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X4)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_2222]) ).
tcf(c_59596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1345]) ).
tcf(c_59597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(X2,X4)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1284]) ).
tcf(c_59598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(X2,X4)
| ~ subset(sK2,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_55810,c_994]) ).
tcf(c_59599,plain,
( ~ subset(sK2,image3(sK0,intersection(sK3,sK4),sK2))
| ~ subset(image3(sK0,intersection(sK3,sK4),sK2),intersection(image3(sK0,sK3,sK2),image3(sK0,sK4,sK2))) ),
inference(superposition,[status(thm)],[c_55810,c_290]) ).
tcf(c_59600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,X4)
| ~ member(X0,X5)
| ~ subset(X3,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1094]) ).
tcf(c_59601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X3,X4,intersection(image3(X5,X6,X0),X7)),X8)
| member(sK5(image3(X3,X4,intersection(image3(X5,X6,X0),X7)),X8),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_55810,c_3116]) ).
tcf(c_59602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X3,X4,intersection(image3(X5,X6,X0),X7)),X8)
| member(sK5(image3(X3,X4,intersection(image3(X5,X6,X0),X7)),X8),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_55810,c_3115]) ).
tcf(c_59603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,intersection(image3(X4,X5,X0),X6)),X7)
| member(sK5(intersection(X3,intersection(image3(X4,X5,X0),X6)),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_55810,c_1915]) ).
tcf(c_59604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,intersection(image3(X4,X5,X0),X6)),X7)
| member(sK5(intersection(X3,intersection(image3(X4,X5,X0),X6)),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_55810,c_1914]) ).
tcf(c_59605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X3,X4,X0),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X3,X4,X0),X5),X6),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_55810,c_1580]) ).
tcf(c_59606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X3,X4,X0),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X3,X4,X0),X5),X6),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_55810,c_1579]) ).
tcf(c_59609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1917]) ).
tcf(c_59610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X4,X5,X0),X6),X7),X8)
| member(sK7(X1,X2,sK5(intersection(intersection(image3(X4,X5,X0),X6),X7),X8)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1582]) ).
tcf(c_59611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9)
| member(sK5(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_3119]) ).
tcf(c_59612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9),X10)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9),X10)),sK5(intersection(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9),X10))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_3176]) ).
tcf(c_59613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(image3(X7,X8,X0),X9))),X10)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(image3(X7,X8,X0),X9))),X10)),sK5(intersection(X4,image3(X5,X6,intersection(image3(X7,X8,X0),X9))),X10))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_3175]) ).
tcf(c_59614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9)),sK5(image3(X4,X5,intersection(image3(X6,X7,X0),X8)),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_3117]) ).
tcf(c_59615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,intersection(X5,intersection(image3(X6,X7,X0),X8))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(image3(X6,X7,X0),X8))),X9)),sK5(intersection(X4,intersection(X5,intersection(image3(X6,X7,X0),X8))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_2952]) ).
tcf(c_59616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,intersection(intersection(image3(X5,X6,X0),X7),X8)),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(image3(X5,X6,X0),X7),X8)),X9)),sK5(intersection(X4,intersection(intersection(image3(X5,X6,X0),X7),X8)),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_2949]) ).
tcf(c_59617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8),X9)),sK5(intersection(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_2647]) ).
tcf(c_59618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(image3(X4,X5,X0),X6),X7),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(image3(X4,X5,X0),X6),X7),X8),X9)),sK5(intersection(intersection(intersection(image3(X4,X5,X0),X6),X7),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_2644]) ).
tcf(c_59619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8)
| member(sK5(intersection(X4,intersection(image3(X5,X6,X0),X7)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1918]) ).
tcf(c_59620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X4,X5,X0),X6),X7),X8)
| member(sK5(intersection(intersection(image3(X4,X5,X0),X6),X7),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_1583]) ).
tcf(c_59626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X1,X2,X0),X3),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_55810,c_12385]) ).
tcf(c_59627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,sK1)
| ~ subset(X3,sK3)
| ~ member(X0,X5)
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_55810,c_29991]) ).
tcf(c_59898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X3),
inference(superposition,[status(thm)],[c_2781,c_54]) ).
tcf(c_59900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK1)
| ~ subset(X3,sK3)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_2781,c_13224]) ).
tcf(c_59901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK3) ),
inference(superposition,[status(thm)],[c_2781,c_12924]) ).
tcf(c_59902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_2781,c_11170]) ).
tcf(c_59903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_2781,c_10956]) ).
tcf(c_59904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK4) ),
inference(superposition,[status(thm)],[c_2781,c_7357]) ).
tcf(c_59905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK3) ),
inference(superposition,[status(thm)],[c_2781,c_7083]) ).
tcf(c_59911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_57945]) ).
tcf(c_59912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_57481]) ).
tcf(c_59913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_56964]) ).
tcf(c_59914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_53850]) ).
tcf(c_59915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_53494]) ).
tcf(c_59916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_53028]) ).
tcf(c_59917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_52443]) ).
tcf(c_59918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_51834]) ).
tcf(c_59919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_51436]) ).
tcf(c_59920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_48866]) ).
tcf(c_59921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_48507]) ).
tcf(c_59922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_48102]) ).
tcf(c_59923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_47495]) ).
tcf(c_59924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_47160]) ).
tcf(c_59925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_44179]) ).
tcf(c_59926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_43638]) ).
tcf(c_59927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_32612]) ).
tcf(c_59928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_32217]) ).
tcf(c_59929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_31666]) ).
tcf(c_59930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_31133]) ).
tcf(c_59931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_30462]) ).
tcf(c_59932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_27162]) ).
tcf(c_59933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_26639]) ).
tcf(c_59934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_23938]) ).
tcf(c_59935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_23466]) ).
tcf(c_59936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_23133]) ).
tcf(c_59937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_22748]) ).
tcf(c_59938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_21378]) ).
tcf(c_59939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_20984]) ).
tcf(c_59940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_17471]) ).
tcf(c_59941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_17052]) ).
tcf(c_59942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_14454]) ).
tcf(c_59943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_6414]) ).
tcf(c_59944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_6070]) ).
tcf(c_59945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_5860]) ).
tcf(c_59946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_5547]) ).
tcf(c_59947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_5271]) ).
tcf(c_59948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_4987]) ).
tcf(c_59949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_4986]) ).
tcf(c_59950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))) = sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)) ) ),
inference(superposition,[status(thm)],[c_2781,c_4945]) ).
tcf(c_59951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),intersection(X3,X5))
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),intersection(X3,X5)),X5) ),
inference(superposition,[status(thm)],[c_2781,c_1093]) ).
tcf(c_59952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(X2,sK3)),X3),X4),sK1) ),
inference(superposition,[status(thm)],[c_2781,c_15799]) ).
tcf(c_59954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK4)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(X2,sK4)),X3),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_11950]) ).
tcf(c_59955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK4)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(X2,sK4)),X3),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_11643]) ).
tcf(c_59956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X1,X2,intersection(X3,sK4)),X4),X5)
| member(sK5(intersection(image3(X1,X2,intersection(X3,sK4)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2781,c_7948]) ).
tcf(c_59957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X3)),
inference(superposition,[status(thm)],[c_2781,c_33831]) ).
tcf(c_59958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,intersection(X3,sK3))),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,intersection(X3,sK3))),X4),X5),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,intersection(X3,sK3))),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_2781,c_13080]) ).
tcf(c_59959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,intersection(sK3,X3))),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,intersection(sK3,X3))),X4),X5),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,intersection(sK3,X3))),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_2781,c_13482]) ).
tcf(c_59960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,sK3))),X5),X6)
| member(sK5(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,sK3))),X5),X6),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,sK3))),X5),X6),X7) ),
inference(superposition,[status(thm)],[c_2781,c_13755]) ).
tcf(c_60394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X3)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_12201]) ).
tcf(c_60395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_10326]) ).
tcf(c_60396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,intersection(X5,X0)),X6)),X7)
| member(sK5(intersection(X2,intersection(image3(X3,X4,intersection(X5,X0)),X6)),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_59898,c_1913]) ).
tcf(c_60397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_7220]) ).
tcf(c_60398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_6977]) ).
tcf(c_60399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X2,X3,intersection(X4,X0)),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X2,X3,intersection(X4,X0)),X5),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_59898,c_1578]) ).
tcf(c_60400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_2293]) ).
tcf(c_60401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_2222]) ).
tcf(c_60403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_1345]) ).
tcf(c_60404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_1284]) ).
tcf(c_60405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_59898,c_994]) ).
tcf(c_60406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,X4)
| ~ member(X0,X5)
| ~ member(X0,image3(X1,X2,intersection(X3,X4))) ),
inference(superposition,[status(thm)],[c_59898,c_1094]) ).
tcf(c_60407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,intersection(X5,X6))),X7)),X8)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,intersection(X5,X6))),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_59898,c_3116]) ).
tcf(c_60408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,intersection(X5,X6))),X7)),X8)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,intersection(X5,X6))),X7)),X8),X6) ),
inference(superposition,[status(thm)],[c_59898,c_3115]) ).
tcf(c_60409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(X3,intersection(X4,X5))),X6)),X7)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,intersection(X4,X5))),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_59898,c_1915]) ).
tcf(c_60410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(X3,intersection(X4,X5))),X6)),X7)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,intersection(X4,X5))),X6)),X7),X5) ),
inference(superposition,[status(thm)],[c_59898,c_1914]) ).
tcf(c_60411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_59898,c_1580]) ).
tcf(c_60412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,intersection(X3,X4))),X5),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_59898,c_1579]) ).
tcf(c_60415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8)),X1) ),
inference(superposition,[status(thm)],[c_59898,c_1917]) ).
tcf(c_60416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_59898,c_1582]) ).
tcf(c_60417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,image3(X5,X6,X7))),X8)),X9)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(X4,image3(X5,X6,X7))),X8)),X9),X7) ),
inference(superposition,[status(thm)],[c_59898,c_3119]) ).
tcf(c_60418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8)),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8)),X9),X10)),sK5(intersection(image3(X2,X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8)),X9),X10)) ),
inference(superposition,[status(thm)],[c_59898,c_3176]) ).
tcf(c_60419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,intersection(X7,image3(X0,X1,X8))),X9))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,intersection(X7,image3(X0,X1,X8))),X9))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,intersection(X7,image3(X0,X1,X8))),X9))),X10)) ),
inference(superposition,[status(thm)],[c_59898,c_3175]) ).
tcf(c_60420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8)),X9)),sK5(image3(X2,X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8)),X9)) ),
inference(superposition,[status(thm)],[c_59898,c_3117]) ).
tcf(c_60421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8))),X9)),sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,intersection(X6,image3(X0,X1,X7))),X8))),X9)) ),
inference(superposition,[status(thm)],[c_59898,c_2952]) ).
tcf(c_60422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7),X8)),X9)),sK5(intersection(X2,intersection(intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7),X8)),X9)) ),
inference(superposition,[status(thm)],[c_59898,c_2949]) ).
tcf(c_60423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8),X9)),sK5(intersection(intersection(X2,intersection(image3(X3,X4,intersection(X5,image3(X0,X1,X6))),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_59898,c_2647]) ).
