%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET970+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:49:13 PM UTC 2026
% Result : Theorem 285.55s 44.52s
% Output : CNFRefutation 285.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 3033 (1565 unt; 0 def)
% Number of atoms : 5171 (1742 equ)
% Maximal formula atoms : 18 ( 1 avg)
% Number of connectives : 3926 (1788 ~;2086 |; 43 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-5 aty)
% Number of variables : 6074 ( 2 sgn6052 !; 22 ?;5817 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f3,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = cartesian_product2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( X3 = ordered_pair(X4,X5)
& in(X5,X1)
& in(X4,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f8,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(f9,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f10,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f11,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f12,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
~ ( ! [X5,X6] :
~ ( in(X6,set_intersection2(X2,X4))
& in(X5,set_intersection2(X1,X3))
& X0 = ordered_pair(X5,X6) )
& in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_zfmisc_1) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f15,conjecture,
! [X0,X1,X2,X3] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2,X3] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f19,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f9]) ).
fof(f20,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f12]) ).
fof(f21,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6] :
( in(X6,set_intersection2(X2,X4))
& in(X5,set_intersection2(X1,X3))
& X0 = ordered_pair(X5,X6) )
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(ennf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
? [X0,X1,X2,X3] : cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) != set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),
inference(ennf_transformation,[],[f16]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ subset(X0,X2)
| ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ subset(X0,X2)
| ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] :
( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( cartesian_product2(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4,X5] :
( X3 = ordered_pair(X4,X5)
& in(X5,X1)
& in(X4,X0) ) )
& ( ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X1)
| ~ in(X4,X0) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X4,X5] :
( X3 = ordered_pair(X4,X5)
& in(X5,X1)
& in(X4,X0) ) )
& ( ~ in(X3,X2)
| ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X1)
| ~ in(X4,X0) ) ) )
| X2 = cartesian_product2(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( cartesian_product2(X0,X1) != X2
| ! [X8] :
( ( ~ in(X8,X2)
| ? [X11,X12] :
( ordered_pair(X11,X12) = X8
& in(X12,X1)
& in(X11,X0) ) )
& ( ! [X9,X10] :
( ordered_pair(X9,X10) != X8
| ~ in(X10,X1)
| ~ in(X9,X0) )
| in(X8,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X6,X7] :
( ordered_pair(X6,X7) = X3
& in(X7,X1)
& in(X6,X0) ) )
& ( ~ in(X3,X2)
| ! [X4,X5] :
( ordered_pair(X4,X5) != X3
| ~ in(X5,X1)
| ~ in(X4,X0) ) ) )
| X2 = cartesian_product2(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( cartesian_product2(X0,X1) != X2
| ! [X8] :
( ( ~ in(X8,X2)
| ( ordered_pair(sK3(X0,X1,X8),sK4(X0,X1,X8)) = X8
& in(sK4(X0,X1,X8),X1)
& in(sK3(X0,X1,X8),X0) ) )
& ( ! [X9,X10] :
( ordered_pair(X9,X10) != X8
| ~ in(X10,X1)
| ~ in(X9,X0) )
| in(X8,X2) ) ) )
& ( ( ( in(sK0(X0,X1,X2),X2)
| ( sK0(X0,X1,X2) = ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2))
& in(sK2(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),X0) ) )
& ( ~ in(sK0(X0,X1,X2),X2)
| ! [X4,X5] :
( ordered_pair(X4,X5) != sK0(X0,X1,X2)
| ~ in(X5,X1)
| ~ in(X4,X0) ) ) )
| X2 = cartesian_product2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X6,sK1(X0,X1,X2)),skolemize(X7,sK2(X0,X1,X2)),skolemize(X11,sK3(X0,X1,X8)),skolemize(X12,sK4(X0,X1,X8))],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK5(X0,X1),X0)
& ~ in(sK5(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f35]) ).
fof(f37,plain,
empty(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f10]) ).
fof(f38,plain,
~ empty(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f11]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4] :
( ( in(sK9(X0,X1,X2,X3,X4),set_intersection2(X2,X4))
& in(sK8(X0,X1,X2,X3,X4),set_intersection2(X1,X3))
& ordered_pair(sK8(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) = X0 )
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X5,sK8(X0,X1,X2,X3,X4)),skolemize(X6,sK9(X0,X1,X2,X3,X4))],[f23]) ).
fof(f40,plain,
cartesian_product2(set_intersection2(sK10,sK11),set_intersection2(sK12,sK13)) != set_intersection2(cartesian_product2(sK10,sK12),cartesian_product2(sK11,sK13)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13)],[f26]) ).
fof(f41,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f43,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f46,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| ordered_pair(sK3(X0,X1,X8),sK4(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f33]) ).
fof(f48,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| in(sK4(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| in(sK3(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X2,X10,X0,X1,X8,X9] :
( cartesian_product2(X0,X1) != X2
| ordered_pair(X9,X10) != X8
| ~ in(X10,X1)
| ~ in(X9,X0)
| in(X8,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X2)
| sK0(X0,X1,X2) = ordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2))
| cartesian_product2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X2)
| in(sK2(X0,X1,X2),X1)
| cartesian_product2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X0)
| cartesian_product2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X2,X0,X1,X4,X5] :
( ~ in(sK0(X0,X1,X2),X2)
| ordered_pair(X4,X5) != sK0(X0,X1,X2)
| ~ in(X5,X1)
| ~ in(X4,X0)
| cartesian_product2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f56,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f59,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f19]) ).
fof(f61,plain,
empty(sK6),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
~ empty(sK7),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] :
( in(sK9(X0,X1,X2,X3,X4),set_intersection2(X2,X4))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( in(sK8(X0,X1,X2,X3,X4),set_intersection2(X1,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(cnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( ordered_pair(sK8(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)) = X0
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(cnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f68,plain,
cartesian_product2(set_intersection2(sK10,sK11),set_intersection2(sK12,sK13)) != set_intersection2(cartesian_product2(sK10,sK12),cartesian_product2(sK11,sK13)),
inference(cnf_transformation,[],[f40]) ).
fof(f69,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f17]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ subset(X0,X2)
| ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f71,plain,
! [X2,X0,X1,X4,X5] :
( ~ in(sK0(X0,X1,X2),X2)
| sK0(X0,X1,X2) != unordered_pair(unordered_pair(X4,X5),singleton(X4))
| ~ in(X5,X1)
| ~ in(X4,X0)
| cartesian_product2(X0,X1) = X2 ),
inference(definition_unfolding,[],[f54,f58]) ).
fof(f72,plain,
! [X2,X0,X1] :
( in(sK0(X0,X1,X2),X2)
| sK0(X0,X1,X2) = unordered_pair(unordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),singleton(sK1(X0,X1,X2)))
| cartesian_product2(X0,X1) = X2 ),
inference(definition_unfolding,[],[f51,f58]) ).
fof(f73,plain,
! [X2,X10,X0,X1,X8,X9] :
( cartesian_product2(X0,X1) != X2
| unordered_pair(unordered_pair(X9,X10),singleton(X9)) != X8
| ~ in(X10,X1)
| ~ in(X9,X0)
| in(X8,X2) ),
inference(definition_unfolding,[],[f50,f58]) ).
fof(f74,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| unordered_pair(unordered_pair(sK3(X0,X1,X8),sK4(X0,X1,X8)),singleton(sK3(X0,X1,X8))) = X8 ),
inference(definition_unfolding,[],[f47,f58]) ).
fof(f75,plain,
! [X0,X1] : ~ empty(unordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(definition_unfolding,[],[f59,f58]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4] :
( unordered_pair(unordered_pair(sK8(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)),singleton(sK8(X0,X1,X2,X3,X4))) = X0
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(definition_unfolding,[],[f66,f58]) ).
fof(f79,plain,
! [X2,X10,X0,X1,X9] :
( cartesian_product2(X0,X1) != X2
| ~ in(X10,X1)
| ~ in(X9,X0)
| in(unordered_pair(unordered_pair(X9,X10),singleton(X9)),X2) ),
inference(equality_resolution,[],[f73]) ).
fof(f80,plain,
! [X10,X0,X1,X9] :
( ~ in(X10,X1)
| ~ in(X9,X0)
| in(unordered_pair(unordered_pair(X9,X10),singleton(X9)),cartesian_product2(X0,X1)) ),
inference(equality_resolution,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X8] :
( ~ in(X8,cartesian_product2(X0,X1))
| in(sK3(X0,X1,X8),X0) ),
inference(equality_resolution,[],[f49]) ).
fof(f82,plain,
! [X0,X1,X8] :
( ~ in(X8,cartesian_product2(X0,X1))
| in(sK4(X0,X1,X8),X1) ),
inference(equality_resolution,[],[f48]) ).
fof(f83,plain,
! [X0,X1,X8] :
( ~ in(X8,cartesian_product2(X0,X1))
| unordered_pair(unordered_pair(sK3(X0,X1,X8),sK4(X0,X1,X8)),singleton(sK3(X0,X1,X8))) = X8 ),
inference(equality_resolution,[],[f74]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f42]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f43]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cartesian_product2(X2,X3) = X4 )
| ~ in(X1,X3)
| ~ in(X0,X2)
| ~ in(sK0(X2,X3,X4),X4)
| ( unordered_pair(unordered_pair(X0,X1),singleton(X0)) != sK0(X2,X3,X4) ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK1(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X2)
| ( cartesian_product2(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK2(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2)
| ( cartesian_product2(X0,X1) = X2 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X0,X1,X2),X2)
| ( cartesian_product2(X0,X1) = X2 )
| ( unordered_pair(unordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2)),singleton(sK1(X0,X1,X2))) = sK0(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),cartesian_product2(X1,X3))
| ~ in(X2,X3)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK3(X1,X2,X0),X1)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK4(X1,X2,X0),X2)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unordered_pair(unordered_pair(sK3(X1,X2,X0),sK4(X1,X2,X0)),singleton(sK3(X1,X2,X0))) = X0 )
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ subset(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : ~ empty(unordered_pair(unordered_pair(X0,X1),singleton(X0))),
inference(cnf_transformation,[],[f75]) ).
tcf(c_67,plain,
! [X0: $i] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f60]) ).
tcf(c_68,plain,
empty(sK6),
inference(cnf_transformation,[],[f61]) ).
tcf(c_69,plain,
~ empty(sK7),
inference(cnf_transformation,[],[f62]) ).
tcf(c_70,plain,
! [X0: $i] : subset(X0,X0),
inference(cnf_transformation,[],[f63]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( unordered_pair(unordered_pair(sK8(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4)),singleton(sK8(X0,X1,X2,X3,X4))) = X0 )
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,X1,X2,X3,X4),set_intersection2(X1,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,X2,X3,X4),set_intersection2(X2,X4))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_75,negated_conjecture,
set_intersection2(cartesian_product2(sK10,sK12),cartesian_product2(sK11,sK13)) != cartesian_product2(set_intersection2(sK10,sK11),set_intersection2(sK12,sK13)),
inference(cnf_transformation,[],[f68]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f69]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] : ~ empty(unordered_pair(singleton(X0),unordered_pair(X0,X1))),
inference(demodulation,[status(thm)],[c_66,c_50]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),cartesian_product2(X1,X3))
| ~ in(X2,X3)
| ~ in(X0,X1) ),
inference(demodulation,[status(thm)],[c_59,c_50]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unordered_pair(singleton(sK3(X1,X2,X0)),unordered_pair(sK3(X1,X2,X0),sK4(X1,X2,X0))) = X0 )
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(demodulation,[status(thm)],[c_62,c_50]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X0,X1,X2),X2)
| ( cartesian_product2(X0,X1) = X2 )
| ( unordered_pair(singleton(sK1(X0,X1,X2)),unordered_pair(sK1(X0,X1,X2),sK2(X0,X1,X2))) = sK0(X0,X1,X2) ) ),
inference(demodulation,[status(thm)],[c_58,c_50]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( unordered_pair(singleton(sK8(X0,X1,X2,X3,X4)),unordered_pair(sK8(X0,X1,X2,X3,X4),sK9(X0,X1,X2,X3,X4))) = X0 )
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(demodulation,[status(thm)],[c_71,c_50]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cartesian_product2(X2,X3) = X4 )
| ~ in(X1,X3)
| ~ in(X0,X2)
| ~ in(sK0(X2,X3,X4),X4)
| ( unordered_pair(singleton(X0),unordered_pair(X0,X1)) != sK0(X2,X3,X4) ) ),
inference(demodulation,[status(thm)],[c_55,c_50]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_51,c_76]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_52]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_717,c_52]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK5(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_728,c_65]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_730]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_731]) ).
tcf(c_867,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_779,c_70,c_779]) ).
tcf(c_873,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),X1) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_717,c_867]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_781,c_70,c_781]) ).
tcf(c_890,plain,
! [X0: $i,X1: $i] : set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76,c_886]) ).
tcf(c_892,plain,
! [X0: $i,X1: $i] : set_intersection2(X0,set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_717,c_886]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_890,c_730]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_892,c_730]) ).
tcf(c_1051,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_51,c_76]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_873,c_731]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(X0,sK5(X0,X1)) ),
inference(superposition,[status(thm)],[c_64,c_49]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i] : ~ empty(unordered_pair(singleton(X0),unordered_pair(X1,X0))),
inference(superposition,[status(thm)],[c_50,c_209]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_1115,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_52]) ).
tcf(c_1116,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_1051,c_52]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK3(X1,X2,X0),X3)
| ~ subset(X1,X3)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ in(X2,cartesian_product2(X0,X1))
| ~ in(X0,sK3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_60,c_49]) ).
tcf(c_1149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK4(X1,X2,X0),X3)
| ~ subset(X2,X3)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_61,c_65]) ).
tcf(c_1150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ in(X2,cartesian_product2(X1,X0))
| ~ in(X0,sK4(X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_61,c_49]) ).
tcf(c_1208,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X0)) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_67,c_1047]) ).
tcf(c_1228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK5(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1113,c_65]) ).
tcf(c_1229,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| ~ subset(X1,X0)
| ~ in(X0,sK5(X1,X2)) ),
inference(superposition,[status(thm)],[c_1113,c_49]) ).
tcf(c_1231,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| subset(sK5(X0,X1),X2)
| ~ subset(X0,sK5(sK5(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1113,c_1063]) ).
tcf(c_1274,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_1048]) ).
tcf(c_1308,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_1059]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_1115]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_51,c_1116]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_77]) ).
tcf(c_1408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X1) = X2 )
| ~ subset(X2,X1)
| ~ subset(X2,X0)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_77,c_52]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_1115]) ).
tcf(c_1412,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_1116]) ).
tcf(c_1509,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,X0)) = X0,
inference(global_subsumption_just,[status(thm)],[c_1208,c_70,c_1208]) ).
tcf(c_1520,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_1509,c_1047]) ).
tcf(c_1545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cartesian_product2(X0,X1) = cartesian_product2(X2,X3) )
| ~ subset(X3,X1)
| ~ subset(X2,X0)
| ~ subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) ),
inference(superposition,[status(thm)],[c_74,c_52]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK1(X0,X2,X3),X1)
| in(sK0(X0,X2,X3),X3)
| ( cartesian_product2(X0,X2) = X3 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_1547,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X0,X1,X2),X2)
| ( cartesian_product2(X0,X1) = X2 )
| ~ in(X0,sK1(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_56,c_49]) ).
tcf(c_1548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK1(X2,X3,X0),X2)
| in(sK0(X2,X3,X0),X1)
| ( cartesian_product2(X2,X3) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_1549,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK1(X1,X2,X0),X1)
| ( cartesian_product2(X1,X2) = X0 )
| ~ in(X0,sK0(X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_56,c_49]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK2(X2,X0,X3),X1)
| in(sK0(X2,X0,X3),X3)
| ( cartesian_product2(X2,X0) = X3 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_1624,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X1,X0,X2),X2)
| ( cartesian_product2(X1,X0) = X2 )
| ~ in(X0,sK2(X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_57,c_49]) ).
tcf(c_1625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK2(X2,X3,X0),X3)
| in(sK0(X2,X3,X0),X1)
| ( cartesian_product2(X2,X3) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_1626,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK2(X1,X2,X0),X2)
| ( cartesian_product2(X1,X2) = X0 )
| ~ in(X0,sK0(X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_57,c_49]) ).
tcf(c_1710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| ~ in(X3,cartesian_product2(sK5(X0,X1),X2))
| ~ subset(X0,sK3(sK5(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_1113,c_1118]) ).
tcf(c_1731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X2)
| ~ in(X3,cartesian_product2(X1,sK5(X0,X2)))
| ~ subset(X0,sK4(X1,sK5(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_1113,c_1150]) ).
tcf(c_1732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK2(X1,X2,sK5(X0,X3)),X2)
| ( cartesian_product2(X1,X2) = sK5(X0,X3) )
| ~ subset(X0,sK0(X1,X2,sK5(X0,X3))) ),
inference(superposition,[status(thm)],[c_57,c_1229]) ).
tcf(c_1733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK1(X1,X2,sK5(X0,X3)),X1)
| ( cartesian_product2(X1,X2) = sK5(X0,X3) )
| ~ subset(X0,sK0(X1,X2,sK5(X0,X3))) ),
inference(superposition,[status(thm)],[c_56,c_1229]) ).
tcf(c_1734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| in(sK0(sK5(X0,X1),X2,X3),X3)
| ( cartesian_product2(sK5(X0,X1),X2) = X3 )
| ~ subset(X0,sK1(sK5(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_56,c_1229]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X2)
| in(sK0(X1,sK5(X0,X2),X3),X3)
| ( cartesian_product2(X1,sK5(X0,X2)) = X3 )
| ~ subset(X0,sK2(X1,sK5(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_57,c_1229]) ).
tcf(c_1739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| subset(X0,X3)
| ~ subset(X1,sK5(X0,X3))
| ~ subset(X0,sK5(X1,X2)) ),
inference(superposition,[status(thm)],[c_1113,c_1229]) ).
tcf(c_1847,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X1) = X0 )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1410,c_70,c_779]) ).
tcf(c_1850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) = cartesian_product2(X0,X2) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1847]) ).
tcf(c_1851,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76,c_1847]) ).
tcf(c_1852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X2)) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_1847]) ).
tcf(c_1853,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),X1) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_1051,c_1847]) ).
tcf(c_1854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X2,X1)) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_1847]) ).
tcf(c_2029,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1851,c_1358]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1851,c_1116]) ).
tcf(c_2032,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_1851,c_1851]) ).
tcf(c_2036,plain,
! [X0: $i,X1: $i] : set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_1851,c_51]) ).
tcf(c_2037,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_1851,c_76]) ).
tcf(c_2242,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_1853,c_1358]) ).
tcf(c_2243,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_1853,c_1116]) ).
tcf(c_2247,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1853,c_1396]) ).
tcf(c_2250,plain,
! [X0: $i,X1: $i] : set_intersection2(X0,set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_1853,c_51]) ).
tcf(c_2426,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X0) = X0 )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1412,c_70,c_781]) ).
tcf(c_2429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(cartesian_product2(X1,X3),cartesian_product2(X0,X2)) = cartesian_product2(X0,X2) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_2426]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X2),X0) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_2426]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X1),X0) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_2426]) ).
tcf(c_2661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X2,X0)),cartesian_product2(X1,X3))
| ~ in(X2,X3)
| ~ in(X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_210]) ).
tcf(c_2663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(unordered_pair(singleton(X3),unordered_pair(X3,X4)),X2)
| ~ in(X4,X1)
| ~ in(X3,X0)
| ~ subset(cartesian_product2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_210,c_65]) ).
tcf(c_2664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ in(X3,X1)
| ~ in(X2,X0)
| ~ in(cartesian_product2(X0,X1),unordered_pair(singleton(X2),unordered_pair(X2,X3))) ),
inference(superposition,[status(thm)],[c_210,c_49]) ).
tcf(c_2709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,X1,X2,X3,X4),set_intersection2(X3,X1))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_51,c_72]) ).
tcf(c_2711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_67,c_72]) ).
tcf(c_2712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,set_intersection2(X1,X2),X3,X1,X4),set_intersection2(X1,X2))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X2),X3),cartesian_product2(X1,X4))) ),
inference(superposition,[status(thm)],[c_1851,c_72]) ).
tcf(c_2713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,set_intersection2(X1,X2),X3,X2,X4),set_intersection2(X1,X2))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X2),X3),cartesian_product2(X2,X4))) ),
inference(superposition,[status(thm)],[c_1853,c_72]) ).
tcf(c_2714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,X3),X4),set_intersection2(X1,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,X3),X4))) ),
inference(superposition,[status(thm)],[c_2036,c_72]) ).
tcf(c_2715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X3,X1),X4),set_intersection2(X3,X1))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X3,X1),X4))) ),
inference(superposition,[status(thm)],[c_2250,c_72]) ).
tcf(c_2716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,set_intersection2(X1,X2),X3,set_intersection2(X1,X2),X4),set_intersection2(X1,X2))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X2),X3),cartesian_product2(set_intersection2(X1,X2),X4))) ),
inference(superposition,[status(thm)],[c_2032,c_72]) ).
tcf(c_2717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( in(sK8(X0,X1,X2,X3,X4),X5)
| ~ subset(set_intersection2(X1,X3),X5)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_72,c_65]) ).
tcf(c_2718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ in(X2,set_intersection2(cartesian_product2(X0,X3),cartesian_product2(X1,X4)))
| ~ in(set_intersection2(X0,X1),sK8(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_72,c_49]) ).
tcf(c_2981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,X2,X3,X4),set_intersection2(X4,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_51,c_73]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_67,c_73]) ).
tcf(c_2984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X3),X4,X2),set_intersection2(X2,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X3)),cartesian_product2(X4,X2))) ),
inference(superposition,[status(thm)],[c_1851,c_73]) ).
tcf(c_2985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X3),X4,X3),set_intersection2(X2,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X3)),cartesian_product2(X4,X3))) ),
inference(superposition,[status(thm)],[c_1853,c_73]) ).
tcf(c_2986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,X4)),set_intersection2(X2,X4))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,X4)))) ),
inference(superposition,[status(thm)],[c_2036,c_73]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X4,X2)),set_intersection2(X4,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X4,X2)))) ),
inference(superposition,[status(thm)],[c_2250,c_73]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X3),X4,set_intersection2(X2,X3)),set_intersection2(X2,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X3)),cartesian_product2(X4,set_intersection2(X2,X3)))) ),
inference(superposition,[status(thm)],[c_2032,c_73]) ).
tcf(c_2989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( in(sK9(X0,X1,X2,X3,X4),X5)
| ~ subset(set_intersection2(X2,X4),X5)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_73,c_65]) ).
tcf(c_2990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ in(X2,set_intersection2(cartesian_product2(X3,X0),cartesian_product2(X4,X1)))
| ~ in(set_intersection2(X0,X1),sK9(X2,X3,X0,X4,X1)) ),
inference(superposition,[status(thm)],[c_73,c_49]) ).
tcf(c_3188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK2(X2,X3,cartesian_product2(X0,X1)),X3)
| ( cartesian_product2(X0,X1) = cartesian_product2(X2,X3) )
| ( unordered_pair(singleton(sK3(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1)))),unordered_pair(sK3(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1))),sK4(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1))))) = sK0(X2,X3,cartesian_product2(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_57,c_211]) ).
tcf(c_3189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK1(X2,X3,cartesian_product2(X0,X1)),X2)
| ( cartesian_product2(X0,X1) = cartesian_product2(X2,X3) )
| ( unordered_pair(singleton(sK3(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1)))),unordered_pair(sK3(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1))),sK4(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1))))) = sK0(X2,X3,cartesian_product2(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_56,c_211]) ).
tcf(c_3190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK0(cartesian_product2(X0,X1),X2,X3),X3)
| ( cartesian_product2(cartesian_product2(X0,X1),X2) = X3 )
| ( unordered_pair(singleton(sK3(X0,X1,sK1(cartesian_product2(X0,X1),X2,X3))),unordered_pair(sK3(X0,X1,sK1(cartesian_product2(X0,X1),X2,X3)),sK4(X0,X1,sK1(cartesian_product2(X0,X1),X2,X3)))) = sK1(cartesian_product2(X0,X1),X2,X3) ) ),
inference(superposition,[status(thm)],[c_56,c_211]) ).
tcf(c_3191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK0(X2,cartesian_product2(X0,X1),X3),X3)
| ( cartesian_product2(X2,cartesian_product2(X0,X1)) = X3 )
| ( unordered_pair(singleton(sK3(X0,X1,sK2(X2,cartesian_product2(X0,X1),X3))),unordered_pair(sK3(X0,X1,sK2(X2,cartesian_product2(X0,X1),X3)),sK4(X0,X1,sK2(X2,cartesian_product2(X0,X1),X3)))) = sK2(X2,cartesian_product2(X0,X1),X3) ) ),
inference(superposition,[status(thm)],[c_57,c_211]) ).
tcf(c_3192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( unordered_pair(singleton(sK3(X1,X2,sK3(cartesian_product2(X1,X2),X3,X0))),unordered_pair(sK3(X1,X2,sK3(cartesian_product2(X1,X2),X3,X0)),sK4(X1,X2,sK3(cartesian_product2(X1,X2),X3,X0)))) = sK3(cartesian_product2(X1,X2),X3,X0) )
| ~ in(X0,cartesian_product2(cartesian_product2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_60,c_211]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( unordered_pair(singleton(sK3(X2,X3,sK4(X1,cartesian_product2(X2,X3),X0))),unordered_pair(sK3(X2,X3,sK4(X1,cartesian_product2(X2,X3),X0)),sK4(X2,X3,sK4(X1,cartesian_product2(X2,X3),X0)))) = sK4(X1,cartesian_product2(X2,X3),X0) )
| ~ in(X0,cartesian_product2(X1,cartesian_product2(X2,X3))) ),
inference(superposition,[status(thm)],[c_61,c_211]) ).
tcf(c_3194,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(cartesian_product2(X0,X1),X2)
| ( unordered_pair(singleton(sK3(X0,X1,sK5(cartesian_product2(X0,X1),X2))),unordered_pair(sK3(X0,X1,sK5(cartesian_product2(X0,X1),X2)),sK4(X0,X1,sK5(cartesian_product2(X0,X1),X2)))) = sK5(cartesian_product2(X0,X1),X2) ) ),
inference(superposition,[status(thm)],[c_64,c_211]) ).
tcf(c_3195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( unordered_pair(singleton(sK3(X1,X3,unordered_pair(singleton(X0),unordered_pair(X0,X2)))),unordered_pair(sK3(X1,X3,unordered_pair(singleton(X0),unordered_pair(X0,X2))),sK4(X1,X3,unordered_pair(singleton(X0),unordered_pair(X0,X2))))) = unordered_pair(singleton(X0),unordered_pair(X0,X2)) )
| ~ in(X2,X3)
| ~ in(X0,X1) ),
inference(superposition,[status(thm)],[c_210,c_211]) ).
tcf(c_3196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| ( unordered_pair(singleton(sK3(X1,X2,sK5(X0,X3))),unordered_pair(sK3(X1,X2,sK5(X0,X3)),sK4(X1,X2,sK5(X0,X3)))) = sK5(X0,X3) )
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1113,c_211]) ).