tcf(c_60424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8),X9)),sK5(intersection(intersection(intersection(image3(X2,X3,intersection(X4,image3(X0,X1,X5))),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_59898,c_2644]) ).
tcf(c_60425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(X3,image3(X4,X5,X6))),X7)),X8)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(X3,image3(X4,X5,X6))),X7)),X8),X6) ),
inference(superposition,[status(thm)],[c_59898,c_1918]) ).
tcf(c_60426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,X5))),X6),X7),X8)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(X2,image3(X3,X4,X5))),X6),X7),X8),X5) ),
inference(superposition,[status(thm)],[c_59898,c_1583]) ).
tcf(c_60432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(image3(X0,X1,intersection(X2,sK3)),X3),sK1),
inference(superposition,[status(thm)],[c_59898,c_12385]) ).
tcf(c_60433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,sK1)
| ~ member(X0,X5)
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,intersection(X3,sK3))) ),
inference(superposition,[status(thm)],[c_59898,c_29991]) ).
tcf(c_60614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X2),
inference(superposition,[status(thm)],[c_2782,c_54]) ).
tcf(c_60616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),sK1)
| ~ subset(X2,sK3)
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_2782,c_13224]) ).
tcf(c_60627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_57945]) ).
tcf(c_60628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_57481]) ).
tcf(c_60629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_56964]) ).
tcf(c_60630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_53850]) ).
tcf(c_60631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_53494]) ).
tcf(c_60632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_53028]) ).
tcf(c_60633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_52443]) ).
tcf(c_60634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_51834]) ).
tcf(c_60635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_51436]) ).
tcf(c_60636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_48866]) ).
tcf(c_60637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_48507]) ).
tcf(c_60638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_48102]) ).
tcf(c_60639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_47495]) ).
tcf(c_60640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_47160]) ).
tcf(c_60641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_44179]) ).
tcf(c_60642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_43638]) ).
tcf(c_60643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_32612]) ).
tcf(c_60644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_32217]) ).
tcf(c_60645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_31666]) ).
tcf(c_60646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_31133]) ).
tcf(c_60647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_30462]) ).
tcf(c_60648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_27162]) ).
tcf(c_60649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_26639]) ).
tcf(c_60650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_23938]) ).
tcf(c_60651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_23466]) ).
tcf(c_60652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_23133]) ).
tcf(c_60653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_22748]) ).
tcf(c_60654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_21378]) ).
tcf(c_60655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_20984]) ).
tcf(c_60656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_17471]) ).
tcf(c_60657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_17052]) ).
tcf(c_60658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_14454]) ).
tcf(c_60659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_6414]) ).
tcf(c_60660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_6070]) ).
tcf(c_60661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_5860]) ).
tcf(c_60662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_5547]) ).
tcf(c_60663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_5271]) ).
tcf(c_60664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_4987]) ).
tcf(c_60665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_4986]) ).
tcf(c_60666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))) = sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)) ) ),
inference(superposition,[status(thm)],[c_2782,c_4945]) ).
tcf(c_60667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),intersection(X2,X5))
| ~ member(sK5(intersection(image3(X0,X1,intersection(X2,X3)),X4),intersection(X2,X5)),X5) ),
inference(superposition,[status(thm)],[c_2782,c_1093]) ).
tcf(c_60668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(sK3,X2)),X3),X4),sK1) ),
inference(superposition,[status(thm)],[c_2782,c_15799]) ).
tcf(c_60670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK4,X2)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(sK4,X2)),X3),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_11950]) ).
tcf(c_60671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK4,X2)),X3),X4)
| member(sK5(intersection(image3(X0,X1,intersection(sK4,X2)),X3),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_11643]) ).
tcf(c_60672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X1,X2,intersection(sK4,X3)),X4),X5)
| member(sK5(intersection(image3(X1,X2,intersection(sK4,X3)),X4),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2782,c_7948]) ).
tcf(c_60673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(image3(X0,X1,intersection(X2,X3)),X4),intersection(intersection(image3(X0,X1,intersection(X2,X3)),X4),X2)),
inference(superposition,[status(thm)],[c_2782,c_33831]) ).
tcf(c_60674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(intersection(X2,sK3),X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(intersection(X2,sK3),X3)),X4),X5),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(intersection(X2,sK3),X3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_2782,c_13080]) ).
tcf(c_60675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(image3(X0,X1,intersection(intersection(sK3,X2),X3)),X4),X5)
| member(sK5(intersection(image3(X0,X1,intersection(intersection(sK3,X2),X3)),X4),X5),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(intersection(sK3,X2),X3)),X4),X5),X6) ),
inference(superposition,[status(thm)],[c_2782,c_13482]) ).
tcf(c_60676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(image3(X0,X1,intersection(image3(X2,X3,sK3),X4)),X5),X6)
| member(sK5(intersection(image3(X0,X1,intersection(image3(X2,X3,sK3),X4)),X5),X6),sK1)
| ~ member(sK5(intersection(image3(X0,X1,intersection(image3(X2,X3,sK3),X4)),X5),X6),X7) ),
inference(superposition,[status(thm)],[c_2782,c_13755]) ).
tcf(c_60912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_12201]) ).
tcf(c_60913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_10326]) ).
tcf(c_60914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(X2,intersection(X3,image3(X4,X5,sK3)))),X6)
| member(sK5(intersection(X1,intersection(X2,intersection(X3,image3(X4,X5,sK3)))),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55029,c_1913]) ).
tcf(c_60915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_7220]) ).
tcf(c_60916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_6977]) ).
tcf(c_60917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X1,intersection(X2,image3(X3,X4,sK3))),X5),X6)
| member(sK5(intersection(intersection(X1,intersection(X2,image3(X3,X4,sK3))),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55029,c_1578]) ).
tcf(c_60918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_2293]) ).
tcf(c_60919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_2222]) ).
tcf(c_60921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_1345]) ).
tcf(c_60922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_1284]) ).
tcf(c_60923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,intersection(X1,image3(X2,X3,sK3)))) ),
inference(superposition,[status(thm)],[c_55029,c_994]) ).
tcf(c_60964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_12201]) ).
tcf(c_60965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_10326]) ).
tcf(c_60966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(X2,intersection(image3(X3,X4,sK3),X5))),X6)
| member(sK5(intersection(X1,intersection(X2,intersection(image3(X3,X4,sK3),X5))),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55707,c_1913]) ).
tcf(c_60967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_7220]) ).
tcf(c_60968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_6977]) ).
tcf(c_60969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X1,intersection(image3(X2,X3,sK3),X4)),X5),X6)
| member(sK5(intersection(intersection(X1,intersection(image3(X2,X3,sK3),X4)),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_55707,c_1578]) ).
tcf(c_60970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_2293]) ).
tcf(c_60971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_2222]) ).
tcf(c_60973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_1345]) ).
tcf(c_60974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_1284]) ).
tcf(c_60975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,intersection(image3(X1,X2,sK3),X3))) ),
inference(superposition,[status(thm)],[c_55707,c_994]) ).
tcf(c_61056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_12201]) ).
tcf(c_61057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_10326]) ).
tcf(c_61058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(image3(X2,X3,intersection(X4,sK3)),X5)),X6)
| member(sK5(intersection(X1,intersection(image3(X2,X3,intersection(X4,sK3)),X5)),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_60432,c_1913]) ).
tcf(c_61059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_7220]) ).
tcf(c_61060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_6977]) ).
tcf(c_61061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X1,X2,intersection(X3,sK3)),X4),X5),X6)
| member(sK5(intersection(intersection(image3(X1,X2,intersection(X3,sK3)),X4),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_60432,c_1578]) ).
tcf(c_61062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_2293]) ).
tcf(c_61063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_2222]) ).
tcf(c_61065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_1345]) ).
tcf(c_61066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_1284]) ).
tcf(c_61067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,intersection(X2,sK3)),X3)) ),
inference(superposition,[status(thm)],[c_60432,c_994]) ).
tcf(c_61068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,intersection(X3,sK3))) ),
inference(superposition,[status(thm)],[c_60432,c_1094]) ).
tcf(c_61140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X2)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_12201]) ).
tcf(c_61141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X2)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_10326]) ).
tcf(c_61142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,intersection(X0,X5)),X6)),X7)
| member(sK5(intersection(X2,intersection(image3(X3,X4,intersection(X0,X5)),X6)),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_60614,c_1913]) ).
tcf(c_61143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X2)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_7220]) ).
tcf(c_61144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X2)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_6977]) ).
tcf(c_61145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X2,X3,intersection(X0,X4)),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X2,X3,intersection(X0,X4)),X5),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_60614,c_1578]) ).
tcf(c_61146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X2)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_2293]) ).
tcf(c_61147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X2)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_2222]) ).
tcf(c_61149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X2)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_1345]) ).
tcf(c_61150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X2)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_1284]) ).
tcf(c_61151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X2)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,intersection(X2,X3)),X4)) ),
inference(superposition,[status(thm)],[c_60614,c_994]) ).
tcf(c_61152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,X3)
| ~ member(X0,X5)
| ~ member(X0,image3(X1,X2,intersection(X3,X4))) ),
inference(superposition,[status(thm)],[c_60614,c_1094]) ).
tcf(c_61153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(intersection(X4,X5),X6)),X7)),X8)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(intersection(X4,X5),X6)),X7)),X8),X4) ),
inference(superposition,[status(thm)],[c_60614,c_3116]) ).
tcf(c_61154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(intersection(X4,X5),X6)),X7)),X8)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(intersection(X4,X5),X6)),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_60614,c_3115]) ).
tcf(c_61155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(intersection(X3,X4),X5)),X6)),X7)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(intersection(X3,X4),X5)),X6)),X7),X3) ),
inference(superposition,[status(thm)],[c_60614,c_1915]) ).
tcf(c_61156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(intersection(X3,X4),X5)),X6)),X7)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(intersection(X3,X4),X5)),X6)),X7),X4) ),
inference(superposition,[status(thm)],[c_60614,c_1914]) ).
tcf(c_61157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6),X7),X2) ),
inference(superposition,[status(thm)],[c_60614,c_1580]) ).
tcf(c_61158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6),X7)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(intersection(X2,X3),X4)),X5),X6),X7),X3) ),
inference(superposition,[status(thm)],[c_60614,c_1579]) ).
tcf(c_61161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8)),X1) ),
inference(superposition,[status(thm)],[c_60614,c_1917]) ).
tcf(c_61162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_60614,c_1582]) ).
tcf(c_61163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,intersection(image3(X4,X5,X6),X7)),X8)),X9)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,intersection(image3(X4,X5,X6),X7)),X8)),X9),X6) ),
inference(superposition,[status(thm)],[c_60614,c_3119]) ).
tcf(c_61164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8)),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8)),X9),X10)),sK5(intersection(image3(X2,X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8)),X9),X10)) ),
inference(superposition,[status(thm)],[c_60614,c_3176]) ).
tcf(c_61165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,intersection(image3(X0,X1,X7),X8)),X9))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,intersection(image3(X0,X1,X7),X8)),X9))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(image3(X5,X6,intersection(image3(X0,X1,X7),X8)),X9))),X10)) ),
inference(superposition,[status(thm)],[c_60614,c_3175]) ).
tcf(c_61166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8)),X9)),sK5(image3(X2,X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8)),X9)) ),
inference(superposition,[status(thm)],[c_60614,c_3117]) ).
tcf(c_61167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8))),X9)),sK5(intersection(X2,intersection(X3,intersection(image3(X4,X5,intersection(image3(X0,X1,X6),X7)),X8))),X9)) ),
inference(superposition,[status(thm)],[c_60614,c_2952]) ).
tcf(c_61168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7),X8)),X9)),sK5(intersection(X2,intersection(intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7),X8)),X9)) ),
inference(superposition,[status(thm)],[c_60614,c_2949]) ).
tcf(c_61169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8),X9)),sK5(intersection(intersection(X2,intersection(image3(X3,X4,intersection(image3(X0,X1,X5),X6)),X7)),X8),X9)) ),
inference(superposition,[status(thm)],[c_60614,c_2647]) ).
tcf(c_61170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8),X9)),sK5(intersection(intersection(intersection(image3(X2,X3,intersection(image3(X0,X1,X4),X5)),X6),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_60614,c_2644]) ).
tcf(c_61171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,intersection(image3(X3,X4,X5),X6)),X7)),X8)
| member(sK5(intersection(X0,intersection(image3(X1,X2,intersection(image3(X3,X4,X5),X6)),X7)),X8),X5) ),
inference(superposition,[status(thm)],[c_60614,c_1918]) ).
tcf(c_61172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6),X7),X8)
| member(sK5(intersection(intersection(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6),X7),X8),X4) ),
inference(superposition,[status(thm)],[c_60614,c_1583]) ).
tcf(c_61178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(image3(X0,X1,intersection(sK3,X2)),X3),sK1),
inference(superposition,[status(thm)],[c_60614,c_12385]) ).
tcf(c_61179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(X0,sK1)
| ~ member(X0,X5)
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,intersection(sK3,X3))) ),
inference(superposition,[status(thm)],[c_60614,c_29991]) ).
tcf(c_61339,plain,
~ subset(sK2,image3(sK0,intersection(sK3,sK4),sK2)),
inference(global_subsumption_just,[status(thm)],[c_59599,c_53364]) ).
tcf(c_61347,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_58312]) ).
tcf(c_61348,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_58312]) ).
tcf(c_61349,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_58312]) ).
tcf(c_61350,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_58312]) ).
tcf(c_61351,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_58312]) ).
tcf(c_61352,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_58312]) ).
tcf(c_61354,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_58312]) ).
tcf(c_61355,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_58312]) ).
tcf(c_61356,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_58312]) ).
tcf(c_61357,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_58312]) ).
tcf(c_61358,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_58312]) ).
tcf(c_61359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_58312]) ).
tcf(c_61361,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_58312]) ).
tcf(c_61362,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_58312]) ).
tcf(c_61363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_58312]) ).
tcf(c_61364,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_58312]) ).
tcf(c_61365,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_58312]) ).
tcf(c_61366,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_58312]) ).
tcf(c_61367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_58312]) ).
tcf(c_61368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_58312]) ).
tcf(c_61369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_58312]) ).
tcf(c_61370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_58312]) ).
tcf(c_61371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_58312]) ).
tcf(c_61372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_58312]) ).
tcf(c_61373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_58312]) ).
tcf(c_61374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_58312]) ).
tcf(c_61375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_58312]) ).
tcf(c_61376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_58312]) ).
tcf(c_61377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_58312]) ).
tcf(c_61378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_58312]) ).
tcf(c_61379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_58312]) ).
tcf(c_61380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_58312]) ).
tcf(c_61381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_58312]) ).
tcf(c_61382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_58312]) ).
tcf(c_61383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_58312]) ).
tcf(c_61384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_58312]) ).
tcf(c_61385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_58312]) ).
tcf(c_61386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_58312]) ).
tcf(c_61387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_58312]) ).
tcf(c_61388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_58312]) ).
tcf(c_61389,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_58312]) ).
tcf(c_61390,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_58312]) ).
tcf(c_61391,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_58312]) ).
tcf(c_61392,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_58312]) ).
tcf(c_61393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_58312]) ).
tcf(c_61394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_58312]) ).
tcf(c_61395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_58312]) ).
tcf(c_61396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_58312]) ).
tcf(c_61397,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_58312]) ).
tcf(c_61398,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_58312]) ).
tcf(c_61399,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_58312]) ).
tcf(c_61400,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_58312]) ).
tcf(c_61401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_58312]) ).
tcf(c_61402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_58312]) ).
tcf(c_61403,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_58312]) ).
tcf(c_61404,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_58312]) ).
tcf(c_61405,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_58312]) ).
tcf(c_61406,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_58312]) ).
tcf(c_61407,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_58312]) ).
tcf(c_61410,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_58312]) ).
tcf(c_61411,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_58312]) ).
tcf(c_61470,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61404,c_927]) ).
tcf(c_61952,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_59129]) ).
tcf(c_61953,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_59129]) ).
tcf(c_61954,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_59129]) ).
tcf(c_61955,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_59129]) ).
tcf(c_61956,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_59129]) ).
tcf(c_61957,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_59129]) ).
tcf(c_61958,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_59129]) ).
tcf(c_61959,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_59129]) ).
tcf(c_61960,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_59129]) ).
tcf(c_61961,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_59129]) ).
tcf(c_61962,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_59129]) ).
tcf(c_61963,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_59129]) ).
tcf(c_61964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_59129]) ).
tcf(c_61965,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_59129]) ).
tcf(c_61966,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_59129]) ).
tcf(c_61967,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_59129]) ).
tcf(c_61968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_59129]) ).
tcf(c_61969,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_59129]) ).
tcf(c_61970,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_59129]) ).
tcf(c_61971,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_59129]) ).
tcf(c_61972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_59129]) ).
tcf(c_61973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_59129]) ).
tcf(c_61974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_59129]) ).
tcf(c_61975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_59129]) ).
tcf(c_61976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_59129]) ).
tcf(c_61977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_59129]) ).
tcf(c_61978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_59129]) ).
tcf(c_61979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_59129]) ).
tcf(c_61980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_59129]) ).
tcf(c_61981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_59129]) ).
tcf(c_61982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_59129]) ).
tcf(c_61983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_59129]) ).
tcf(c_61984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_59129]) ).
tcf(c_61985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_59129]) ).
tcf(c_61986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_59129]) ).
tcf(c_61987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_59129]) ).
tcf(c_61988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_59129]) ).
tcf(c_61989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_59129]) ).
tcf(c_61990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_59129]) ).
tcf(c_61991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_59129]) ).
tcf(c_61992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_59129]) ).
tcf(c_61993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_59129]) ).
tcf(c_61994,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_59129]) ).
tcf(c_61995,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_59129]) ).
tcf(c_61996,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_59129]) ).
tcf(c_61997,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_59129]) ).
tcf(c_61998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_59129]) ).
tcf(c_61999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_59129]) ).
tcf(c_62000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_59129]) ).
tcf(c_62001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_59129]) ).
tcf(c_62002,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_59129]) ).
tcf(c_62003,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_59129]) ).
tcf(c_62004,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_59129]) ).
tcf(c_62005,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_59129]) ).
tcf(c_62006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_59129]) ).
tcf(c_62007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_59129]) ).
tcf(c_62008,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_59129]) ).
tcf(c_62009,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_59129]) ).
tcf(c_62010,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_59129]) ).
tcf(c_62011,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_59129]) ).
tcf(c_62012,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_59129]) ).
tcf(c_62015,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_59129]) ).
tcf(c_62016,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_59129]) ).
tcf(c_62079,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62009,c_927]) ).
tcf(c_62419,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_61361]) ).
tcf(c_62420,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_61361]) ).
tcf(c_62421,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_61361]) ).
tcf(c_62422,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_61361]) ).
tcf(c_62423,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_61361]) ).
tcf(c_62424,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_61361]) ).
tcf(c_62426,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_61361]) ).
tcf(c_62427,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_61361]) ).
tcf(c_62428,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_61361]) ).
tcf(c_62429,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_61361]) ).
tcf(c_62430,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_61361]) ).
tcf(c_62431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_61361]) ).
tcf(c_62433,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_61361]) ).
tcf(c_62434,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_61361]) ).
tcf(c_62435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_61361]) ).
tcf(c_62436,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_61361]) ).
tcf(c_62437,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_61361]) ).
tcf(c_62438,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_61361]) ).
tcf(c_62439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_61361]) ).
tcf(c_62440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_61361]) ).
tcf(c_62441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_61361]) ).
tcf(c_62442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_61361]) ).
tcf(c_62443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_61361]) ).
tcf(c_62444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_61361]) ).
tcf(c_62445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_61361]) ).
tcf(c_62446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_61361]) ).
tcf(c_62447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_61361]) ).
tcf(c_62448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_61361]) ).
tcf(c_62449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_61361]) ).
tcf(c_62450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_61361]) ).
tcf(c_62451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_61361]) ).
tcf(c_62452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_61361]) ).
tcf(c_62453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_61361]) ).
tcf(c_62454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_61361]) ).
tcf(c_62455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_61361]) ).
tcf(c_62456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_61361]) ).
tcf(c_62457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_61361]) ).
tcf(c_62458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_61361]) ).
tcf(c_62459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_61361]) ).
tcf(c_62460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_61361]) ).
tcf(c_62461,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_61361]) ).
tcf(c_62462,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_61361]) ).
tcf(c_62463,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_61361]) ).
tcf(c_62464,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_61361]) ).
tcf(c_62465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_61361]) ).
tcf(c_62466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_61361]) ).
tcf(c_62467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_61361]) ).
tcf(c_62468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_61361]) ).
tcf(c_62469,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_61361]) ).
tcf(c_62470,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_61361]) ).
tcf(c_62471,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_61361]) ).
tcf(c_62472,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_61361]) ).
tcf(c_62473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_61361]) ).
tcf(c_62474,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_61361]) ).
tcf(c_62475,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_61361]) ).
tcf(c_62476,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_61361]) ).
tcf(c_62477,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_61361]) ).
tcf(c_62478,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_61361]) ).
tcf(c_62479,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_61361]) ).
tcf(c_62482,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_61361]) ).
tcf(c_62483,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_61361]) ).
tcf(c_62542,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62476,c_927]) ).
tcf(c_62908,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_61965]) ).
tcf(c_62909,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_61965]) ).
tcf(c_62910,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_61965]) ).
tcf(c_62911,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_61965]) ).
tcf(c_62912,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_61965]) ).
tcf(c_62913,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_61965]) ).
tcf(c_62914,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_61965]) ).
tcf(c_62915,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_61965]) ).
tcf(c_62916,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_61965]) ).
tcf(c_62917,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_61965]) ).
tcf(c_62918,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_61965]) ).
tcf(c_62919,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_61965]) ).
tcf(c_62920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_61965]) ).
tcf(c_62921,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_61965]) ).
tcf(c_62922,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_61965]) ).
tcf(c_62923,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_61965]) ).
tcf(c_62924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_61965]) ).