tcf(c_3455,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_2029]) ).
tcf(c_3457,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_2029]) ).
tcf(c_3459,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X0)) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_67,c_2029]) ).
tcf(c_3460,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1851,c_2029]) ).
tcf(c_3461,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1853,c_2029]) ).
tcf(c_3462,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2036,c_2029]) ).
tcf(c_3463,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_2250,c_2029]) ).
tcf(c_3464,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2032,c_2029]) ).
tcf(c_3623,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,X0)) = X0,
inference(global_subsumption_just,[status(thm)],[c_3459,c_70,c_1208]) ).
tcf(c_3627,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_3623,c_2250]) ).
tcf(c_3628,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_3623,c_1358]) ).
tcf(c_3629,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_3623,c_1116]) ).
tcf(c_3630,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_3623,c_2029]) ).
tcf(c_3637,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_3623,c_1051]) ).
tcf(c_3639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,X1),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,X1),X3))) ),
inference(superposition,[status(thm)],[c_3623,c_72]) ).
tcf(c_3640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,X2)),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,X2)))) ),
inference(superposition,[status(thm)],[c_3623,c_73]) ).
tcf(c_3854,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_3627,c_2029]) ).
tcf(c_3864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(X1,X1),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X1),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_3627,c_72]) ).
tcf(c_3865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X2),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X2)),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_3627,c_73]) ).
tcf(c_3981,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_2030]) ).
tcf(c_3984,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_2030]) ).
tcf(c_3987,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1851,c_2030]) ).
tcf(c_3988,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1853,c_2030]) ).
tcf(c_3989,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2036,c_2030]) ).
tcf(c_3990,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_2250,c_2030]) ).
tcf(c_3991,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2032,c_2030]) ).
tcf(c_3992,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_3627,c_2030]) ).
tcf(c_3993,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_3623,c_2030]) ).
tcf(c_4284,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_2242]) ).
tcf(c_4287,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_51,c_2242]) ).
tcf(c_4290,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1851,c_2242]) ).
tcf(c_4291,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_1853,c_2242]) ).
tcf(c_4292,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2036,c_2242]) ).
tcf(c_4293,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2250,c_2242]) ).
tcf(c_4295,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_3627,c_2242]) ).
tcf(c_4296,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_3623,c_2242]) ).
tcf(c_4821,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = X0 )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_2243]) ).
tcf(c_4824,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_51,c_2243]) ).
tcf(c_4827,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0) = X0 )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_1851,c_2243]) ).
tcf(c_4828,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0) = X0 )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_1853,c_2243]) ).
tcf(c_4829,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2036,c_2243]) ).
tcf(c_4830,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2250,c_2243]) ).
tcf(c_4832,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_3627,c_2243]) ).
tcf(c_4833,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_3623,c_2243]) ).
tcf(c_5138,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = X0,
inference(global_subsumption_just,[status(thm)],[c_3630,c_70,c_1520]) ).
tcf(c_5144,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5138,c_3457]) ).
tcf(c_5145,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5138,c_2243]) ).
tcf(c_5146,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5138,c_2242]) ).
tcf(c_5147,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_5138,c_2250]) ).
tcf(c_5148,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5138,c_1358]) ).
tcf(c_5149,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5138,c_1116]) ).
tcf(c_5150,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_5138,c_2030]) ).
tcf(c_5151,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_5138,c_2029]) ).
tcf(c_5158,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_5138,c_1051]) ).
tcf(c_5160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,set_intersection2(X1,X1)),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,set_intersection2(X1,X1)),X3))) ),
inference(superposition,[status(thm)],[c_5138,c_72]) ).
tcf(c_5161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,set_intersection2(X2,X2))),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,set_intersection2(X2,X2))))) ),
inference(superposition,[status(thm)],[c_5138,c_73]) ).
tcf(c_5640,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_5147,c_2243]) ).
tcf(c_5641,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_5147,c_2242]) ).
tcf(c_5646,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5147,c_2030]) ).
tcf(c_5657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(X1,set_intersection2(X1,X1)),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,set_intersection2(X1,X1)),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_5147,c_72]) ).
tcf(c_5658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(X2,set_intersection2(X2,X2)),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,set_intersection2(X2,X2))),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_5147,c_73]) ).
tcf(c_6046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK0(X2,X3,X0),X1)
| ( cartesian_product2(X2,X3) = X0 )
| ( unordered_pair(singleton(sK1(X2,X3,X0)),unordered_pair(sK1(X2,X3,X0),sK2(X2,X3,X0))) = sK0(X2,X3,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_212,c_65]) ).
tcf(c_6047,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cartesian_product2(X1,X2) = X0 )
| ( unordered_pair(singleton(sK1(X1,X2,X0)),unordered_pair(sK1(X1,X2,X0),sK2(X1,X2,X0))) = sK0(X1,X2,X0) )
| ~ in(X0,sK0(X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_212,c_49]) ).
tcf(c_6048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cartesian_product2(X0,X1) = cartesian_product2(X2,X3) )
| ( unordered_pair(singleton(sK1(X2,X3,cartesian_product2(X0,X1))),unordered_pair(sK1(X2,X3,cartesian_product2(X0,X1)),sK2(X2,X3,cartesian_product2(X0,X1)))) = sK0(X2,X3,cartesian_product2(X0,X1)) )
| ( unordered_pair(singleton(sK3(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1)))),unordered_pair(sK3(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1))),sK4(X0,X1,sK0(X2,X3,cartesian_product2(X0,X1))))) = sK0(X2,X3,cartesian_product2(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_212,c_211]) ).
tcf(c_6049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| ( cartesian_product2(X1,X2) = sK5(X0,X3) )
| ( unordered_pair(singleton(sK1(X1,X2,sK5(X0,X3))),unordered_pair(sK1(X1,X2,sK5(X0,X3)),sK2(X1,X2,sK5(X0,X3)))) = sK0(X1,X2,sK5(X0,X3)) )
| ~ subset(X0,sK0(X1,X2,sK5(X0,X3))) ),
inference(superposition,[status(thm)],[c_212,c_1229]) ).
tcf(c_6297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)) = cartesian_product2(X0,X1) )
| ( unordered_pair(singleton(sK1(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))),unordered_pair(sK1(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),sK2(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))))) = sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))) )
| ( unordered_pair(singleton(sK8(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5)),unordered_pair(sK8(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5),sK9(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5))) = sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))) ) ),
inference(superposition,[status(thm)],[c_212,c_213]) ).
tcf(c_6298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( in(sK2(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X1)
| ( set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)) = cartesian_product2(X0,X1) )
| ( unordered_pair(singleton(sK8(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5)),unordered_pair(sK8(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5),sK9(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5))) = sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))) ) ),
inference(superposition,[status(thm)],[c_57,c_213]) ).
tcf(c_6299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( in(sK1(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X0)
| ( set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)) = cartesian_product2(X0,X1) )
| ( unordered_pair(singleton(sK8(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5)),unordered_pair(sK8(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5),sK9(sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))),X2,X3,X4,X5))) = sK0(X0,X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5))) ) ),
inference(superposition,[status(thm)],[c_56,c_213]) ).
tcf(c_6300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( in(sK0(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4,X5),X5)
| ( cartesian_product2(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4) = X5 )
| ( unordered_pair(singleton(sK8(sK1(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4,X5),X0,X1,X2,X3)),unordered_pair(sK8(sK1(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4,X5),X0,X1,X2,X3),sK9(sK1(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4,X5),X0,X1,X2,X3))) = sK1(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4,X5) ) ),
inference(superposition,[status(thm)],[c_56,c_213]) ).
tcf(c_6301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( in(sK0(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5),X5)
| ( cartesian_product2(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) = X5 )
| ( unordered_pair(singleton(sK8(sK2(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5),X1,X2,X3,X4)),unordered_pair(sK8(sK2(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5),X1,X2,X3,X4),sK9(sK2(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5),X1,X2,X3,X4))) = sK2(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5) ) ),
inference(superposition,[status(thm)],[c_57,c_213]) ).
tcf(c_6302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( unordered_pair(singleton(sK8(sK3(set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5,X0),X1,X2,X3,X4)),unordered_pair(sK8(sK3(set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5,X0),X1,X2,X3,X4),sK9(sK3(set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5,X0),X1,X2,X3,X4))) = sK3(set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5,X0) )
| ~ in(X0,cartesian_product2(set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)),X5)) ),
inference(superposition,[status(thm)],[c_60,c_213]) ).
tcf(c_6303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( unordered_pair(singleton(sK8(sK4(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)),X0),X2,X3,X4,X5)),unordered_pair(sK8(sK4(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)),X0),X2,X3,X4,X5),sK9(sK4(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)),X0),X2,X3,X4,X5))) = sK4(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)),X0) )
| ~ in(X0,cartesian_product2(X1,set_intersection2(cartesian_product2(X2,X3),cartesian_product2(X4,X5)))) ),
inference(superposition,[status(thm)],[c_61,c_213]) ).
tcf(c_6304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4)
| ( unordered_pair(singleton(sK8(sK5(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4),X0,X1,X2,X3)),unordered_pair(sK8(sK5(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4),X0,X1,X2,X3),sK9(sK5(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4),X0,X1,X2,X3))) = sK5(set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X2,X3)),X4) ) ),
inference(superposition,[status(thm)],[c_64,c_213]) ).
tcf(c_6305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( unordered_pair(singleton(sK8(sK8(X0,cartesian_product2(X1,X2),X3,cartesian_product2(X4,X5),X6),X1,X2,X4,X5)),unordered_pair(sK8(sK8(X0,cartesian_product2(X1,X2),X3,cartesian_product2(X4,X5),X6),X1,X2,X4,X5),sK9(sK8(X0,cartesian_product2(X1,X2),X3,cartesian_product2(X4,X5),X6),X1,X2,X4,X5))) = sK8(X0,cartesian_product2(X1,X2),X3,cartesian_product2(X4,X5),X6) )
| ~ in(X0,set_intersection2(cartesian_product2(cartesian_product2(X1,X2),X3),cartesian_product2(cartesian_product2(X4,X5),X6))) ),
inference(superposition,[status(thm)],[c_72,c_213]) ).
tcf(c_6306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( unordered_pair(singleton(sK8(sK9(X0,X1,cartesian_product2(X2,X3),X4,cartesian_product2(X5,X6)),X2,X3,X5,X6)),unordered_pair(sK8(sK9(X0,X1,cartesian_product2(X2,X3),X4,cartesian_product2(X5,X6)),X2,X3,X5,X6),sK9(sK9(X0,X1,cartesian_product2(X2,X3),X4,cartesian_product2(X5,X6)),X2,X3,X5,X6))) = sK9(X0,X1,cartesian_product2(X2,X3),X4,cartesian_product2(X5,X6)) )
| ~ in(X0,set_intersection2(cartesian_product2(X1,cartesian_product2(X2,X3)),cartesian_product2(X4,cartesian_product2(X5,X6)))) ),
inference(superposition,[status(thm)],[c_73,c_213]) ).
tcf(c_6307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(X0,X5)
| ( unordered_pair(singleton(sK8(sK5(X0,X5),X1,X2,X3,X4)),unordered_pair(sK8(sK5(X0,X5),X1,X2,X3,X4),sK9(sK5(X0,X5),X1,X2,X3,X4))) = sK5(X0,X5) )
| ~ subset(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_1113,c_213]) ).
tcf(c_6308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( unordered_pair(singleton(sK8(X0,X3,X4,X1,X2)),unordered_pair(sK8(X0,X3,X4,X1,X2),sK9(X0,X3,X4,X1,X2))) = X0 )
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_51,c_213]) ).
tcf(c_6310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( unordered_pair(singleton(sK8(X0,X1,X2,X1,X2)),unordered_pair(sK8(X0,X1,X2,X1,X2),sK9(X0,X1,X2,X1,X2))) = X0 )
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_67,c_213]) ).
tcf(c_7191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cartesian_product2(X2,X3) = X4 )
| ~ in(X1,X3)
| ~ in(X0,X2)
| ~ in(sK0(X2,X3,X4),X4)
| ( unordered_pair(singleton(X0),unordered_pair(X1,X0)) != sK0(X2,X3,X4) ) ),
inference(superposition,[status(thm)],[c_50,c_214]) ).
tcf(c_7196,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = X0,
inference(superposition,[status(thm)],[c_5158,c_4287]) ).
tcf(c_7215,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7196,c_3984]) ).
tcf(c_7216,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7196,c_3457]) ).
tcf(c_7217,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7196,c_2243]) ).
tcf(c_7218,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7196,c_2242]) ).
tcf(c_7219,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_7196,c_2250]) ).
tcf(c_7220,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7196,c_1358]) ).
tcf(c_7221,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7196,c_1116]) ).
tcf(c_7222,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_7196,c_4287]) ).
tcf(c_7223,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_7196,c_2030]) ).
tcf(c_7224,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_7196,c_2029]) ).
tcf(c_7231,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_7196,c_1051]) ).
tcf(c_7233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(set_intersection2(X1,X1),X1),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(set_intersection2(X1,X1),X1),X3))) ),
inference(superposition,[status(thm)],[c_7196,c_72]) ).
tcf(c_7234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(set_intersection2(X2,X2),X2)),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(set_intersection2(X2,X2),X2)))) ),
inference(superposition,[status(thm)],[c_7196,c_73]) ).
tcf(c_7689,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) = X0 )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_7219,c_2243]) ).
tcf(c_7707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(set_intersection2(X1,X1),X1),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(set_intersection2(X1,X1),X1),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_7219,c_72]) ).
tcf(c_7708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(set_intersection2(X2,X2),X2),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(set_intersection2(X2,X2),X2)),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_7219,c_73]) ).