tcf(c_62925,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_61965]) ).
tcf(c_62926,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_61965]) ).
tcf(c_62927,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_61965]) ).
tcf(c_62928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_61965]) ).
tcf(c_62929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_61965]) ).
tcf(c_62930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_61965]) ).
tcf(c_62931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_61965]) ).
tcf(c_62932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_61965]) ).
tcf(c_62933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_61965]) ).
tcf(c_62934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_61965]) ).
tcf(c_62935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_61965]) ).
tcf(c_62936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_61965]) ).
tcf(c_62937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_61965]) ).
tcf(c_62938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_61965]) ).
tcf(c_62939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_61965]) ).
tcf(c_62940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_61965]) ).
tcf(c_62941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_61965]) ).
tcf(c_62942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_61965]) ).
tcf(c_62943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_61965]) ).
tcf(c_62944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_61965]) ).
tcf(c_62945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_61965]) ).
tcf(c_62946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_61965]) ).
tcf(c_62947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_61965]) ).
tcf(c_62948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_61965]) ).
tcf(c_62949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_61965]) ).
tcf(c_62950,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_61965]) ).
tcf(c_62951,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_61965]) ).
tcf(c_62952,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_61965]) ).
tcf(c_62953,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_61965]) ).
tcf(c_62954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_61965]) ).
tcf(c_62955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_61965]) ).
tcf(c_62956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_61965]) ).
tcf(c_62957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_61965]) ).
tcf(c_62958,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_61965]) ).
tcf(c_62959,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_61965]) ).
tcf(c_62960,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_61965]) ).
tcf(c_62961,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_61965]) ).
tcf(c_62962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_61965]) ).
tcf(c_62963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_61965]) ).
tcf(c_62964,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_61965]) ).
tcf(c_62965,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_61965]) ).
tcf(c_62966,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_61965]) ).
tcf(c_62967,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_61965]) ).
tcf(c_62968,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_61965]) ).
tcf(c_62971,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_61965]) ).
tcf(c_62972,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_61965]) ).
tcf(c_63035,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62965,c_927]) ).
tcf(c_63409,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_62433]) ).
tcf(c_63410,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_62433]) ).
tcf(c_63411,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_62433]) ).
tcf(c_63412,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_62433]) ).
tcf(c_63413,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_62433]) ).
tcf(c_63414,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_62433]) ).
tcf(c_63416,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_62433]) ).
tcf(c_63417,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_62433]) ).
tcf(c_63418,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_62433]) ).
tcf(c_63419,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_62433]) ).
tcf(c_63420,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_62433]) ).
tcf(c_63421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_62433]) ).
tcf(c_63423,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_62433]) ).
tcf(c_63424,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_62433]) ).
tcf(c_63425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_62433]) ).
tcf(c_63426,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_62433]) ).
tcf(c_63427,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_62433]) ).
tcf(c_63428,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_62433]) ).
tcf(c_63429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_62433]) ).
tcf(c_63430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_62433]) ).
tcf(c_63431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_62433]) ).
tcf(c_63432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_62433]) ).
tcf(c_63433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_62433]) ).
tcf(c_63434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_62433]) ).
tcf(c_63435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_62433]) ).
tcf(c_63436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_62433]) ).
tcf(c_63437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_62433]) ).
tcf(c_63438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_62433]) ).
tcf(c_63439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_62433]) ).
tcf(c_63440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_62433]) ).
tcf(c_63441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_62433]) ).
tcf(c_63442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_62433]) ).
tcf(c_63443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_62433]) ).
tcf(c_63444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_62433]) ).
tcf(c_63445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_62433]) ).
tcf(c_63446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_62433]) ).
tcf(c_63447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_62433]) ).
tcf(c_63448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_62433]) ).
tcf(c_63449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_62433]) ).
tcf(c_63450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_62433]) ).
tcf(c_63451,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_62433]) ).
tcf(c_63452,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_62433]) ).
tcf(c_63453,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_62433]) ).
tcf(c_63454,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_62433]) ).
tcf(c_63455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_62433]) ).
tcf(c_63456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_62433]) ).
tcf(c_63457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_62433]) ).
tcf(c_63458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_62433]) ).
tcf(c_63459,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_62433]) ).
tcf(c_63460,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_62433]) ).
tcf(c_63461,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_62433]) ).
tcf(c_63462,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_62433]) ).
tcf(c_63463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_62433]) ).
tcf(c_63464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_62433]) ).
tcf(c_63465,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_62433]) ).
tcf(c_63466,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_62433]) ).
tcf(c_63467,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_62433]) ).
tcf(c_63468,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_62433]) ).
tcf(c_63469,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_62433]) ).
tcf(c_63472,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_62433]) ).
tcf(c_63473,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_62433]) ).
tcf(c_63532,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63466,c_927]) ).
tcf(c_63892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_12201]) ).
tcf(c_63893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_10326]) ).
tcf(c_63894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,intersection(image3(X0,X1,X2),X3)),X6)
| member(sK5(intersection(X5,intersection(image3(X0,X1,X2),X3)),X6),X4)
| ~ subset(intersection(intersection(image3(X0,X1,X2),X3),X2),X4) ),
inference(superposition,[status(thm)],[c_34096,c_1913]) ).
tcf(c_63895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_7220]) ).
tcf(c_63896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_6977]) ).
tcf(c_63897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X5),X6)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X5),X6),X4)
| ~ subset(intersection(intersection(image3(X0,X1,X2),X3),X2),X4) ),
inference(superposition,[status(thm)],[c_34096,c_1578]) ).
tcf(c_63898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_2293]) ).
tcf(c_63899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_2222]) ).
tcf(c_63900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X5)
| member(sK5(intersection(image3(X0,X1,X2),X3),X5),X4)
| ~ subset(intersection(intersection(image3(X0,X1,X2),X3),X2),X4) ),
inference(superposition,[status(thm)],[c_34096,c_1208]) ).
tcf(c_63901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_1345]) ).
tcf(c_63902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_1284]) ).
tcf(c_63903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),intersection(intersection(image3(X0,X1,X2),X3),X2))
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_994]) ).
tcf(c_63904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,intersection(intersection(image3(X1,X2,X3),X4),X3))
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_34096,c_1094]) ).
tcf(c_63905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6)
| member(sK5(image3(X0,X1,intersection(image3(X2,X3,X4),X5)),X6),intersection(image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_34096,c_3116]) ).
tcf(c_63907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5)
| member(sK5(intersection(X0,intersection(image3(X1,X2,X3),X4)),X5),intersection(image3(X1,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_34096,c_1915]) ).
tcf(c_63909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(intersection(image3(X0,X1,X2),X3),X4),X5)
| member(sK5(intersection(intersection(image3(X0,X1,X2),X3),X4),X5),intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_1580]) ).
tcf(c_63911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,X2),X3),X4)
| member(sK5(intersection(image3(X0,X1,X2),X3),X4),intersection(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_34096,c_1210]) ).
tcf(c_64248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X3,X4,X0)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2986,c_54]) ).
tcf(c_64250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(X6,sK3)
| ~ subset(X3,X6)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2986,c_13224]) ).
tcf(c_64251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(X3,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_2986,c_12924]) ).
tcf(c_64252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X3,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_2986,c_11170]) ).
tcf(c_64253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X3,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_2986,c_10956]) ).
tcf(c_64254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X6)
| ~ subset(sK1,X6)
| ~ subset(X3,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK4) ),
inference(superposition,[status(thm)],[c_2986,c_7357]) ).
tcf(c_64255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X6)
| ~ subset(sK1,X6)
| ~ subset(X3,X5)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK3) ),
inference(superposition,[status(thm)],[c_2986,c_7083]) ).
tcf(c_64261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_62433]) ).
tcf(c_64262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_61965]) ).
tcf(c_64263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_61361]) ).
tcf(c_64264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_59129]) ).
tcf(c_64265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_58312]) ).
tcf(c_64266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_57945]) ).
tcf(c_64267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_57481]) ).
tcf(c_64268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_56964]) ).
tcf(c_64269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_53850]) ).
tcf(c_64270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_53494]) ).
tcf(c_64271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_53028]) ).
tcf(c_64272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_52443]) ).
tcf(c_64273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_51834]) ).
tcf(c_64274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_51436]) ).
tcf(c_64275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_48866]) ).
tcf(c_64276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_48507]) ).
tcf(c_64277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_48102]) ).
tcf(c_64278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_47495]) ).
tcf(c_64279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_47160]) ).
tcf(c_64280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_44179]) ).
tcf(c_64281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_43638]) ).
tcf(c_64282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_32612]) ).
tcf(c_64283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_32217]) ).
tcf(c_64284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_31666]) ).
tcf(c_64285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_31133]) ).
tcf(c_64286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_30462]) ).
tcf(c_64287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_27162]) ).
tcf(c_64288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_26639]) ).
tcf(c_64289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_23938]) ).
tcf(c_64290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_23466]) ).
tcf(c_64291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_23133]) ).
tcf(c_64292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_22748]) ).
tcf(c_64293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_21378]) ).
tcf(c_64294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_20984]) ).
tcf(c_64295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_17471]) ).
tcf(c_64296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_17052]) ).
tcf(c_64297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_14454]) ).
tcf(c_64298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_6414]) ).
tcf(c_64299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_6070]) ).
tcf(c_64300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_5860]) ).
tcf(c_64301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_5547]) ).
tcf(c_64302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_5271]) ).
tcf(c_64303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_4987]) ).
tcf(c_64304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_4986]) ).
tcf(c_64305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)))) = sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_4945]) ).
tcf(c_64306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),intersection(X4,X5))
| ~ subset(X3,X4)
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),intersection(X4,X5)),X5) ),
inference(superposition,[status(thm)],[c_2986,c_1093]) ).
tcf(c_64307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| member(sK5(intersection(X1,image3(X2,X3,X0)),X4),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_2986,c_15799]) ).
tcf(c_64309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| member(sK5(intersection(X1,image3(X2,X3,X0)),X4),sK1)
| ~ subset(sK1,sK4)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2986,c_11950]) ).
tcf(c_64310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| member(sK5(intersection(X1,image3(X2,X3,X0)),X4),sK1)
| ~ subset(sK1,sK3)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2986,c_11643]) ).
tcf(c_64311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X2,image3(X3,X4,X0)),X5)
| member(sK5(intersection(X2,image3(X3,X4,X0)),X5),X1)
| ~ subset(sK1,X1)
| ~ subset(X0,sK4) ),
inference(superposition,[status(thm)],[c_2986,c_7948]) ).
tcf(c_64312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,image3(X4,X5,X2)),X6)
| member(sK5(intersection(sK4,image3(X4,X5,X2)),X6),sK1)
| ~ subset(X2,X3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2986,c_25888]) ).
tcf(c_64313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,image3(X3,X4,X1)),X5)
| member(sK5(intersection(sK4,image3(X3,X4,X1)),X5),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2986,c_18969]) ).
tcf(c_64314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,image3(X3,X4,X1)),X5)
| member(sK5(intersection(sK4,image3(X3,X4,X1)),X5),sK1)
| ~ subset(X1,X2)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2986,c_18735]) ).
tcf(c_64315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,image3(X3,X4,X0)),intersection(intersection(X2,image3(X3,X4,X0)),X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2986,c_33831]) ).
tcf(c_64316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(X3,intersection(X6,sK3))
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2986,c_13080]) ).
tcf(c_64317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(X3,intersection(sK3,X6))
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2986,c_13482]) ).
tcf(c_64318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,image3(X1,X2,X3)),X4)
| member(sK5(intersection(X0,image3(X1,X2,X3)),X4),sK1)
| ~ subset(X3,image3(X6,X7,sK3))
| ~ member(sK5(intersection(X0,image3(X1,X2,X3)),X4),X5) ),
inference(superposition,[status(thm)],[c_2986,c_13755]) ).
tcf(c_64319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,image3(X3,X4,X0)),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2986,c_33866]) ).
tcf(c_64320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,image3(X3,X4,X0)),intersection(X2,X1))
| ~ subset(sK1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2986,c_33867]) ).
tcf(c_64321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,image3(X2,X3,X0)),intersection(sK1,X1))
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2986,c_42867]) ).
tcf(c_64960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_12201]) ).
tcf(c_64961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X4)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_10326]) ).
tcf(c_64962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,intersection(X4,image3(X5,X6,X0))),X7)
| member(sK5(intersection(X3,intersection(X4,image3(X5,X6,X0))),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_64248,c_1913]) ).
tcf(c_64963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X4)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_7220]) ).
tcf(c_64964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X4)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_6977]) ).
tcf(c_64965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X3,image3(X4,X5,X0)),X6),X7)
| member(sK5(intersection(intersection(X3,image3(X4,X5,X0)),X6),X7),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_64248,c_1578]) ).
tcf(c_64966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X4)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_2293]) ).
tcf(c_64967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X4)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_2222]) ).
tcf(c_64969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_1345]) ).
tcf(c_64970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(X3,X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_1284]) ).
tcf(c_64971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(X3,X4)
| ~ subset(sK2,intersection(X0,image3(X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_64248,c_994]) ).
tcf(c_64974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X3,X4,intersection(X5,image3(X6,X7,X0))),X8)
| member(sK5(image3(X3,X4,intersection(X5,image3(X6,X7,X0))),X8),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_64248,c_3116]) ).
tcf(c_64975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X3,X4,intersection(X5,image3(X6,X7,X0))),X8)
| member(sK5(image3(X3,X4,intersection(X5,image3(X6,X7,X0))),X8),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_64248,c_3115]) ).
tcf(c_64976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,intersection(X4,image3(X5,X6,X0))),X7)
| member(sK5(intersection(X3,intersection(X4,image3(X5,X6,X0))),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_64248,c_1915]) ).
tcf(c_64977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X3,intersection(X4,image3(X5,X6,X0))),X7)
| member(sK5(intersection(X3,intersection(X4,image3(X5,X6,X0))),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_64248,c_1914]) ).
tcf(c_64978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X3,image3(X4,X5,X0)),X6),X7)
| member(sK5(intersection(intersection(X3,image3(X4,X5,X0)),X6),X7),X1)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_64248,c_1580]) ).
tcf(c_64979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X3,image3(X4,X5,X0)),X6),X7)
| member(sK5(intersection(intersection(X3,image3(X4,X5,X0)),X6),X7),X2)
| ~ subset(X0,intersection(X1,X2)) ),
inference(superposition,[status(thm)],[c_64248,c_1579]) ).
tcf(c_64982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8)
| member(sK7(X1,X2,sK5(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_1917]) ).
tcf(c_64983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8)
| member(sK7(X1,X2,sK5(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_1582]) ).
tcf(c_64984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9)
| member(sK5(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_3119]) ).
tcf(c_64985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9),X10)
| apply(X1,sK7(X1,X2,sK5(intersection(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9),X10)),sK5(intersection(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9),X10))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_3176]) ).
tcf(c_64986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X4,image3(X5,X6,intersection(X7,image3(X8,X9,X0)))),X10)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,image3(X5,X6,intersection(X7,image3(X8,X9,X0)))),X10)),sK5(intersection(X4,image3(X5,X6,intersection(X7,image3(X8,X9,X0)))),X10))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_3175]) ).
tcf(c_64987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9)
| apply(X1,sK7(X1,X2,sK5(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9)),sK5(image3(X4,X5,intersection(X6,image3(X7,X8,X0))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_3117]) ).
tcf(c_64988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,intersection(X5,intersection(X6,image3(X7,X8,X0)))),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(X5,intersection(X6,image3(X7,X8,X0)))),X9)),sK5(intersection(X4,intersection(X5,intersection(X6,image3(X7,X8,X0)))),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_2952]) ).
tcf(c_64989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X4,intersection(intersection(X5,image3(X6,X7,X0)),X8)),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(X4,intersection(intersection(X5,image3(X6,X7,X0)),X8)),X9)),sK5(intersection(X4,intersection(intersection(X5,image3(X6,X7,X0)),X8)),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_2949]) ).
tcf(c_64990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8),X9)),sK5(intersection(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_2647]) ).
tcf(c_64991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8),X9)
| apply(X1,sK7(X1,X2,sK5(intersection(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8),X9)),sK5(intersection(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8),X9))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_2644]) ).
tcf(c_64992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8)
| member(sK5(intersection(X4,intersection(X5,image3(X6,X7,X0))),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_1918]) ).
tcf(c_64993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8)
| member(sK5(intersection(intersection(X4,image3(X5,X6,X0)),X7),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_64248,c_1583]) ).
tcf(c_64999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),sK1)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_64248,c_12385]) ).
tcf(c_65109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X4),
inference(superposition,[status(thm)],[c_2987,c_54]) ).
tcf(c_65111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK1)
| ~ subset(X4,sK3)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6) ),
inference(superposition,[status(thm)],[c_2987,c_13224]) ).
tcf(c_65112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK3) ),
inference(superposition,[status(thm)],[c_2987,c_12924]) ).
tcf(c_65113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK1)
| ~ subset(sK1,sK4)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK4) ),
inference(superposition,[status(thm)],[c_2987,c_11170]) ).
tcf(c_65114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK1)
| ~ subset(sK1,sK3)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK4) ),
inference(superposition,[status(thm)],[c_2987,c_10956]) ).
tcf(c_65115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK4) ),
inference(superposition,[status(thm)],[c_2987,c_7357]) ).
tcf(c_65116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),X6)
| ~ subset(sK1,X6)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),X5),sK3) ),
inference(superposition,[status(thm)],[c_2987,c_7083]) ).
tcf(c_65122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_62433]) ).
tcf(c_65123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_61965]) ).
tcf(c_65124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_61361]) ).
tcf(c_65125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_59129]) ).
tcf(c_65126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_58312]) ).
tcf(c_65127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_57945]) ).
tcf(c_65128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_57481]) ).
tcf(c_65129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_56964]) ).
tcf(c_65130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_53850]) ).
tcf(c_65131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_53494]) ).
tcf(c_65132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_53028]) ).
tcf(c_65133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_52443]) ).
tcf(c_65134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_51834]) ).
tcf(c_65135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_51436]) ).
tcf(c_65136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_48866]) ).
tcf(c_65137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_48507]) ).
tcf(c_65138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_48102]) ).
tcf(c_65139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_47495]) ).
tcf(c_65140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_47160]) ).
tcf(c_65141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_44179]) ).
tcf(c_65142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_43638]) ).
tcf(c_65143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_32612]) ).
tcf(c_65144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_32217]) ).
tcf(c_65145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_31666]) ).
tcf(c_65146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_31133]) ).
tcf(c_65147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_30462]) ).
tcf(c_65148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_27162]) ).
tcf(c_65149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_26639]) ).
tcf(c_65150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_23938]) ).
tcf(c_65151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_23466]) ).
tcf(c_65152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_23133]) ).
tcf(c_65153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_22748]) ).
tcf(c_65154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_21378]) ).
tcf(c_65155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_20984]) ).
tcf(c_65156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_17471]) ).
tcf(c_65157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_17052]) ).
tcf(c_65158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_14454]) ).
tcf(c_65159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_6414]) ).
tcf(c_65160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_6070]) ).
tcf(c_65161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_5860]) ).
tcf(c_65162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_5547]) ).
tcf(c_65163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_5271]) ).
tcf(c_65164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_4987]) ).
tcf(c_65165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_4986]) ).
tcf(c_65166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)))) = sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)) ) ),
inference(superposition,[status(thm)],[c_2987,c_4945]) ).
tcf(c_65167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),intersection(X4,X5))
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,X4))),intersection(X4,X5)),X5) ),
inference(superposition,[status(thm)],[c_2987,c_1093]) ).
tcf(c_65168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,sK3))),X4),sK1) ),
inference(superposition,[status(thm)],[c_2987,c_15799]) ).
tcf(c_65170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK4))),X4)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,sK4))),X4),sK1)
| ~ subset(sK1,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_11950]) ).
tcf(c_65171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK4))),X4)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,sK4))),X4),sK1)
| ~ subset(sK1,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_11643]) ).
tcf(c_65172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X1,image3(X2,X3,intersection(X4,sK4))),X5)
| member(sK5(intersection(X1,image3(X2,X3,intersection(X4,sK4))),X5),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2987,c_7948]) ).
tcf(c_65173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,image3(X2,X3,intersection(X4,X5))),X6)
| member(sK5(intersection(sK4,image3(X2,X3,intersection(X4,X5))),X6),sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_2987,c_25888]) ).
tcf(c_65174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(sK4,image3(X1,X2,intersection(X3,X4))),X5),sK1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_2987,c_18969]) ).
tcf(c_65175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,image3(X1,X2,intersection(X3,X4))),X5)
| member(sK5(intersection(sK4,image3(X1,X2,intersection(X3,X4))),X5),sK1)
| ~ subset(sK1,intersection(X0,sK3)) ),
inference(superposition,[status(thm)],[c_2987,c_18735]) ).
tcf(c_65176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(intersection(X0,image3(X1,X2,intersection(X3,X4))),intersection(intersection(X0,image3(X1,X2,intersection(X3,X4))),X4)),
inference(superposition,[status(thm)],[c_2987,c_33831]) ).
tcf(c_65177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,sK3)))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,sK3)))),X5),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,sK3)))),X5),X6) ),
inference(superposition,[status(thm)],[c_2987,c_13080]) ).
tcf(c_65178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,intersection(sK3,X4)))),X5)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,intersection(sK3,X4)))),X5),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,intersection(sK3,X4)))),X5),X6) ),
inference(superposition,[status(thm)],[c_2987,c_13482]) ).
tcf(c_65179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,sK3)))),X6)
| member(sK5(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,sK3)))),X6),sK1)
| ~ member(sK5(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,sK3)))),X6),X7) ),
inference(superposition,[status(thm)],[c_2987,c_13755]) ).
tcf(c_65180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK3,image3(X1,X2,intersection(X3,X4))),intersection(X0,X4))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2987,c_33866]) ).
tcf(c_65181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(sK4,image3(X1,X2,intersection(X3,X4))),intersection(X0,X4))
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_2987,c_33867]) ).