tcf(c_7920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK3(X1,X2,X0),X4)
| ~ subset(X3,X4)
| ~ subset(X1,X3)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1117,c_65]) ).
tcf(c_7921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ subset(X1,X0)
| ~ in(X3,cartesian_product2(X1,X2))
| ~ in(X0,sK3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1117,c_49]) ).
tcf(c_7922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( unordered_pair(singleton(sK3(X3,X4,sK3(X1,X2,X0))),unordered_pair(sK3(X3,X4,sK3(X1,X2,X0)),sK4(X3,X4,sK3(X1,X2,X0)))) = sK3(X1,X2,X0) )
| ~ subset(X1,cartesian_product2(X3,X4))
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1117,c_211]) ).
tcf(c_7923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( unordered_pair(singleton(sK8(sK3(X0,X6,X5),X1,X2,X3,X4)),unordered_pair(sK8(sK3(X0,X6,X5),X1,X2,X3,X4),sK9(sK3(X0,X6,X5),X1,X2,X3,X4))) = sK3(X0,X6,X5) )
| ~ in(X5,cartesian_product2(X0,X6))
| ~ subset(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_1117,c_213]) ).
tcf(c_7924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3(X0,X1,X2),X3)
| ~ in(X2,cartesian_product2(X0,X1))
| ~ subset(X0,sK5(sK3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_1117,c_1063]) ).
tcf(c_7925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ in(X2,cartesian_product2(X0,X1))
| ~ in(X4,cartesian_product2(sK3(X0,X1,X2),X3))
| ~ subset(X0,sK3(sK3(X0,X1,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_1117,c_1118]) ).
tcf(c_7926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ in(X3,cartesian_product2(X0,X2))
| ~ in(X4,cartesian_product2(X1,sK3(X0,X2,X3)))
| ~ subset(X0,sK4(X1,sK3(X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_1117,c_1150]) ).
tcf(c_7927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| ~ subset(X1,sK5(X0,X4))
| ~ in(X3,cartesian_product2(X1,X2))
| ~ subset(X0,sK3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1117,c_1229]) ).
tcf(c_8466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK4(X1,X2,X0),X4)
| ~ subset(X3,X4)
| ~ subset(X2,X3)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1149,c_65]) ).
tcf(c_8467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ subset(X2,X0)
| ~ in(X3,cartesian_product2(X1,X2))
| ~ in(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1149,c_49]) ).
tcf(c_8468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( unordered_pair(singleton(sK3(X3,X4,sK4(X1,X2,X0))),unordered_pair(sK3(X3,X4,sK4(X1,X2,X0)),sK4(X3,X4,sK4(X1,X2,X0)))) = sK4(X1,X2,X0) )
| ~ subset(X2,cartesian_product2(X3,X4))
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1149,c_211]) ).
tcf(c_8469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( unordered_pair(singleton(sK8(sK4(X6,X0,X5),X1,X2,X3,X4)),unordered_pair(sK8(sK4(X6,X0,X5),X1,X2,X3,X4),sK9(sK4(X6,X0,X5),X1,X2,X3,X4))) = sK4(X6,X0,X5) )
| ~ in(X5,cartesian_product2(X6,X0))
| ~ subset(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_1149,c_213]) ).
tcf(c_8470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK4(X1,X0,X2),X3)
| ~ in(X2,cartesian_product2(X1,X0))
| ~ subset(X0,sK5(sK4(X1,X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_1149,c_1063]) ).
tcf(c_8471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ in(X2,cartesian_product2(X1,X0))
| ~ in(X4,cartesian_product2(sK4(X1,X0,X2),X3))
| ~ subset(X0,sK3(sK4(X1,X0,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_1149,c_1118]) ).
tcf(c_8472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ in(X3,cartesian_product2(X2,X0))
| ~ in(X4,cartesian_product2(X1,sK4(X2,X0,X3)))
| ~ subset(X0,sK4(X1,sK4(X2,X0,X3),X4)) ),
inference(superposition,[status(thm)],[c_1149,c_1150]) ).
tcf(c_8473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| ~ subset(X2,sK5(X0,X4))
| ~ in(X3,cartesian_product2(X1,X2))
| ~ subset(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1149,c_1229]) ).
tcf(c_8663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(cartesian_product2(X3,X4),X5)
| in(sK5(cartesian_product2(X3,X4),X5),X2)
| ~ subset(X4,X1)
| ~ subset(X3,X0)
| ~ subset(cartesian_product2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_74,c_1228]) ).
tcf(c_8664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X2),X3)
| in(sK5(set_intersection2(X0,X2),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_76,c_1228]) ).
tcf(c_8666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X2,X0),X3)
| in(sK5(set_intersection2(X2,X0),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1051,c_1228]) ).
tcf(c_8667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| in(sK5(X3,X4),X2)
| ~ subset(X3,X1)
| ~ subset(X3,X0)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1405,c_1228]) ).
tcf(c_8668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2037,c_1228]) ).
tcf(c_8669,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3637,c_1228]) ).
tcf(c_8670,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_5158,c_1228]) ).
tcf(c_8671,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_7231,c_1228]) ).
tcf(c_8738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK5(X0,X3),set_intersection2(X1,X2))
| ~ subset(set_intersection2(X0,X0),X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_77,c_8669]) ).
tcf(c_8740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK5(X0,X3),set_intersection2(X2,X1))
| ~ subset(set_intersection2(X0,X0),X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1405,c_8669]) ).
tcf(c_8741,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_2037,c_8669]) ).
tcf(c_8742,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_3637,c_8669]) ).
tcf(c_8743,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_5158,c_8669]) ).
tcf(c_8744,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_7231,c_8669]) ).
tcf(c_9067,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X1),X2)
| in(sK5(set_intersection2(X0,X1),X2),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2032,c_8741]) ).
tcf(c_9069,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(set_intersection2(X0,X0),sK5(X0,X1)) ),
inference(superposition,[status(thm)],[c_8741,c_49]) ).
tcf(c_9071,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(cartesian_product2(X0,X1),X2)
| ( unordered_pair(singleton(sK8(sK5(cartesian_product2(X0,X1),X2),X0,X1,X0,X1)),unordered_pair(sK8(sK5(cartesian_product2(X0,X1),X2),X0,X1,X0,X1),sK9(sK5(cartesian_product2(X0,X1),X2),X0,X1,X0,X1))) = sK5(cartesian_product2(X0,X1),X2) ) ),
inference(superposition,[status(thm)],[c_8741,c_213]) ).
tcf(c_9330,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(set_intersection2(X0,X1),sK5(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_2032,c_9069]) ).
tcf(c_9331,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_70,c_1852]) ).
tcf(c_9332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( set_intersection2(cartesian_product2(X0,X1),set_intersection2(cartesian_product2(X3,X4),X2)) = cartesian_product2(X0,X1) )
| ~ subset(X1,X4)
| ~ subset(X0,X3)
| ~ subset(cartesian_product2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_74,c_1852]) ).
tcf(c_9333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_76,c_1852]) ).
tcf(c_9334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X2),X3)) = X0 )
| ~ subset(X0,X3)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_1852]) ).
tcf(c_9335,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1051,c_1852]) ).
tcf(c_9336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X2,X1),X3)) = X0 )
| ~ subset(X0,X3)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_1852]) ).
tcf(c_9337,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2037,c_1852]) ).
tcf(c_9338,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3637,c_1852]) ).
tcf(c_9339,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5158,c_1852]) ).
tcf(c_9340,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7231,c_1852]) ).
tcf(c_9915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(cartesian_product2(X0,X2),set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))) = cartesian_product2(X0,X2) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_9331]) ).
tcf(c_9916,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76,c_9331]) ).
tcf(c_9917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X2))) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_9331]) ).
tcf(c_9918,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_1051,c_9331]) ).
tcf(c_9919,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X2,X1))) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_9331]) ).
tcf(c_9920,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_2037,c_9331]) ).
tcf(c_9922,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_5158,c_9331]) ).
tcf(c_9923,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_7231,c_9331]) ).
tcf(c_10224,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_51,c_9916]) ).
tcf(c_10227,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_1853,c_9916]) ).
tcf(c_10242,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_3984]) ).
tcf(c_10243,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_3457]) ).
tcf(c_10244,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_2243]) ).
tcf(c_10245,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_2242]) ).
tcf(c_10246,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_9916,c_2250]) ).
tcf(c_10247,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_1358]) ).
tcf(c_10248,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_1116]) ).
tcf(c_10250,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_4824]) ).
tcf(c_10251,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_4287]) ).
tcf(c_10252,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_2030]) ).
tcf(c_10253,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_2029]) ).
tcf(c_10260,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_9916,c_1051]) ).
tcf(c_10262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,set_intersection2(X1,X2),X3,set_intersection2(set_intersection2(X1,X2),X1),X4),set_intersection2(X1,X2))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X2),X3),cartesian_product2(set_intersection2(set_intersection2(X1,X2),X1),X4))) ),
inference(superposition,[status(thm)],[c_9916,c_72]) ).
tcf(c_10263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X3),X4,set_intersection2(set_intersection2(X2,X3),X2)),set_intersection2(X2,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X3)),cartesian_product2(X4,set_intersection2(set_intersection2(X2,X3),X2)))) ),
inference(superposition,[status(thm)],[c_9916,c_73]) ).
tcf(c_10910,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_51,c_10260]) ).
tcf(c_10913,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_1853,c_10260]) ).
tcf(c_10914,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_3627,c_10260]) ).
tcf(c_10915,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_5147,c_10260]) ).
tcf(c_10922,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)),
inference(superposition,[status(thm)],[c_2250,c_10260]) ).
tcf(c_10926,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_5147,c_10260]) ).
tcf(c_10928,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_7219,c_10260]) ).
tcf(c_10930,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_10260]) ).
tcf(c_10932,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10260,c_9331]) ).
tcf(c_10933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10260,c_1852]) ).
tcf(c_10934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_10260,c_1228]) ).
tcf(c_10937,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10260,c_4824]) ).
tcf(c_10943,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_10260,c_8669]) ).
tcf(c_11504,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10914,c_9331]) ).
tcf(c_11505,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10914,c_1852]) ).
tcf(c_11506,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10914,c_1228]) ).
tcf(c_11507,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10914,c_2426]) ).
tcf(c_11508,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10914,c_1847]) ).
tcf(c_12804,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10913,c_9331]) ).
tcf(c_12805,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10913,c_1852]) ).
tcf(c_12806,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10913,c_1228]) ).
tcf(c_13441,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_10915,c_9331]) ).
tcf(c_13442,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_10915,c_1852]) ).
tcf(c_13443,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X0)),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10915,c_1228]) ).
tcf(c_13444,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_10915,c_2426]) ).
tcf(c_13445,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_10915,c_1847]) ).
tcf(c_13472,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_9916,c_10910]) ).
tcf(c_13473,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_51,c_10910]) ).
tcf(c_13489,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10910,c_9331]) ).
tcf(c_13490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10910,c_1852]) ).
tcf(c_13491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10910,c_1228]) ).
tcf(c_13500,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(X0,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_10910,c_8669]) ).
tcf(c_14238,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_7219,c_10922]) ).
tcf(c_14255,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10922,c_9331]) ).
tcf(c_14256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10922,c_1852]) ).
tcf(c_14257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_10922,c_1228]) ).
tcf(c_14260,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_10922,c_4824]) ).
tcf(c_14261,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10922,c_4287]) ).
tcf(c_14262,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10922,c_2030]) ).
tcf(c_14702,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_14238,c_9331]) ).
tcf(c_14703,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_14238,c_1852]) ).
tcf(c_14704,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,X0),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14238,c_1228]) ).
tcf(c_14705,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_14238,c_2426]) ).
tcf(c_14706,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_14238,c_1847]) ).
tcf(c_14927,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = X0,
inference(superposition,[status(thm)],[c_10926,c_9331]) ).
tcf(c_14928,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10926,c_1852]) ).
tcf(c_14929,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_10926,c_1228]) ).
tcf(c_14932,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_10926,c_4824]) ).
tcf(c_14933,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_10926,c_4287]) ).
tcf(c_14934,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_10926,c_2030]) ).
tcf(c_14938,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_10926,c_8669]) ).
tcf(c_15660,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = X0,
inference(superposition,[status(thm)],[c_10928,c_9331]) ).
tcf(c_15661,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10928,c_1852]) ).
tcf(c_15662,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_10928,c_1228]) ).
tcf(c_15665,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_10928,c_4824]) ).
tcf(c_15666,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_10928,c_4287]) ).
tcf(c_15667,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_10928,c_2030]) ).
tcf(c_15671,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_10928,c_8669]) ).
tcf(c_15828,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_13472]) ).
tcf(c_15855,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_2250,c_13472]) ).
tcf(c_15859,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_5147,c_13472]) ).
tcf(c_15861,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_7219,c_13472]) ).
tcf(c_15863,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_9916,c_13472]) ).
tcf(c_15865,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_13472,c_9331]) ).
tcf(c_15866,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_13472,c_1852]) ).
tcf(c_15867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X0),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X1),X0),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_13472,c_1228]) ).
tcf(c_15868,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_13472,c_2426]) ).
tcf(c_15869,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_13472,c_1847]) ).
tcf(c_16904,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_5138,c_13473]) ).
tcf(c_16906,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_7196,c_13473]) ).
tcf(c_16907,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_13473]) ).
tcf(c_16909,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_13473,c_9331]) ).
tcf(c_16910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_13473,c_1852]) ).
tcf(c_16911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_13473,c_1228]) ).
tcf(c_17157,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_15828]) ).
tcf(c_17173,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_9331]) ).
tcf(c_17174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_15828,c_1852]) ).
tcf(c_17175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15828,c_1228]) ).
tcf(c_17176,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_2426]) ).
tcf(c_17177,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_1847]) ).
tcf(c_17748,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_5138,c_17157]) ).
tcf(c_17750,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_7196,c_17157]) ).
tcf(c_17751,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_9916,c_17157]) ).
tcf(c_17752,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17157,c_52]) ).
tcf(c_17753,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_17157,c_9331]) ).
tcf(c_17754,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),X2)) = set_intersection2(X0,set_intersection2(X1,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_17157,c_1852]) ).
tcf(c_17755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(X1,set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17157,c_1228]) ).
tcf(c_17756,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) = set_intersection2(X1,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17157,c_2426]) ).
tcf(c_17757,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_17157,c_1847]) ).
tcf(c_18038,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10224,c_17157]) ).
tcf(c_18039,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_3984]) ).
tcf(c_18041,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_2243]) ).
tcf(c_18042,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_2242]) ).
tcf(c_18048,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_13473]) ).
tcf(c_18054,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_4824]) ).
tcf(c_18055,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_4287]) ).
tcf(c_18056,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_2030]) ).
tcf(c_18066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK8(X0,set_intersection2(X1,X2),X3,set_intersection2(X1,set_intersection2(X1,X2)),X4),set_intersection2(X1,X2))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X2),X3),cartesian_product2(set_intersection2(X1,set_intersection2(X1,X2)),X4))) ),
inference(superposition,[status(thm)],[c_10224,c_72]) ).
tcf(c_18067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X3),X4,set_intersection2(X2,set_intersection2(X2,X3))),set_intersection2(X2,X3))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X3)),cartesian_product2(X4,set_intersection2(X2,set_intersection2(X2,X3))))) ),
inference(superposition,[status(thm)],[c_10224,c_73]) ).
tcf(c_18222,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_70,c_2431]) ).
tcf(c_18223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( set_intersection2(set_intersection2(cartesian_product2(X3,X4),X2),cartesian_product2(X0,X1)) = cartesian_product2(X0,X1) )
| ~ subset(X1,X4)
| ~ subset(X0,X3)
| ~ subset(cartesian_product2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_74,c_2431]) ).
tcf(c_18224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_76,c_2431]) ).
tcf(c_18225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X2),X3),X0) = X0 )
| ~ subset(X0,X3)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_2431]) ).
tcf(c_18226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1051,c_2431]) ).
tcf(c_18227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X2,X1),X3),X0) = X0 )
| ~ subset(X0,X3)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_2431]) ).
tcf(c_18228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2037,c_2431]) ).
tcf(c_18229,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10914,c_2431]) ).
tcf(c_18230,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3637,c_2431]) ).
tcf(c_18231,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_10915,c_2431]) ).
tcf(c_18232,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5158,c_2431]) ).
tcf(c_18233,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7231,c_2431]) ).
tcf(c_18234,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_14238,c_2431]) ).
tcf(c_18235,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10926,c_2431]) ).
tcf(c_18236,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_10928,c_2431]) ).
tcf(c_18237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_13472,c_2431]) ).
tcf(c_18238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10260,c_2431]) ).
tcf(c_18239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10922,c_2431]) ).
tcf(c_18240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10910,c_2431]) ).
tcf(c_18241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_13473,c_2431]) ).
tcf(c_18242,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10913,c_2431]) ).
tcf(c_18243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_15828,c_2431]) ).
tcf(c_18244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X2),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,set_intersection2(X1,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_17157,c_2431]) ).
tcf(c_18972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)),cartesian_product2(X0,X2)) = cartesian_product2(X0,X2) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_18222]) ).
tcf(c_18974,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X2)),X0) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_18222]) ).
tcf(c_18976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X2,X1)),X0) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_18222]) ).
tcf(c_18977,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_2037,c_18222]) ).
tcf(c_18978,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10914,c_18222]) ).
tcf(c_18980,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_10915,c_18222]) ).
tcf(c_18983,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_14238,c_18222]) ).
tcf(c_18984,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_10926,c_18222]) ).
tcf(c_18985,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0) = X0,
inference(superposition,[status(thm)],[c_10928,c_18222]) ).
tcf(c_18986,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_13472,c_18222]) ).
tcf(c_18987,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10260,c_18222]) ).
tcf(c_18988,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10922,c_18222]) ).
tcf(c_18989,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10910,c_18222]) ).
tcf(c_18990,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_13473,c_18222]) ).
tcf(c_18991,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10913,c_18222]) ).
tcf(c_18992,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_18222]) ).
tcf(c_18993,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_17157,c_18222]) ).
tcf(c_20387,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_15855,c_18222]) ).
tcf(c_20388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(set_intersection2(X0,X1),X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_15855,c_2431]) ).
tcf(c_20389,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_15855,c_9331]) ).
tcf(c_20390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,X1),X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_15855,c_1852]) ).
tcf(c_20391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X1),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X1),X1),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15855,c_1228]) ).
tcf(c_20392,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_15855,c_2426]) ).
tcf(c_20393,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_15855,c_1847]) ).
tcf(c_20600,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15859,c_18222]) ).
tcf(c_20601,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_15859,c_2431]) ).
tcf(c_20602,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15859,c_9331]) ).
tcf(c_20603,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_15859,c_1852]) ).
tcf(c_20604,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15859,c_1228]) ).
tcf(c_20605,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15859,c_2426]) ).
tcf(c_20606,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15859,c_1847]) ).
tcf(c_21011,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15861,c_18222]) ).
tcf(c_21012,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_15861,c_2431]) ).
tcf(c_21013,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15861,c_9331]) ).
tcf(c_21014,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_15861,c_1852]) ).
tcf(c_21015,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15861,c_1228]) ).
tcf(c_21016,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15861,c_2426]) ).
tcf(c_21017,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15861,c_1847]) ).
tcf(c_21338,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_16904,c_18222]) ).
tcf(c_21339,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_16904,c_2431]) ).
tcf(c_21340,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = X0,
inference(superposition,[status(thm)],[c_16904,c_9331]) ).
tcf(c_21341,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_16904,c_1852]) ).
tcf(c_21342,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_16904,c_1228]) ).
tcf(c_21351,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_16904,c_8669]) ).
tcf(c_21862,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_16906,c_18222]) ).
tcf(c_21863,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_16906,c_2431]) ).
tcf(c_21864,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = X0,
inference(superposition,[status(thm)],[c_16906,c_9331]) ).
tcf(c_21865,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_16906,c_1852]) ).
tcf(c_21866,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_16906,c_1228]) ).
tcf(c_21875,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_16906,c_8669]) ).
tcf(c_22181,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_17748,c_18222]) ).
tcf(c_22182,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_17748,c_2431]) ).
tcf(c_22183,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_17748,c_9331]) ).
tcf(c_22184,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_17748,c_1852]) ).
tcf(c_22185,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_17748,c_1228]) ).
tcf(c_22186,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_17748,c_2426]) ).
tcf(c_22187,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_17748,c_1847]) ).
tcf(c_22426,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_18222]) ).
tcf(c_22427,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_17750,c_2431]) ).
tcf(c_22428,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_9331]) ).
tcf(c_22429,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_17750,c_1852]) ).
tcf(c_22430,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_17750,c_1228]) ).
tcf(c_22431,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_2426]) ).
tcf(c_22432,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_1847]) ).
tcf(c_22718,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_11507,c_2243]) ).
tcf(c_22719,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_11507,c_2242]) ).
tcf(c_22723,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_11507,c_15855]) ).
tcf(c_22727,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_11507,c_13472]) ).
tcf(c_22728,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11507,c_10922]) ).
tcf(c_22730,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_11507,c_10260]) ).
tcf(c_22744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,X1),X3),set_intersection2(X1,X1))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,X1),X3))) ),
inference(superposition,[status(thm)],[c_11507,c_72]) ).
tcf(c_22745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,X2)),set_intersection2(X2,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,X2)))) ),
inference(superposition,[status(thm)],[c_11507,c_73]) ).
tcf(c_23411,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_22727]) ).
tcf(c_23421,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22727,c_18222]) ).
tcf(c_23422,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_22727,c_2431]) ).
tcf(c_23423,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22727,c_9331]) ).
tcf(c_23424,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_22727,c_1852]) ).
tcf(c_23425,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,X0),X0),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_22727,c_1228]) ).
tcf(c_23426,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22727,c_2426]) ).
tcf(c_23427,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22727,c_1847]) ).
tcf(c_23486,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_51,c_22730]) ).
tcf(c_23494,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22730,c_18222]) ).
tcf(c_23495,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_22730,c_2431]) ).
tcf(c_23496,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22730,c_9331]) ).
tcf(c_23497,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_22730,c_1852]) ).
tcf(c_23498,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_22730,c_1228]) ).
tcf(c_23501,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22730,c_4824]) ).
tcf(c_23502,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22730,c_4287]) ).
tcf(c_23892,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_18222]) ).
tcf(c_23893,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_23411,c_2431]) ).
tcf(c_23894,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_9331]) ).
tcf(c_23895,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_23411,c_1852]) ).
tcf(c_23896,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X0)),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_23411,c_1228]) ).
tcf(c_23897,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_2426]) ).
tcf(c_23898,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_1847]) ).
tcf(c_24402,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_23486,c_18222]) ).
tcf(c_24403,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_23486,c_2431]) ).
tcf(c_24404,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_23486,c_9331]) ).
tcf(c_24405,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_23486,c_1852]) ).
tcf(c_24406,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_23486,c_1228]) ).
tcf(c_24464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X2),X3)
| in(sK5(set_intersection2(X0,X2),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_76,c_739]) ).
tcf(c_24797,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = X0 )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_4284,c_70,c_1274]) ).
tcf(c_24800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(cartesian_product2(X0,X2),set_intersection2(cartesian_product2(X1,X3),cartesian_product2(X0,X2))) = cartesian_product2(X0,X2) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_24797]) ).
tcf(c_24802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X2),X0)) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_24797]) ).
tcf(c_24804,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X2,X1),X0)) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_24797]) ).
tcf(c_24808,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_10915,c_24797]) ).
tcf(c_24811,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_14238,c_24797]) ).
tcf(c_24812,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = X0,
inference(superposition,[status(thm)],[c_10926,c_24797]) ).
tcf(c_24813,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_16904,c_24797]) ).
tcf(c_24814,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15859,c_24797]) ).
tcf(c_24815,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_17748,c_24797]) ).
tcf(c_24816,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15861,c_24797]) ).
tcf(c_24817,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_10928,c_24797]) ).
tcf(c_24818,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_24797]) ).
tcf(c_24819,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_16906,c_24797]) ).
tcf(c_24820,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_13472,c_24797]) ).
tcf(c_24821,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10260,c_24797]) ).
tcf(c_24822,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1))) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_15855,c_24797]) ).
tcf(c_24823,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10922,c_24797]) ).
tcf(c_24824,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10910,c_24797]) ).
tcf(c_24825,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_13473,c_24797]) ).
tcf(c_24827,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_24797]) ).
tcf(c_24828,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_17157,c_24797]) ).
tcf(c_24829,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22727,c_24797]) ).
tcf(c_24830,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22730,c_24797]) ).
tcf(c_24831,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_24797]) ).
tcf(c_24832,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_23486,c_24797]) ).
tcf(c_25313,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = X0 )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_4821,c_70,c_1308]) ).
tcf(c_25316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(cartesian_product2(X1,X3),cartesian_product2(X0,X2)),cartesian_product2(X0,X2)) = cartesian_product2(X0,X2) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_25313]) ).
tcf(c_25318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X2),X0),X0) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_25313]) ).
tcf(c_25320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X2,X1),X0),X0) = X0 )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_25313]) ).
tcf(c_25324,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_10915,c_25313]) ).
tcf(c_25327,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_14238,c_25313]) ).
tcf(c_25328,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_10926,c_25313]) ).
tcf(c_25329,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_16904,c_25313]) ).
tcf(c_25330,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15859,c_25313]) ).
tcf(c_25331,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_17748,c_25313]) ).
tcf(c_25332,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15861,c_25313]) ).
tcf(c_25333,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_10928,c_25313]) ).
tcf(c_25334,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_25313]) ).
tcf(c_25335,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_16906,c_25313]) ).
tcf(c_25336,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_13472,c_25313]) ).
tcf(c_25337,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10260,c_25313]) ).
tcf(c_25338,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_15855,c_25313]) ).
tcf(c_25339,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10922,c_25313]) ).
tcf(c_25340,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10910,c_25313]) ).
tcf(c_25341,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_13473,c_25313]) ).
tcf(c_25343,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_25313]) ).
tcf(c_25344,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X1,set_intersection2(X0,X1))) = set_intersection2(X1,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17157,c_25313]) ).
tcf(c_25345,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22727,c_25313]) ).
tcf(c_25346,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22730,c_25313]) ).
tcf(c_25347,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_25313]) ).
tcf(c_25348,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_23486,c_25313]) ).
tcf(c_25980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(X1,X1),X2,X1,X3),set_intersection2(X1,X1))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X1),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_11508,c_72]) ).
tcf(c_25981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X2),X3,X2),set_intersection2(X2,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X2)),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_11508,c_73]) ).
tcf(c_26090,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10930,c_25313]) ).
tcf(c_26091,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10930,c_24797]) ).
tcf(c_26092,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10930,c_18222]) ).
tcf(c_26093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10930,c_2431]) ).
tcf(c_26094,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_10930,c_9331]) ).
tcf(c_26095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10930,c_1852]) ).
tcf(c_26096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10930,c_1228]) ).
tcf(c_26224,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_25313]) ).
tcf(c_26225,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_24797]) ).
tcf(c_26226,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_18222]) ).
tcf(c_26227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_15863,c_2431]) ).