tcf(c_65182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(sK4,image3(X0,X1,intersection(X2,X3))),intersection(sK1,X3)),
inference(superposition,[status(thm)],[c_2987,c_42867]) ).
tcf(c_65468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(X5,X6)
| member(sK5(X5,X6),X4)
| ~ subset(X5,sK3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_12201]) ).
tcf(c_65469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X5,sK3),X6)
| member(sK5(intersection(X5,sK3),X6),X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_10326]) ).
tcf(c_65470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,X0)))),X7)
| member(sK5(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,X0)))),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_65109,c_1913]) ).
tcf(c_65471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK4,X5),X6)
| member(sK5(intersection(sK4,X5),X6),X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_7220]) ).
tcf(c_65472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(sK3,X5),X6)
| member(sK5(intersection(sK3,X5),X6),X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_6977]) ).
tcf(c_65473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,intersection(X5,X0))),X6),X7)
| member(sK5(intersection(intersection(X2,image3(X3,X4,intersection(X5,X0))),X6),X7),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_65109,c_1578]) ).
tcf(c_65474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK4,X5)
| member(sK5(sK4,X5),X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_2293]) ).
tcf(c_65475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK5(sK3,X5),X4)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_2222]) ).
tcf(c_65477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK4)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_1345]) ).
tcf(c_65478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ subset(sK2,sK3)
| ~ member(X5,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_1284]) ).
tcf(c_65479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,intersection(X0,image3(X1,X2,intersection(X3,X4)))) ),
inference(superposition,[status(thm)],[c_65109,c_994]) ).
tcf(c_65481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,X7))))),X8)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,X7))))),X8),X6) ),
inference(superposition,[status(thm)],[c_65109,c_3116]) ).
tcf(c_65482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,X7))))),X8)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,intersection(X6,X7))))),X8),X7) ),
inference(superposition,[status(thm)],[c_65109,c_3115]) ).
tcf(c_65483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,intersection(X5,X6))))),X7)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,intersection(X5,X6))))),X7),X5) ),
inference(superposition,[status(thm)],[c_65109,c_1915]) ).
tcf(c_65484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,intersection(X5,X6))))),X7)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,intersection(X5,X6))))),X7),X6) ),
inference(superposition,[status(thm)],[c_65109,c_1914]) ).
tcf(c_65485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6),X7)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6),X7),X4) ),
inference(superposition,[status(thm)],[c_65109,c_1580]) ).
tcf(c_65486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6),X7)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,intersection(X4,X5)))),X6),X7),X5) ),
inference(superposition,[status(thm)],[c_65109,c_1579]) ).
tcf(c_65489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8)
| member(sK7(X0,X1,sK5(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8)),X1) ),
inference(superposition,[status(thm)],[c_65109,c_1917]) ).
tcf(c_65490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)
| member(sK7(X0,X1,sK5(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8)),X1) ),
inference(superposition,[status(thm)],[c_65109,c_1582]) ).
tcf(c_65491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,X8))))),X9)
| member(sK5(image3(X0,X1,intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,X8))))),X9),X8) ),
inference(superposition,[status(thm)],[c_65109,c_3119]) ).
tcf(c_65492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(image3(X2,X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(image3(X2,X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9),X10)),sK5(intersection(image3(X2,X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9),X10)) ),
inference(superposition,[status(thm)],[c_65109,c_3176]) ).
tcf(c_65493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( subset(intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,intersection(X8,image3(X0,X1,X9)))))),X10)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,intersection(X8,image3(X0,X1,X9)))))),X10)),sK5(intersection(X2,image3(X3,X4,intersection(X5,image3(X6,X7,intersection(X8,image3(X0,X1,X9)))))),X10)) ),
inference(superposition,[status(thm)],[c_65109,c_3175]) ).
tcf(c_65494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X2,X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9)
| apply(X0,sK7(X0,X1,sK5(image3(X2,X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9)),sK5(image3(X2,X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8))))),X9)) ),
inference(superposition,[status(thm)],[c_65109,c_3117]) ).
tcf(c_65495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8)))))),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8)))))),X9)),sK5(intersection(X2,intersection(X3,intersection(X4,image3(X5,X6,intersection(X7,image3(X0,X1,X8)))))),X9)) ),
inference(superposition,[status(thm)],[c_65109,c_2952]) ).
tcf(c_65496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(X2,intersection(intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8)),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(X2,intersection(intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8)),X9)),sK5(intersection(X2,intersection(intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7)))),X8)),X9)) ),
inference(superposition,[status(thm)],[c_65109,c_2949]) ).
tcf(c_65497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8),X9)),sK5(intersection(intersection(X2,intersection(X3,image3(X4,X5,intersection(X6,image3(X0,X1,X7))))),X8),X9)) ),
inference(superposition,[status(thm)],[c_65109,c_2647]) ).
tcf(c_65498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(intersection(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8),X9)
| apply(X0,sK7(X0,X1,sK5(intersection(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8),X9)),sK5(intersection(intersection(intersection(X2,image3(X3,X4,intersection(X5,image3(X0,X1,X6)))),X7),X8),X9)) ),
inference(superposition,[status(thm)],[c_65109,c_2644]) ).
tcf(c_65499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,image3(X5,X6,X7))))),X8)
| member(sK5(intersection(X0,intersection(X1,image3(X2,X3,intersection(X4,image3(X5,X6,X7))))),X8),X7) ),
inference(superposition,[status(thm)],[c_65109,c_1918]) ).
tcf(c_65500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,X6)))),X7),X8)
| member(sK5(intersection(intersection(X0,image3(X1,X2,intersection(X3,image3(X4,X5,X6)))),X7),X8),X6) ),
inference(superposition,[status(thm)],[c_65109,c_1583]) ).
tcf(c_65506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(intersection(X0,image3(X1,X2,intersection(X3,sK3))),sK1),
inference(superposition,[status(thm)],[c_65109,c_12385]) ).
tcf(c_65954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_12201]) ).
tcf(c_65955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_10326]) ).
tcf(c_65956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(image3(X2,X3,intersection(sK3,X4)),X5)),X6)
| member(sK5(intersection(X1,intersection(image3(X2,X3,intersection(sK3,X4)),X5)),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_61178,c_1913]) ).
tcf(c_65957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_7220]) ).
tcf(c_65958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_6977]) ).
tcf(c_65959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(image3(X1,X2,intersection(sK3,X3)),X4),X5),X6)
| member(sK5(intersection(intersection(image3(X1,X2,intersection(sK3,X3)),X4),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_61178,c_1578]) ).
tcf(c_65960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_2293]) ).
tcf(c_65961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_2222]) ).
tcf(c_65963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_1345]) ).
tcf(c_65964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_1284]) ).
tcf(c_65965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(image3(X0,X1,intersection(sK3,X2)),X3)) ),
inference(superposition,[status(thm)],[c_61178,c_994]) ).
tcf(c_65966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,sK1)
| ~ member(X0,X4)
| ~ member(X0,image3(X1,X2,intersection(sK3,X3))) ),
inference(superposition,[status(thm)],[c_61178,c_1094]) ).
tcf(c_66009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X4,X5)
| member(sK5(X4,X5),sK1)
| ~ subset(X4,sK3)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_12201]) ).
tcf(c_66010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(X4,sK3),X5)
| member(sK5(intersection(X4,sK3),X5),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_10326]) ).
tcf(c_66011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(X1,intersection(X2,image3(X3,X4,intersection(X5,sK3)))),X6)
| member(sK5(intersection(X1,intersection(X2,image3(X3,X4,intersection(X5,sK3)))),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_65506,c_1913]) ).
tcf(c_66012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK4,X4),X5)
| member(sK5(intersection(sK4,X4),X5),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_7220]) ).
tcf(c_66013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(intersection(sK3,X4),X5)
| member(sK5(intersection(sK3,X4),X5),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_6977]) ).
tcf(c_66014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(intersection(intersection(X1,image3(X2,X3,intersection(X4,sK3))),X5),X6)
| member(sK5(intersection(intersection(X1,image3(X2,X3,intersection(X4,sK3))),X5),X6),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_65506,c_1578]) ).
tcf(c_66015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK4,X4)
| member(sK5(sK4,X4),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_2293]) ).
tcf(c_66016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK5(sK3,X4),sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_2222]) ).
tcf(c_66018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK4)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_1345]) ).
tcf(c_66019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ subset(sK2,sK3)
| ~ member(X4,sK1)
| ~ subset(sK1,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_1284]) ).
tcf(c_66020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,sK2,X4),sK1)
| ~ member(X4,sK1)
| ~ subset(sK2,intersection(X0,image3(X1,X2,intersection(X3,sK3)))) ),
inference(superposition,[status(thm)],[c_65506,c_994]) ).
tcf(c_66061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK5(X2,X3),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(X2,sK3)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_12201]) ).
tcf(c_66062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_10326]) ).
tcf(c_66063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X3,image3(X0,X1,sK3)),X4)
| member(sK5(intersection(X3,image3(X0,X1,sK3)),X4),X2)
| ~ subset(intersection(image3(X0,X1,sK3),sK1),X2) ),
inference(superposition,[status(thm)],[c_34129,c_1913]) ).
tcf(c_66064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_7220]) ).
tcf(c_66065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_6977]) ).
tcf(c_66066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,sK3),X3),X4)
| member(sK5(intersection(image3(X0,X1,sK3),X3),X4),X2)
| ~ subset(intersection(image3(X0,X1,sK3),sK1),X2) ),
inference(superposition,[status(thm)],[c_34129,c_1578]) ).
tcf(c_66067,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_2293]) ).
tcf(c_66068,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_2222]) ).
tcf(c_66069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK3),X3)
| member(sK5(image3(X0,X1,sK3),X3),X2)
| ~ subset(intersection(image3(X0,X1,sK3),sK1),X2) ),
inference(superposition,[status(thm)],[c_34129,c_1208]) ).
tcf(c_66070,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_1345]) ).
tcf(c_66071,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(image3(X0,X1,sK3),sK1))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_1284]) ).
tcf(c_66072,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(image3(X0,X1,sK3),sK1))
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_994]) ).
tcf(c_66073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK3)),X4)
| member(sK5(image3(X0,X1,image3(X2,X3,sK3)),X4),image3(X2,X3,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_3116]) ).
tcf(c_66075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK3)),X3)
| member(sK5(intersection(X0,image3(X1,X2,sK3)),X3),image3(X1,X2,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_1915]) ).
tcf(c_66077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK3),X2),X3)
| member(sK5(intersection(image3(X0,X1,sK3),X2),X3),image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_1580]) ).
tcf(c_66079,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK5(image3(X0,X1,sK3),X2),image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_34129,c_1210]) ).
tcf(c_66081,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,sK2,X0),intersection(image3(sK0,X1,sK3),sK1))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK6(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_34129,c_1463]) ).
tcf(c_66401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X3)
| member(sK5(X1,X3),intersection(X2,sK3))
| ~ subset(sK1,X2)
| ~ subset(X1,sK3)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_12201]) ).
tcf(c_66402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X2,sK3),X3)
| member(sK5(intersection(X2,sK3),X3),intersection(X1,sK3))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_10326]) ).