tcf(c_26228,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_9331]) ).
tcf(c_26229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_15863,c_1852]) ).
tcf(c_26230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_15863,c_1228]) ).
tcf(c_26231,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_2426]) ).
tcf(c_26232,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_1847]) ).
tcf(c_26347,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_25313]) ).
tcf(c_26348,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_24797]) ).
tcf(c_26349,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_18222]) ).
tcf(c_26350,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_22723,c_2431]) ).
tcf(c_26351,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_9331]) ).
tcf(c_26352,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_22723,c_1852]) ).
tcf(c_26353,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_22723,c_1228]) ).
tcf(c_26354,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_2426]) ).
tcf(c_26355,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_1847]) ).
tcf(c_26356,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,X0),X1)
| in(sK5(set_intersection2(X0,X0),X1),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_22723,c_8669]) ).
tcf(c_26488,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22728,c_25313]) ).
tcf(c_26489,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22728,c_24797]) ).
tcf(c_26490,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22728,c_18222]) ).
tcf(c_26491,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_22728,c_2431]) ).
tcf(c_26492,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_22728,c_9331]) ).
tcf(c_26493,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_22728,c_1852]) ).
tcf(c_26494,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_22728,c_1228]) ).
tcf(c_37840,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0),
inference(superposition,[status(thm)],[c_9922,c_17157]) ).
tcf(c_37853,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),
inference(superposition,[status(thm)],[c_9922,c_13473]) ).
tcf(c_37871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,set_intersection2(X1,set_intersection2(X1,X1))),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,set_intersection2(X1,set_intersection2(X1,X1))),X3))) ),
inference(superposition,[status(thm)],[c_9922,c_72]) ).
tcf(c_37872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,set_intersection2(X2,set_intersection2(X2,X2)))),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,set_intersection2(X2,set_intersection2(X2,X2)))))) ),
inference(superposition,[status(thm)],[c_9922,c_73]) ).
tcf(c_37898,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0),
inference(superposition,[status(thm)],[c_51,c_37840]) ).
tcf(c_37910,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_37840,c_25313]) ).
tcf(c_37911,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_37840,c_24797]) ).
tcf(c_37912,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_37840,c_18222]) ).
tcf(c_37913,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1) ),
inference(superposition,[status(thm)],[c_37840,c_2431]) ).
tcf(c_37914,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_37840,c_9331]) ).
tcf(c_37915,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1) ),
inference(superposition,[status(thm)],[c_37840,c_1852]) ).
tcf(c_37916,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_37840,c_1228]) ).
tcf(c_37917,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_37840,c_2426]) ).
tcf(c_37918,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_37840,c_1847]) ).
tcf(c_38212,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_51,c_37853]) ).
tcf(c_38224,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_37853,c_25313]) ).
tcf(c_38225,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_37853,c_24797]) ).
tcf(c_38226,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_37853,c_18222]) ).
tcf(c_38227,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_37853,c_2431]) ).
tcf(c_38228,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0))) = X0,
inference(superposition,[status(thm)],[c_37853,c_9331]) ).
tcf(c_38229,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_37853,c_1852]) ).
tcf(c_38230,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1) ),
inference(superposition,[status(thm)],[c_37853,c_1228]) ).
tcf(c_38239,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_37853,c_8669]) ).
tcf(c_38307,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37898,c_25313]) ).
tcf(c_38308,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37898,c_24797]) ).
tcf(c_38309,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37898,c_18222]) ).
tcf(c_38310,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1) ),
inference(superposition,[status(thm)],[c_37898,c_2431]) ).
tcf(c_38311,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37898,c_9331]) ).
tcf(c_38312,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1) ),
inference(superposition,[status(thm)],[c_37898,c_1852]) ).
tcf(c_38313,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_37898,c_1228]) ).
tcf(c_38314,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37898,c_2426]) ).
tcf(c_38315,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37898,c_1847]) ).
tcf(c_38444,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_38212,c_25313]) ).
tcf(c_38445,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0)) = X0,
inference(superposition,[status(thm)],[c_38212,c_24797]) ).
tcf(c_38446,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),X0) = X0,
inference(superposition,[status(thm)],[c_38212,c_18222]) ).
tcf(c_38447,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_38212,c_2431]) ).
tcf(c_38448,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))) = X0,
inference(superposition,[status(thm)],[c_38212,c_9331]) ).
tcf(c_38449,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_38212,c_1852]) ).
tcf(c_38450,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1) ),
inference(superposition,[status(thm)],[c_38212,c_1228]) ).
tcf(c_38459,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))) ),
inference(superposition,[status(thm)],[c_38212,c_8669]) ).
tcf(c_38770,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0),
inference(superposition,[status(thm)],[c_9923,c_17157]) ).
tcf(c_38783,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),
inference(superposition,[status(thm)],[c_9923,c_13473]) ).
tcf(c_38801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,set_intersection2(set_intersection2(X1,X1),X1)),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,set_intersection2(set_intersection2(X1,X1),X1)),X3))) ),
inference(superposition,[status(thm)],[c_9923,c_72]) ).
tcf(c_38802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,set_intersection2(set_intersection2(X2,X2),X2))),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,set_intersection2(set_intersection2(X2,X2),X2))))) ),
inference(superposition,[status(thm)],[c_9923,c_73]) ).
tcf(c_38819,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0),
inference(superposition,[status(thm)],[c_51,c_38770]) ).
tcf(c_38833,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_38770,c_25313]) ).
tcf(c_38834,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_38770,c_24797]) ).
tcf(c_38835,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_38770,c_18222]) ).
tcf(c_38836,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_38770,c_2431]) ).
tcf(c_38837,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_38770,c_9331]) ).
tcf(c_38838,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_38770,c_1852]) ).
tcf(c_38839,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_38770,c_1228]) ).
tcf(c_38840,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_38770,c_2426]) ).
tcf(c_38841,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_38770,c_1847]) ).
tcf(c_39197,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38819,c_25313]) ).
tcf(c_39198,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38819,c_24797]) ).
tcf(c_39199,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38819,c_18222]) ).
tcf(c_39200,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1) ),
inference(superposition,[status(thm)],[c_38819,c_2431]) ).
tcf(c_39201,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38819,c_9331]) ).
tcf(c_39202,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1) ),
inference(superposition,[status(thm)],[c_38819,c_1852]) ).
tcf(c_39203,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_38819,c_1228]) ).
tcf(c_39204,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38819,c_2426]) ).
tcf(c_39205,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0) = set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38819,c_1847]) ).
tcf(c_39616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X2),X3)
| in(sK5(set_intersection2(X2,X0),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_8664]) ).
tcf(c_39618,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_67,c_8664]) ).
tcf(c_39619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X0),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1851,c_8664]) ).
tcf(c_39620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1853,c_8664]) ).
tcf(c_39621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X2)),X3)
| in(sK5(set_intersection2(X0,X2),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2036,c_8664]) ).
tcf(c_39622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,set_intersection2(X2,X0)),X3)
| in(sK5(set_intersection2(X2,X0),X3),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2250,c_8664]) ).
tcf(c_39623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(set_intersection2(X0,X1),X3),X2)
| subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2032,c_8664]) ).
tcf(c_39624,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_11508,c_8664]) ).
tcf(c_39625,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3627,c_8664]) ).
tcf(c_39626,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_11507,c_8664]) ).
tcf(c_39627,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3623,c_8664]) ).
tcf(c_39628,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_5147,c_8664]) ).
tcf(c_39629,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5138,c_8664]) ).
tcf(c_39630,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_7219,c_8664]) ).
tcf(c_39631,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7196,c_8664]) ).
tcf(c_39632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(set_intersection2(X0,X1),X3),X2)
| subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9916,c_8664]) ).
tcf(c_39633,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9922,c_8664]) ).
tcf(c_39634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(set_intersection2(X0,X1),X3),X2)
| subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10224,c_8664]) ).
tcf(c_39635,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9923,c_8664]) ).
tcf(c_39636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X3),X4)
| in(sK5(set_intersection2(X0,X3),X4),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_8664,c_65]) ).
tcf(c_39637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X2),X3)
| ~ subset(X1,X0)
| ~ in(X0,sK5(set_intersection2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_8664,c_49]) ).
tcf(c_39638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X3),X4)
| ( unordered_pair(singleton(sK3(X1,X2,sK5(set_intersection2(X0,X3),X4))),unordered_pair(sK3(X1,X2,sK5(set_intersection2(X0,X3),X4)),sK4(X1,X2,sK5(set_intersection2(X0,X3),X4)))) = sK5(set_intersection2(X0,X3),X4) )
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_8664,c_211]) ).
tcf(c_39639,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_8664,c_63]) ).
tcf(c_39640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(set_intersection2(X0,X5),X6)
| ( unordered_pair(singleton(sK8(sK5(set_intersection2(X0,X5),X6),X1,X2,X3,X4)),unordered_pair(sK8(sK5(set_intersection2(X0,X5),X6),X1,X2,X3,X4),sK9(sK5(set_intersection2(X0,X5),X6),X1,X2,X3,X4))) = sK5(set_intersection2(X0,X5),X6) )
| ~ subset(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_8664,c_213]) ).
tcf(c_39641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X2)
| subset(sK5(set_intersection2(X0,X1),X2),X3)
| ~ subset(X0,sK5(sK5(set_intersection2(X0,X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_8664,c_1063]) ).
tcf(c_39642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(X4,cartesian_product2(sK5(set_intersection2(X0,X1),X2),X3))
| ~ subset(X0,sK3(sK5(set_intersection2(X0,X1),X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_8664,c_1118]) ).
tcf(c_39643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X2),X3)
| ~ in(X4,cartesian_product2(X1,sK5(set_intersection2(X0,X2),X3)))
| ~ subset(X0,sK4(X1,sK5(set_intersection2(X0,X2),X3),X4)) ),
inference(superposition,[status(thm)],[c_8664,c_1150]) ).
tcf(c_39644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| subset(set_intersection2(X1,X2),X3)
| ~ subset(X1,sK5(X0,X4))
| ~ subset(X0,sK5(set_intersection2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_8664,c_1229]) ).
tcf(c_40220,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X2,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_2250,c_39639]) ).
tcf(c_40223,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3627,c_39639]) ).
tcf(c_40224,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_11507,c_39639]) ).
tcf(c_40226,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_5147,c_39639]) ).
tcf(c_40228,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_7219,c_39639]) ).
tcf(c_40234,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,X2) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39639,c_52]) ).
tcf(c_40235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X2)),set_intersection2(X0,X2)) = set_intersection2(X0,X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_25313]) ).
tcf(c_40236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(X1,set_intersection2(X0,X2))) = set_intersection2(X0,X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_24797]) ).
tcf(c_40237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X2),X1),set_intersection2(X0,X2)) = set_intersection2(X0,X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_18222]) ).
tcf(c_40238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(X3,X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39639,c_2431]) ).
tcf(c_40239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(set_intersection2(X0,X2),X1)) = set_intersection2(X0,X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_9331]) ).
tcf(c_40240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X3,X2)) = set_intersection2(X0,X1) )
| ~ subset(X0,X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_39639,c_1852]) ).
tcf(c_40242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X2)) = set_intersection2(X0,X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_2426]) ).
tcf(c_40243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),X1) = set_intersection2(X0,X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_1847]) ).
tcf(c_40244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_4824]) ).
tcf(c_40245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X2,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_4287]) ).
tcf(c_40246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_2030]) ).
tcf(c_40247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_2029]) ).
tcf(c_40248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_1396]) ).
tcf(c_40249,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X2) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_1115]) ).
tcf(c_40250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X2),X1),set_intersection2(X0,X2)) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_3984]) ).
tcf(c_40251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(set_intersection2(X0,X2),X1)) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_3457]) ).
tcf(c_40252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X2)),set_intersection2(X0,X2)) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_2243]) ).
tcf(c_40253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(X1,set_intersection2(X0,X2))) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_2242]) ).
tcf(c_40254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),X1) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_1358]) ).
tcf(c_40255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X2)) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_1116]) ).
tcf(c_40461,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_24464,c_63]) ).
tcf(c_40647,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X1,X0),X2)
| ( set_intersection2(X1,X1) = X0 )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_52]) ).
tcf(c_40648,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(set_intersection2(X2,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_25313]) ).
tcf(c_40649,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X2,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_24797]) ).
tcf(c_40650,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X2),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_18222]) ).
tcf(c_40651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(X0,X3),X2)
| ( set_intersection2(set_intersection2(X3,X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_39618,c_2431]) ).
tcf(c_40652,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X2)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_9331]) ).
tcf(c_40653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(X0,X3),X2)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X3,X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_39618,c_1852]) ).
tcf(c_40654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X0),X4)
| in(sK5(X0,X2),X1)
| in(sK5(set_intersection2(X0,X0),X4),X3)
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_1228]) ).
tcf(c_40655,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(X2,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_2426]) ).
tcf(c_40656,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(set_intersection2(X0,X0),X2) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_1847]) ).
tcf(c_40657,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(set_intersection2(X2,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_4824]) ).
tcf(c_40658,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X2,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_4287]) ).
tcf(c_40659,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X2),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_2030]) ).
tcf(c_40660,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X2)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_2029]) ).
tcf(c_40661,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(X2,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_1396]) ).
tcf(c_40662,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(set_intersection2(X0,X0),X2) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_1115]) ).
tcf(c_40663,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X2),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_3984]) ).
tcf(c_40664,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X2)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_3457]) ).
tcf(c_40665,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(set_intersection2(X2,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_2243]) ).
tcf(c_40666,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X2,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_2242]) ).
tcf(c_40667,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(set_intersection2(X0,X0),X2) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_1358]) ).
tcf(c_40668,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(X2,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_1116]) ).
tcf(c_40669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| in(sK5(X0,X3),X2)
| in(sK5(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_8669]) ).
tcf(c_40670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X3)
| in(sK5(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_65]) ).
tcf(c_40671,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X1,X1),X2)
| ~ subset(X1,X0)
| ~ in(X0,sK5(X1,X2)) ),
inference(superposition,[status(thm)],[c_39618,c_49]) ).
tcf(c_40672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X3)
| ( unordered_pair(singleton(sK3(X1,X2,sK5(X0,X3))),unordered_pair(sK3(X1,X2,sK5(X0,X3)),sK4(X1,X2,sK5(X0,X3)))) = sK5(X0,X3) )
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39618,c_211]) ).
tcf(c_40674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(set_intersection2(X0,X0),X5)
| ( unordered_pair(singleton(sK8(sK5(X0,X5),X1,X2,X3,X4)),unordered_pair(sK8(sK5(X0,X5),X1,X2,X3,X4),sK9(sK5(X0,X5),X1,X2,X3,X4))) = sK5(X0,X5) )
| ~ subset(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_39618,c_213]) ).
tcf(c_40675,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK5(X0,X1),X2)
| subset(set_intersection2(X0,X0),X1)
| ~ subset(X0,sK5(sK5(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39618,c_1063]) ).
tcf(c_40676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X1)
| ~ in(X3,cartesian_product2(sK5(X0,X1),X2))
| ~ subset(X0,sK3(sK5(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_39618,c_1118]) ).
tcf(c_40677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X2)
| ~ in(X3,cartesian_product2(X1,sK5(X0,X2)))
| ~ subset(X0,sK4(X1,sK5(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_39618,c_1150]) ).
tcf(c_40678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X1,X2)
| subset(set_intersection2(X0,X0),X3)
| ~ subset(X1,sK5(X0,X3))
| ~ subset(X0,sK5(X1,X2)) ),
inference(superposition,[status(thm)],[c_39618,c_1229]) ).
tcf(c_41239,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X1),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_9916,c_40220]) ).
tcf(c_41240,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_9922,c_40220]) ).
tcf(c_41241,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X1),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10224,c_40220]) ).
tcf(c_41242,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_9923,c_40220]) ).
tcf(c_41243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,X2) = X0 )
| ~ subset(X2,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40220,c_52]) ).
tcf(c_41244,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X2,X0)),set_intersection2(X2,X0)) = set_intersection2(X2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_25313]) ).
tcf(c_41245,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),set_intersection2(X1,set_intersection2(X2,X0))) = set_intersection2(X2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_24797]) ).
tcf(c_41246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X2,X0),X1),set_intersection2(X2,X0)) = set_intersection2(X2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_18222]) ).
tcf(c_41247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(X3,X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X1,X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_40220,c_2431]) ).
tcf(c_41248,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),set_intersection2(set_intersection2(X2,X0),X1)) = set_intersection2(X2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_9331]) ).
tcf(c_41249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X3,X2)) = set_intersection2(X0,X1) )
| ~ subset(X1,X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_40220,c_1852]) ).
tcf(c_41250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X3,X0),X4)
| in(sK5(set_intersection2(X3,X0),X4),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_1228]) ).
tcf(c_41251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X2,X0)) = set_intersection2(X2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_2426]) ).
tcf(c_41252,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),X1) = set_intersection2(X2,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_1847]) ).
tcf(c_41253,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_4824]) ).
tcf(c_41254,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X2,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_4287]) ).
tcf(c_41255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X2),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_2030]) ).
tcf(c_41256,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X2)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_2029]) ).
tcf(c_41257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_1396]) ).
tcf(c_41258,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X2) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_1115]) ).
tcf(c_41259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X2,X0),X1),set_intersection2(X2,X0)) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_3984]) ).
tcf(c_41260,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),set_intersection2(set_intersection2(X2,X0),X1)) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_3457]) ).
tcf(c_41261,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X2,X0)),set_intersection2(X2,X0)) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_2243]) ).
tcf(c_41262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),set_intersection2(X1,set_intersection2(X2,X0))) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_2242]) ).
tcf(c_41263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),X1) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_1358]) ).
tcf(c_41264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X2,X0)) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_1116]) ).
tcf(c_41546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,X2) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40461,c_52]) ).
tcf(c_41658,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(X0,X0),X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_77,c_40223]) ).
tcf(c_41660,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(X0,X0),X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_1405,c_40223]) ).
tcf(c_41664,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_5158,c_40223]) ).
tcf(c_41665,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_7231,c_40223]) ).
tcf(c_41666,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_10926,c_40223]) ).
tcf(c_41667,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_16904,c_40223]) ).
tcf(c_41668,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_10928,c_40223]) ).
tcf(c_41669,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_16906,c_40223]) ).
tcf(c_41673,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_38212,c_40223]) ).
tcf(c_41677,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_37853,c_40223]) ).
tcf(c_41680,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_22728,c_40223]) ).
tcf(c_41859,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_40224,c_52]) ).
tcf(c_41860,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_25313]) ).
tcf(c_41861,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X1,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_24797]) ).
tcf(c_41862,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_18222]) ).
tcf(c_41863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_40224,c_2431]) ).
tcf(c_41864,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_9331]) ).
tcf(c_41865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X2,X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_40224,c_1852]) ).
tcf(c_41866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X3)
| in(sK5(set_intersection2(X0,X0),X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_1228]) ).
tcf(c_41867,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_2426]) ).
tcf(c_41868,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X1) = set_intersection2(X0,X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_1847]) ).
tcf(c_41869,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_4824]) ).
tcf(c_41870,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X1,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_4287]) ).
tcf(c_41871,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_2030]) ).
tcf(c_41872,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_2029]) ).
tcf(c_41873,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_1396]) ).
tcf(c_41874,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X1) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_1115]) ).
tcf(c_41875,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_3984]) ).
tcf(c_41876,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_3457]) ).
tcf(c_41877,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_2243]) ).
tcf(c_41878,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X1,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_2242]) ).
tcf(c_41879,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X1) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_1358]) ).
tcf(c_41880,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_1116]) ).
tcf(c_42332,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_41680,c_52]) ).
tcf(c_42333,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_41680,c_25313]) ).
tcf(c_42334,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_41680,c_24797]) ).
tcf(c_42335,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_41680,c_18222]) ).
tcf(c_42336,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_41680,c_2431]) ).
tcf(c_42337,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_41680,c_9331]) ).
tcf(c_42338,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_41680,c_1852]) ).
tcf(c_42339,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_41680,c_1228]) ).
tcf(c_42340,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_41680,c_2426]) ).
tcf(c_42341,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_41680,c_1847]) ).
tcf(c_42342,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_41680,c_40223]) ).
tcf(c_42343,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_41680,c_8669]) ).
tcf(c_42363,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_51,c_38783]) ).
tcf(c_42377,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_38783,c_25313]) ).
tcf(c_42378,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_38783,c_24797]) ).
tcf(c_42379,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_38783,c_18222]) ).
tcf(c_42380,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_38783,c_2431]) ).
tcf(c_42381,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0))) = X0,
inference(superposition,[status(thm)],[c_38783,c_9331]) ).
tcf(c_42382,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_38783,c_1852]) ).
tcf(c_42383,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_38783,c_1228]) ).
tcf(c_42392,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_38783,c_40223]) ).
tcf(c_42393,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_38783,c_8669]) ).
tcf(c_42543,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_77,c_40226]) ).
tcf(c_42545,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_1405,c_40226]) ).
tcf(c_42549,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_5158,c_40226]) ).
tcf(c_42550,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_7231,c_40226]) ).
tcf(c_42551,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_10926,c_40226]) ).
tcf(c_42552,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_16904,c_40226]) ).
tcf(c_42553,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_10928,c_40226]) ).
tcf(c_42554,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_16906,c_40226]) ).
tcf(c_42555,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_41680,c_40226]) ).
tcf(c_42557,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_10922,c_40226]) ).
tcf(c_42558,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_10930,c_40226]) ).
tcf(c_42559,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_38212,c_40226]) ).
tcf(c_42561,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_13473,c_40226]) ).
tcf(c_42562,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37853,c_40226]) ).
tcf(c_42564,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_38783,c_40226]) ).
tcf(c_42756,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_77,c_40228]) ).
tcf(c_42758,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_1405,c_40228]) ).
tcf(c_42761,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_5158,c_40228]) ).
tcf(c_42762,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_7231,c_40228]) ).
tcf(c_42764,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_10926,c_40228]) ).
tcf(c_42765,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_16904,c_40228]) ).
tcf(c_42766,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_10928,c_40228]) ).
tcf(c_42767,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_16906,c_40228]) ).
tcf(c_42768,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_41680,c_40228]) ).
tcf(c_42770,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_10260,c_40228]) ).
tcf(c_42773,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_10930,c_40228]) ).
tcf(c_42774,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_38212,c_40228]) ).
tcf(c_42775,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_10910,c_40228]) ).
tcf(c_42777,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_37853,c_40228]) ).
tcf(c_42778,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_38783,c_40228]) ).
tcf(c_43165,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42363,c_25313]) ).
tcf(c_43166,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0)) = X0,
inference(superposition,[status(thm)],[c_42363,c_24797]) ).
tcf(c_43167,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_42363,c_18222]) ).
tcf(c_43168,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42363,c_2431]) ).
tcf(c_43169,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))) = X0,
inference(superposition,[status(thm)],[c_42363,c_9331]) ).
tcf(c_43170,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42363,c_1852]) ).
tcf(c_43171,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1) ),
inference(superposition,[status(thm)],[c_42363,c_1228]) ).
tcf(c_43180,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42363,c_40223]) ).
tcf(c_43181,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_42363,c_8669]) ).
tcf(c_43182,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42363,c_40226]) ).
tcf(c_43183,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42363,c_40228]) ).
tcf(c_43363,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_67,c_41546]) ).
tcf(c_44060,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42557,c_52]) ).
tcf(c_44061,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42557,c_25313]) ).
tcf(c_44062,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_42557,c_24797]) ).
tcf(c_44063,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_42557,c_18222]) ).
tcf(c_44064,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42557,c_2431]) ).
tcf(c_44065,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_42557,c_9331]) ).
tcf(c_44066,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42557,c_1852]) ).
tcf(c_44067,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_42557,c_1228]) ).
tcf(c_44068,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_42557,c_2426]) ).
tcf(c_44069,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_42557,c_1847]) ).
tcf(c_44070,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42557,c_40223]) ).
tcf(c_44071,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_42557,c_8669]) ).
tcf(c_44072,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42557,c_40226]) ).
tcf(c_44073,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_42557,c_40228]) ).
tcf(c_44293,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_42561,c_52]) ).
tcf(c_44294,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42561,c_25313]) ).
tcf(c_44295,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X0)) = X0,
inference(superposition,[status(thm)],[c_42561,c_24797]) ).
tcf(c_44296,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_42561,c_18222]) ).
tcf(c_44297,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42561,c_2431]) ).
tcf(c_44298,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))))) = X0,
inference(superposition,[status(thm)],[c_42561,c_9331]) ).
tcf(c_44299,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42561,c_1852]) ).
tcf(c_44300,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_42561,c_1228]) ).
tcf(c_44301,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_42561,c_2426]) ).
tcf(c_44302,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_42561,c_1847]) ).
tcf(c_44303,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42561,c_40223]) ).
tcf(c_44304,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_42561,c_8669]) ).
tcf(c_44305,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42561,c_40226]) ).
tcf(c_44306,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42561,c_40228]) ).
tcf(c_44609,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42770,c_52]) ).
tcf(c_44610,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42770,c_25313]) ).
tcf(c_44611,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_42770,c_24797]) ).
tcf(c_44612,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_42770,c_18222]) ).
tcf(c_44613,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42770,c_2431]) ).
tcf(c_44614,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_42770,c_9331]) ).
tcf(c_44615,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42770,c_1852]) ).
tcf(c_44616,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_42770,c_1228]) ).
tcf(c_44617,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_42770,c_2426]) ).
tcf(c_44618,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_42770,c_1847]) ).
tcf(c_44619,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42770,c_40223]) ).
tcf(c_44620,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_42770,c_8669]) ).
tcf(c_44621,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42770,c_40226]) ).
tcf(c_44622,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_42770,c_40228]) ).
tcf(c_45209,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_42775,c_52]) ).
tcf(c_45210,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42775,c_25313]) ).
tcf(c_45211,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_42775,c_24797]) ).
tcf(c_45212,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))),X0) = X0,
inference(superposition,[status(thm)],[c_42775,c_18222]) ).
tcf(c_45213,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42775,c_2431]) ).
tcf(c_45214,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)))) = X0,
inference(superposition,[status(thm)],[c_42775,c_9331]) ).
tcf(c_45215,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42775,c_1852]) ).
tcf(c_45216,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_42775,c_1228]) ).
tcf(c_45217,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_42775,c_2426]) ).
tcf(c_45218,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_42775,c_1847]) ).
tcf(c_45219,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42775,c_40223]) ).
tcf(c_45220,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_42775,c_8669]) ).
tcf(c_45221,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42775,c_40226]) ).
tcf(c_45222,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_42775,c_40228]) ).
tcf(c_45583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X3)
| ( cartesian_product2(X1,X2) = sK5(X0,X3) )
| ( unordered_pair(singleton(sK1(X1,X2,sK5(X0,X3))),unordered_pair(sK1(X1,X2,sK5(X0,X3)),sK2(X1,X2,sK5(X0,X3)))) = sK0(X1,X2,sK5(X0,X3)) )
| ~ subset(X0,sK0(X1,X2,sK5(X0,X3))) ),
inference(superposition,[status(thm)],[c_212,c_40671]) ).