tcf(c_66403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X2,intersection(sK3,X3)),X4)
| member(sK5(intersection(X2,intersection(sK3,X3)),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK3),X1) ),
inference(superposition,[status(thm)],[c_39490,c_1913]) ).
tcf(c_66404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK4,X2),X3)
| member(sK5(intersection(sK4,X2),X3),intersection(X1,sK3))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_7220]) ).
tcf(c_66405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(sK3,X2),X3)
| member(sK5(intersection(sK3,X2),X3),intersection(X1,sK3))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_6977]) ).
tcf(c_66406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(sK3,X2),X3),X4)
| member(sK5(intersection(intersection(sK3,X2),X3),X4),X1)
| ~ subset(sK1,X0)
| ~ subset(intersection(X0,sK3),X1) ),
inference(superposition,[status(thm)],[c_39490,c_1578]) ).
tcf(c_66407,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK4,X2)
| member(sK5(sK4,X2),intersection(X1,sK3))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_2293]) ).
tcf(c_66408,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK5(sK3,X2),intersection(X1,sK3))
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_2222]) ).
tcf(c_66410,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK3))
| ~ subset(sK2,sK4)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_1345]) ).
tcf(c_66411,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK3))
| ~ subset(sK2,sK3)
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK1,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_1284]) ).
tcf(c_66412,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,sK2,X2),intersection(X1,sK3))
| ~ member(X2,sK1)
| ~ subset(sK1,X1)
| ~ subset(sK2,intersection(sK3,X0)) ),
inference(superposition,[status(thm)],[c_39490,c_994]) ).
tcf(c_66413,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X2,sK3))
| ~ member(X0,sK3)
| ~ subset(sK1,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_39490,c_1094]) ).
tcf(c_66415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,intersection(sK3,X3)),X4)
| member(sK5(image3(X1,X2,intersection(sK3,X3)),X4),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39490,c_3115]) ).
tcf(c_66417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(sK3,X2)),X3)
| member(sK5(intersection(X1,intersection(sK3,X2)),X3),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39490,c_1914]) ).
tcf(c_66419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(sK3,X1),X2),X3)
| member(sK5(intersection(intersection(sK3,X1),X2),X3),sK3)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_39490,c_1579]) ).
tcf(c_66497,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_55,c_62921]) ).
tcf(c_66498,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_933,c_62921]) ).
tcf(c_66499,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_941,c_62921]) ).
tcf(c_66500,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_948,c_62921]) ).
tcf(c_66501,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_62921]) ).
tcf(c_66502,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_62921]) ).
tcf(c_66503,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1081,c_62921]) ).
tcf(c_66504,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_62921]) ).
tcf(c_66505,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_62921]) ).
tcf(c_66506,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_62921]) ).
tcf(c_66507,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_973,c_62921]) ).
tcf(c_66508,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_974,c_62921]) ).
tcf(c_66509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_975,c_62921]) ).
tcf(c_66510,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1052,c_62921]) ).
tcf(c_66511,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_62921]) ).
tcf(c_66512,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1109,c_62921]) ).
tcf(c_66513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1110,c_62921]) ).
tcf(c_66514,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_62921]) ).
tcf(c_66515,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1167,c_62921]) ).
tcf(c_66516,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1168,c_62921]) ).
tcf(c_66517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1170,c_62921]) ).
tcf(c_66518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1171,c_62921]) ).
tcf(c_66519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_62921]) ).
tcf(c_66520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1239,c_62921]) ).
tcf(c_66521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1240,c_62921]) ).
tcf(c_66522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1243,c_62921]) ).
tcf(c_66523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_62921]) ).
tcf(c_66524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1641,c_62921]) ).
tcf(c_66525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1642,c_62921]) ).
tcf(c_66526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1645,c_62921]) ).
tcf(c_66527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_62921]) ).
tcf(c_66528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1722,c_62921]) ).
tcf(c_66529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1723,c_62921]) ).
tcf(c_66530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_1726,c_62921]) ).
tcf(c_66531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_62921]) ).
tcf(c_66532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2012,c_62921]) ).
tcf(c_66533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2013,c_62921]) ).
tcf(c_66534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2016,c_62921]) ).
tcf(c_66535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_62921]) ).
tcf(c_66536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2081,c_62921]) ).
tcf(c_66537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2082,c_62921]) ).
tcf(c_66538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2085,c_62921]) ).
tcf(c_66539,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2184,c_62921]) ).
tcf(c_66540,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2185,c_62921]) ).
tcf(c_66541,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16125,c_62921]) ).
tcf(c_66542,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16153,c_62921]) ).
tcf(c_66543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_62921]) ).
tcf(c_66544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_62921]) ).
tcf(c_66545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2781,c_62921]) ).
tcf(c_66546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2782,c_62921]) ).
tcf(c_66547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_62921]) ).
tcf(c_66548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_2987,c_62921]) ).
tcf(c_66549,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_62921]) ).
tcf(c_66550,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_62921]) ).
tcf(c_66551,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_62921]) ).
tcf(c_66552,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_62921]) ).
tcf(c_66553,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_62921]) ).
tcf(c_66554,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_62921]) ).
tcf(c_66555,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6874,c_62921]) ).
tcf(c_66556,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_6875,c_62921]) ).
tcf(c_66557,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16195,c_62921]) ).
tcf(c_66558,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_8914,c_62921]) ).
tcf(c_66559,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_62921]) ).
tcf(c_66562,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16431,c_62921]) ).
tcf(c_66563,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(superposition,[status(thm)],[c_16432,c_62921]) ).
tcf(c_66626,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66556,c_927]) ).
tcf(c_67045,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK1,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_55,c_63423]) ).
tcf(c_67046,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK1,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK1,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_933,c_63423]) ).
tcf(c_67047,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK1),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK1),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_941,c_63423]) ).
tcf(c_67048,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_948,c_63423]) ).
tcf(c_67049,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_8916,c_63423]) ).
tcf(c_67050,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_958,c_63423]) ).
tcf(c_67052,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1069,c_63423]) ).
tcf(c_67053,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_959,c_63423]) ).
tcf(c_67054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_972,c_63423]) ).
tcf(c_67055,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(X0,sK1),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,sK1),X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_973,c_63423]) ).
tcf(c_67056,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(intersection(sK1,X0),X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(sK1,X0),X1),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_974,c_63423]) ).
tcf(c_67057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,X1,sK1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,sK1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_975,c_63423]) ).
tcf(c_67059,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_1051,c_63423]) ).
tcf(c_67060,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(image3(X0,sK1,X1),X2)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1109,c_63423]) ).
tcf(c_67061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(image3(X0,sK1,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(image3(X0,sK1,X1),X2),X3)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1110,c_63423]) ).
tcf(c_67062,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X1,X0),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,X0),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1166,c_63423]) ).
tcf(c_67063,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(X1,sK1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,sK1)),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1167,c_63423]) ).
tcf(c_67064,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(intersection(X0,intersection(sK1,X1)),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(sK1,X1)),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1168,c_63423]) ).
tcf(c_67065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,image3(X0,sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X0,sK1,sK5(intersection(X1,image3(X0,sK1,X2)),X3)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1170,c_63423]) ).
tcf(c_67066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,image3(X1,X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,sK1)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1171,c_63423]) ).
tcf(c_67067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X1,X2,X0),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1238,c_63423]) ).
tcf(c_67068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(X2,sK1)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(X2,sK1)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1239,c_63423]) ).
tcf(c_67069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,intersection(sK1,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,intersection(sK1,X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1240,c_63423]) ).
tcf(c_67070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,image3(X2,X3,sK1)),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1243,c_63423]) ).
tcf(c_67071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X1,X0),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X1,X0),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1640,c_63423]) ).
tcf(c_67072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(X1,sK1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(X1,sK1)),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1641,c_63423]) ).
tcf(c_67073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,intersection(sK1,X1)),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,intersection(sK1,X1)),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1642,c_63423]) ).
tcf(c_67074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,image3(X1,X2,sK1)),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1645,c_63423]) ).
tcf(c_67075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(X0,X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(X0,X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1721,c_63423]) ).
tcf(c_67076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(X0,sK1),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(X0,sK1),X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1722,c_63423]) ).
tcf(c_67077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(intersection(intersection(sK1,X0),X1),X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(intersection(sK1,X0),X1),X2),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1723,c_63423]) ).
tcf(c_67078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(intersection(image3(X0,X1,sK1),X2),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_1726,c_63423]) ).
tcf(c_67079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X2,X0)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X2,X0)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2011,c_63423]) ).
tcf(c_67080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(X2,sK1))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(X2,sK1))),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2012,c_63423]) ).
tcf(c_67081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(X1,intersection(sK1,X2))),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,intersection(sK1,X2))),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2013,c_63423]) ).
tcf(c_67082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(X1,image3(X2,X3,sK1))),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2016,c_63423]) ).
tcf(c_67083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X1,intersection(X0,X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,intersection(X0,X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2080,c_63423]) ).
tcf(c_67084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(X1,sK1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(X1,sK1),X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2081,c_63423]) ).
tcf(c_67085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(intersection(X0,intersection(intersection(sK1,X1),X2)),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(intersection(sK1,X1),X2)),X3))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2082,c_63423]) ).
tcf(c_67086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,intersection(image3(X1,X2,sK1),X3)),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2085,c_63423]) ).
tcf(c_67087,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2184,c_63423]) ).
tcf(c_67088,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2185,c_63423]) ).
tcf(c_67089,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK3,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16125,c_63423]) ).
tcf(c_67090,plain,
! [X0: $i] :
( subset(sK4,X0)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(sK4,X0))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16153,c_63423]) ).
tcf(c_67091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,X0,sK5(image3(X1,X0,X2),X3)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2752,c_63423]) ).
tcf(c_67092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X1,X2,X0),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X1,X2,X0),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2780,c_63423]) ).
tcf(c_67093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(X2,sK1)),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2781,c_63423]) ).
tcf(c_67094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(image3(X0,X1,intersection(sK1,X2)),X3),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2782,c_63423]) ).
tcf(c_67095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X1,image3(X2,X3,X0)),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X1,image3(X2,X3,X0)),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_2986,c_63423]) ).
tcf(c_67096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,image3(X1,X2,intersection(X3,sK1))),X4))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_2987,c_63423]) ).
tcf(c_67097,plain,
! [X0: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3592,c_63423]) ).
tcf(c_67098,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,X1,sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3612,c_63423]) ).
tcf(c_67099,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(X1,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(X1,sK1)) ),
inference(superposition,[status(thm)],[c_3613,c_63423]) ).
tcf(c_67100,plain,
! [X0: $i,X1: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,intersection(sK1,X1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,intersection(sK1,X1)) ),
inference(superposition,[status(thm)],[c_3614,c_63423]) ).
tcf(c_67101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(X1,sK1,sK7(sK0,image3(X1,sK1,X2),sK6(sK0,sK2,X0))))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_3616,c_63423]) ).
tcf(c_67102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK7(sK0,image3(X1,X2,sK1),sK6(sK0,sK2,X0)))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_3617,c_63423]) ).
tcf(c_67103,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6874,c_63423]) ).
tcf(c_67104,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_6875,c_63423]) ).
tcf(c_67105,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK3,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK3,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16195,c_63423]) ).
tcf(c_67106,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) )
| ~ subset(sK1,sK1)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_8914,c_63423]) ).
tcf(c_67107,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(X0,X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3)
| ~ subset(X0,sK3) ),
inference(superposition,[status(thm)],[c_16434,c_63423]) ).
tcf(c_67110,plain,
! [X0: $i,X1: $i] :
( subset(intersection(X0,sK3),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(X0,sK3),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16431,c_63423]) ).
tcf(c_67111,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(image3(X0,X1,sK3),X2))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_16432,c_63423]) ).
tcf(c_67170,plain,
! [X0: $i,X1: $i] :
( subset(intersection(sK4,X0),X1)
| ( sK6(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))))) = sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK6(sK0,sK2,sK5(intersection(sK4,X0),X1))))))))))))))))))))))))) )
| ~ subset(sK2,sK3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67104,c_927]) ).
tcf(c_67473,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_67170,c_67111,c_67110,c_67107,c_67106,c_67105,c_67104,c_67103,c_67102,c_67101,c_67100,c_67099,c_67098,c_67097,c_67096,c_67095,c_67094,c_67093,c_67092,c_67091,c_67090,c_67089,c_67088,c_67087,c_67086,c_67085,c_67084,c_67083,c_67082,c_67081,c_67080,c_67079,c_67078,c_67077,c_67076,c_67075,c_67074,c_67073,c_67072,c_67071,c_67070,c_67069,c_67068,c_67067,c_67066,c_67065,c_67064,c_67063,c_67062,c_67061,c_67060,c_67059,c_67057,c_67056,c_67055,c_67054,c_67053,c_67052,c_67050,c_67049,c_67048,c_67047,c_67046,c_67045,c_66626,c_66563,c_66562,c_66559,c_66558,c_66557,c_66556,c_66555,c_66554,c_66553,c_66552,c_66551,c_66550,c_66549,c_66548,c_66547,c_66546,c_66545,c_66544,c_66543,c_66542,c_66541,c_66540,c_66539,c_66538,c_66537,c_66536,c_66535,c_66534,c_66533,c_66532,c_66531,c_66530,c_66529,c_66528,c_66527,c_66526,c_66525,c_66524,c_66523,c_66522,c_66521,c_66520,c_66519,c_66518,c_66517,c_66516,c_66515,c_66514,c_66513,c_66512,c_66511,c_66510,c_66509,c_66508,c_66507,c_66506,c_66505,c_66504,c_66503,c_66502,c_66501,c_66500,c_66499,c_66498,c_66497,c_66419,c_66417,c_66415,c_66413,c_66412,c_66411,c_66410,c_66408,c_66407,c_66406,c_66405,c_66404,c_66403,c_66402,c_66401,c_66081,c_66079,c_66077,c_66075,c_66073,c_66072,c_66071,c_66070,c_66069,c_66068,c_66067,c_66066,c_66065,c_66064,c_66063,c_66062,c_66061,c_66020,c_66019,c_66018,c_66016,c_66015,c_66014,c_66013,c_66012,c_66011,c_66010,c_66009,c_65966,c_65965,c_65964,c_65963,c_65961,c_65960,c_65959,c_65958,c_65957,c_65956,c_65955,c_65954,c_65506,c_65500,c_65499,c_65498,c_65497,c_65496,c_65495,c_65494,c_65493,c_65492,c_65491,c_65490,c_65489,c_65486,c_65485,c_65484,c_65483,c_65482,c_65481,c_65479,c_65478,c_65477,c_65475,c_65474,c_65473,c_65472,c_65471,c_65470,c_65469,c_65468,c_65182,c_65181,c_65180,c_65179,c_65178,c_65177,c_65176,c_65175,c_65174,c_65173,c_65172,c_65171,c_65170,c_65168,c_65167,c_65166,c_65165,c_65164,c_65163,c_65162,c_65161,c_65160,c_65159,c_65158,c_65157,c_65156,c_65155,c_65154,c_65153,c_65152,c_65151,c_65150,c_65149,c_65148,c_65147,c_65146,c_65145,c_65144,c_65143,c_65142,c_65141,c_65140,c_65139,c_65138,c_65137,c_65136,c_65135,c_65134,c_65133,c_65132,c_65131,c_65130,c_65129,c_65128,c_65127,c_65126,c_65125,c_65124,c_65123,c_65122,c_65116,c_65115,c_65114,c_65113,c_65112,c_65111,c_65109,c_64999,c_64993,c_64992,c_64991,c_64990,c_64989,c_64988,c_64987,c_64986,c_64985,c_64984,c_64983,c_64982,c_64979,c_64978,c_64977,c_64976,c_64975,c_64974,c_64971,c_64970,c_64969,c_64967,c_64966,c_64965,c_64964,c_64963,c_64962,c_64961,c_64960,c_64321,c_64320,c_64319,c_64318,c_64317,c_64316,c_64315,c_64314,c_64313,c_64312,c_64311,c_64310,c_64309,c_64307,c_64306,c_64305,c_64304,c_64303,c_64302,c_64301,c_64300,c_64299,c_64298,c_64297,c_64296,c_64295,c_64294,c_64293,c_64292,c_64291,c_64290,c_64289,c_64288,c_64287,c_64286,c_64285,c_64284,c_64283,c_64282,c_64281,c_64280,c_64279,c_64278,c_64277,c_64276,c_64275,c_64274,c_64273,c_64272,c_64271,c_64270,c_64269,c_64268,c_64267,c_64266,c_64265,c_64264,c_64263,c_64262,c_64261,c_64255,c_64254,c_64253,c_64252,c_64251,c_64250,c_64248,c_63911,c_63909,c_63907,c_63905,c_63904,c_63903,c_63902,c_63901,c_63900,c_63899,c_63898,c_63897,c_63896,c_63895,c_63894,c_63893,c_63892,c_63532,c_63473,c_63472,c_63469,c_63468,c_63467,c_63466,c_63465,c_63464,c_63463,c_63462,c_63461,c_63460,c_63459,c_63458,c_63457,c_63456,c_63455,c_63454,c_63453,c_63452,c_63451,c_63450,c_63449,c_63448,c_63447,c_63446,c_63445,c_63444,c_63443,c_63442,c_63441,c_63440,c_63439,c_63438,c_63437,c_63436,c_63435,c_63434,c_63433,c_63432,c_63431,c_63430,c_63429,c_63428,c_63427,c_63426,c_63425,c_63424,c_63423,c_63421,c_63420,c_63419,c_63418,c_63417,c_63416,c_63414,c_63413,c_63412,c_63411,c_63410,c_63409,c_63035,c_62972,c_62971,c_62968,c_62967,c_62966,c_62965,c_62964,c_62963,c_62962,c_62961,c_62960,c_62959,c_62958,c_62957,c_62956,c_62955,c_62954,c_62953,c_62952,c_62951,c_62950,c_62949,c_62948,c_62947,c_62946,c_62945,c_62944,c_62943,c_62942,c_62941,c_62940,c_62939,c_62938,c_62937,c_62936,c_62935,c_62934,c_62933,c_62932,c_62931,c_62930,c_62929,c_62928,c_62927,c_62926,c_62925,c_62924,c_62923,c_62922,c_62921,c_62920,c_62919,c_62918,c_62917,c_62916,c_62915,c_62914,c_62913,c_62912,c_62911,c_62910,c_62909,c_62908,c_62542,c_62483,c_62482,c_62479,c_62478,c_62477,c_62476,c_62475,c_62474,c_62473,c_62472,c_62471,c_62470,c_62469,c_62468,c_62467,c_62466,c_62465,c_62464,c_62463,c_62462,c_62461,c_62460,c_62459,c_62458,c_62457,c_62456,c_62455,c_62454,c_62453,c_62452,c_62451,c_62450,c_62449,c_62448,c_62447,c_62446,c_62445,c_62444,c_62443,c_62442,c_62441,c_62440,c_62439,c_62438,c_62437,c_62436,c_62435,c_62434,c_62433,c_62431,c_62430,c_62429,c_62428,c_62427,c_62426,c_62424,c_62423,c_62422,c_62421,c_62420,c_62419,c_62079,c_62016,c_62015,c_62012,c_62011,c_62010,c_62009,c_62008,c_62007,c_62006,c_62005,c_62004,c_62003,c_62002,c_62001,c_62000,c_61999,c_61998,c_61997,c_61996,c_61995,c_61994,c_61993,c_61992,c_61991,c_61990,c_61989,c_61988,c_61987,c_61986,c_61985,c_61984,c_61983,c_61982,c_61981,c_61980,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET761+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.59 % Computer : n002.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Thu Sep 24 11:55:46 UTC 2026
% 0.11/10.59 % CPUTime :
% 0.11/10.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.62 Running first-order theorem proving
% 0.15/10.62 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.63
% 0.15/10.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.63
% 0.15/10.64 % Detected problem language: tptp
% 0.15/10.65 % Proving...
% 58.68/19.13 % SZS status Started for theBenchmark.p
% 58.68/19.13 % SZS status Theorem for theBenchmark.p
% 58.68/19.13
% 58.68/19.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 58.68/19.13
% 58.68/19.13 % ------ iProver source info
% 58.68/19.13
% 58.68/19.13 % git: date: 2026-07-19 20:42:38 +0200
% 58.68/19.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 58.68/19.13 % git: non_committed_changes: false
% 58.68/19.13
% 58.68/19.13 % ------ Parsing...
% 58.68/19.13 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 58.68/19.13
% 58.68/19.13 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 58.68/19.13
% 58.68/19.13 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 58.68/19.13
% 58.68/19.13 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 58.68/19.13 % ------ Proving...
% 58.68/19.13 % ------ Problem Properties
% 58.68/19.13
% 58.68/19.13 %
% 58.68/19.13 % clauses 17
% 58.68/19.13 % conjectures 2
% 58.68/19.13 % EPR 5
% 58.68/19.13 % Horn 16
% 58.68/19.13 % unary 2
% 58.68/19.13 % binary 10
% 58.68/19.13 % lits 44
% 58.68/19.13 % lits eq 2
% 58.68/19.13 % fd_pure 0
% 58.68/19.13 % fd_pseudo 0
% 58.68/19.13 % fd_cond 0
% 58.68/19.13 % fd_pseudo_cond 2
% 58.68/19.13 % AC symbols 0
% 58.68/19.13
% 58.68/19.13 % ------ Schedule dynamic 5 is on
% 58.68/19.13
% 58.68/19.13 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 58.68/19.13
% 58.68/19.13
% 58.68/19.13 % ------
% 58.68/19.13 % Current options:
% 58.68/19.13 % ------
% 58.68/19.13
% 58.68/19.13
% 58.68/19.13 %
% 58.68/19.13
% 58.68/19.13 % ------ Proving...
% 58.68/19.13 %
% 58.68/19.13
% 58.68/19.13 % SZS status Theorem for theBenchmark.p
% 58.68/19.13
% 58.68/19.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.68/19.33
% 58.68/19.33
%------------------------------------------------------------------------------