tcf(c_45584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X3)
| in(sK2(X1,X2,sK5(X0,X3)),X2)
| ( cartesian_product2(X1,X2) = sK5(X0,X3) )
| ~ subset(X0,sK0(X1,X2,sK5(X0,X3))) ),
inference(superposition,[status(thm)],[c_57,c_40671]) ).
tcf(c_45585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X3)
| in(sK1(X1,X2,sK5(X0,X3)),X1)
| ( cartesian_product2(X1,X2) = sK5(X0,X3) )
| ~ subset(X0,sK0(X1,X2,sK5(X0,X3))) ),
inference(superposition,[status(thm)],[c_56,c_40671]) ).
tcf(c_45586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X1)
| in(sK0(sK5(X0,X1),X2,X3),X3)
| ( cartesian_product2(sK5(X0,X1),X2) = X3 )
| ~ subset(X0,sK1(sK5(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_56,c_40671]) ).
tcf(c_45587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK0(X1,sK5(X0,X2),X3),X3)
| ( cartesian_product2(X1,sK5(X0,X2)) = X3 )
| ~ subset(X0,sK2(X1,sK5(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_57,c_40671]) ).
tcf(c_45591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X1),X2)
| subset(set_intersection2(X0,X0),X3)
| ~ subset(X1,sK5(X0,X3))
| ~ subset(X0,sK5(X1,X2)) ),
inference(superposition,[status(thm)],[c_39618,c_40671]) ).
tcf(c_45592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| subset(set_intersection2(X1,X1),X2)
| ~ subset(X1,sK5(X0,X3))
| ~ subset(X0,sK5(X1,X2)) ),
inference(superposition,[status(thm)],[c_1113,c_40671]) ).
tcf(c_45593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X0),X4)
| ~ subset(X1,sK5(X0,X4))
| ~ in(X3,cartesian_product2(X1,X2))
| ~ subset(X0,sK3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1117,c_40671]) ).
tcf(c_45594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X0),X4)
| ~ subset(X2,sK5(X0,X4))
| ~ in(X3,cartesian_product2(X1,X2))
| ~ subset(X0,sK4(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1149,c_40671]) ).
tcf(c_45595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X1,X2),X3)
| subset(set_intersection2(X0,X0),X4)
| ~ subset(X1,sK5(X0,X4))
| ~ subset(X0,sK5(set_intersection2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_8664,c_40671]) ).
tcf(c_45857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(set_intersection2(X0,X1),X3),X2)
| subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X3)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_9916,c_39616]) ).
tcf(c_45858,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_9922,c_39616]) ).
tcf(c_45859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(set_intersection2(X0,X1),X3),X2)
| subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X3)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10224,c_39616]) ).
tcf(c_45860,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X2)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_9923,c_39616]) ).
tcf(c_45861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X3),X4)
| in(sK5(set_intersection2(X3,X0),X4),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39616,c_65]) ).
tcf(c_45862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X2,X1),X3)
| ~ subset(X2,X0)
| ~ in(X0,sK5(set_intersection2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_39616,c_49]) ).
tcf(c_45863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X3),X4)
| ( unordered_pair(singleton(sK3(X1,X2,sK5(set_intersection2(X3,X0),X4))),unordered_pair(sK3(X1,X2,sK5(set_intersection2(X3,X0),X4)),sK4(X1,X2,sK5(set_intersection2(X3,X0),X4)))) = sK5(set_intersection2(X3,X0),X4) )
| ~ subset(X0,cartesian_product2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39616,c_211]) ).
tcf(c_45865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(set_intersection2(X0,X5),X6)
| ( unordered_pair(singleton(sK8(sK5(set_intersection2(X5,X0),X6),X1,X2,X3,X4)),unordered_pair(sK8(sK5(set_intersection2(X5,X0),X6),X1,X2,X3,X4),sK9(sK5(set_intersection2(X5,X0),X6),X1,X2,X3,X4))) = sK5(set_intersection2(X5,X0),X6) )
| ~ subset(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
inference(superposition,[status(thm)],[c_39616,c_213]) ).
tcf(c_45866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X2)
| subset(sK5(set_intersection2(X1,X0),X2),X3)
| ~ subset(X0,sK5(sK5(set_intersection2(X1,X0),X2),X3)) ),
inference(superposition,[status(thm)],[c_39616,c_1063]) ).
tcf(c_45867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X1),X2)
| ~ in(X4,cartesian_product2(sK5(set_intersection2(X1,X0),X2),X3))
| ~ subset(X0,sK3(sK5(set_intersection2(X1,X0),X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_39616,c_1118]) ).
tcf(c_45868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X0,X2),X3)
| ~ in(X4,cartesian_product2(X1,sK5(set_intersection2(X2,X0),X3)))
| ~ subset(X0,sK4(X1,sK5(set_intersection2(X2,X0),X3),X4)) ),
inference(superposition,[status(thm)],[c_39616,c_1150]) ).
tcf(c_45869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(set_intersection2(X2,X1),X3)
| subset(set_intersection2(X0,X0),X4)
| ~ subset(X2,sK5(X0,X4))
| ~ subset(X0,sK5(set_intersection2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_39616,c_40671]) ).
tcf(c_45870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| subset(set_intersection2(X2,X1),X3)
| ~ subset(X2,sK5(X0,X4))
| ~ subset(X0,sK5(set_intersection2(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_39616,c_1229]) ).
tcf(c_46168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,X2) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_40234]) ).
tcf(c_46170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,X1) = X0 )
| ~ subset(X2,X0)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_40234]) ).
tcf(c_46174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X2) )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40224,c_40234]) ).
tcf(c_46187,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_41680,c_40234]) ).
tcf(c_46199,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_37840,c_40234]) ).
tcf(c_46202,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))))) ),
inference(superposition,[status(thm)],[c_37898,c_40234]) ).
tcf(c_46204,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_38770,c_40234]) ).
tcf(c_46205,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17157,c_40234]) ).
tcf(c_46206,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))))) ),
inference(superposition,[status(thm)],[c_38819,c_40234]) ).
tcf(c_46213,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_42561,c_40234]) ).
tcf(c_46214,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_42775,c_40234]) ).
tcf(c_46215,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42557,c_40234]) ).
tcf(c_46216,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_42770,c_40234]) ).
tcf(c_46217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(X1,set_intersection2(X0,X3)),X2)
| ( set_intersection2(X0,X3) = set_intersection2(X1,X1) )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_40234]) ).
tcf(c_46218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X0,X3) = set_intersection2(X1,X2) )
| ~ subset(X1,set_intersection2(X0,X3))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39639,c_40234]) ).
tcf(c_46219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X1,X2) = set_intersection2(X3,X0) )
| ~ subset(X1,set_intersection2(X3,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40220,c_40234]) ).
tcf(c_46220,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,X1) = X0 )
| ~ subset(X2,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_51,c_40234]) ).
tcf(c_46222,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_67,c_40234]) ).
tcf(c_46223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1851,c_40234]) ).
tcf(c_46224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X1) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1853,c_40234]) ).
tcf(c_46225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X2)) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_2036,c_40234]) ).
tcf(c_46226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,set_intersection2(X1,X2)) = X0 )
| ~ subset(X2,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_2250,c_40234]) ).
tcf(c_46227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2032,c_40234]) ).
tcf(c_46228,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_11508,c_40234]) ).
tcf(c_46229,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3627,c_40234]) ).
tcf(c_46230,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_11507,c_40234]) ).
tcf(c_46231,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3623,c_40234]) ).
tcf(c_46232,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_5147,c_40234]) ).
tcf(c_46233,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5138,c_40234]) ).
tcf(c_46234,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_7219,c_40234]) ).
tcf(c_46235,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7196,c_40234]) ).
tcf(c_46236,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9916,c_40234]) ).
tcf(c_46237,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9922,c_40234]) ).
tcf(c_46238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10224,c_40234]) ).
tcf(c_46239,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_9923,c_40234]) ).
tcf(c_46413,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_43363]) ).
tcf(c_46768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(cartesian_product2(X0,X1),cartesian_product2(X0,X1)) = cartesian_product2(X2,X3) )
| ~ subset(X3,X1)
| ~ subset(X2,X0)
| ~ subset(cartesian_product2(X0,X1),cartesian_product2(X2,X3)) ),
inference(superposition,[status(thm)],[c_74,c_46222]) ).
tcf(c_46769,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_76,c_46222]) ).
tcf(c_46771,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_1051,c_46222]) ).
tcf(c_46772,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,X1)
| ~ subset(X2,X0)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1405,c_46222]) ).
tcf(c_46776,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X1) )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_40224,c_46222]) ).
tcf(c_46778,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5158,c_46222]) ).
tcf(c_46779,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7231,c_46222]) ).
tcf(c_46781,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_10926,c_46222]) ).
tcf(c_46782,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) ),
inference(superposition,[status(thm)],[c_16904,c_46222]) ).
tcf(c_46783,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_15859,c_46222]) ).
tcf(c_46784,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) ),
inference(superposition,[status(thm)],[c_17748,c_46222]) ).
tcf(c_46785,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_15861,c_46222]) ).
tcf(c_46786,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_10928,c_46222]) ).
tcf(c_46787,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_17750,c_46222]) ).
tcf(c_46788,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) ),
inference(superposition,[status(thm)],[c_16906,c_46222]) ).
tcf(c_46789,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_41680,c_46222]) ).
tcf(c_46790,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X0) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_13472,c_46222]) ).
tcf(c_46791,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10260,c_46222]) ).
tcf(c_46792,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_15855,c_46222]) ).
tcf(c_46793,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10922,c_46222]) ).
tcf(c_46794,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10930,c_46222]) ).
tcf(c_46795,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0) ),
inference(superposition,[status(thm)],[c_38212,c_46222]) ).
tcf(c_46796,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0) ),
inference(superposition,[status(thm)],[c_42363,c_46222]) ).
tcf(c_46797,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10910,c_46222]) ).
tcf(c_46798,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_13473,c_46222]) ).
tcf(c_46800,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0) ),
inference(superposition,[status(thm)],[c_37853,c_46222]) ).
tcf(c_46801,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) ),
inference(superposition,[status(thm)],[c_37840,c_46222]) ).
tcf(c_46803,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_15828,c_46222]) ).
tcf(c_46804,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_37898,c_46222]) ).
tcf(c_46805,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0) ),
inference(superposition,[status(thm)],[c_38783,c_46222]) ).
tcf(c_46806,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) ),
inference(superposition,[status(thm)],[c_38770,c_46222]) ).
tcf(c_46807,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(X1,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17157,c_46222]) ).
tcf(c_46808,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) ),
inference(superposition,[status(thm)],[c_38819,c_46222]) ).
tcf(c_46810,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_22728,c_46222]) ).
tcf(c_46811,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_22727,c_46222]) ).
tcf(c_46812,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_22730,c_46222]) ).
tcf(c_46813,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_23411,c_46222]) ).
tcf(c_46814,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_23486,c_46222]) ).
tcf(c_46815,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_42561,c_46222]) ).
tcf(c_46816,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_42775,c_46222]) ).
tcf(c_46817,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42557,c_46222]) ).
tcf(c_46818,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42770,c_46222]) ).
tcf(c_46819,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X1,X0),X2)
| ( set_intersection2(X0,X0) = set_intersection2(X1,X1) )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_46222]) ).
tcf(c_46820,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X2) )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39639,c_46222]) ).
tcf(c_46821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X2) )
| ~ subset(X2,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40220,c_46222]) ).
tcf(c_46887,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X0,X1) )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_46413]) ).
tcf(c_47704,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,X0),X1)
| ~ in(set_intersection2(X0,X0),sK5(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_10227,c_9069]) ).
tcf(c_47710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(X1,X1),X2,set_intersection2(X1,X1),X3),set_intersection2(X1,X1))
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,X1),X2),cartesian_product2(set_intersection2(X1,X1),X3))) ),
inference(superposition,[status(thm)],[c_10227,c_72]) ).
tcf(c_47711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(X2,X2),X3,set_intersection2(X2,X2)),set_intersection2(X2,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,X2)),cartesian_product2(X3,set_intersection2(X2,X2)))) ),
inference(superposition,[status(thm)],[c_10227,c_73]) ).
tcf(c_47714,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10227,c_40234]) ).
tcf(c_47719,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(set_intersection2(X0,X0),X2),X1)
| subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X2)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10227,c_39616]) ).
tcf(c_48371,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(set_intersection2(set_intersection2(X0,X0),X0),sK5(X0,X1)) ),
inference(superposition,[status(thm)],[c_10943,c_49]) ).
tcf(c_48381,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(set_intersection2(X0,set_intersection2(X0,X0)),sK5(X0,X1)) ),
inference(superposition,[status(thm)],[c_13500,c_49]) ).
tcf(c_48409,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0),
inference(superposition,[status(thm)],[c_14932,c_13472]) ).
tcf(c_48412,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14932,c_10260]) ).
tcf(c_48427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(set_intersection2(X1,set_intersection2(X1,X1)),X1),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(set_intersection2(X1,set_intersection2(X1,X1)),X1),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_14932,c_72]) ).
tcf(c_48428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(set_intersection2(X2,set_intersection2(X2,X2)),X2),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(set_intersection2(X2,set_intersection2(X2,X2)),X2)),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_14932,c_73]) ).
tcf(c_48429,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_14932,c_39639]) ).
tcf(c_48430,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_14932,c_8664]) ).
tcf(c_48431,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_14932,c_40234]) ).
tcf(c_48437,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14932,c_39616]) ).
tcf(c_48477,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) ),
inference(superposition,[status(thm)],[c_48409,c_46222]) ).
tcf(c_48479,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_48409,c_25313]) ).
tcf(c_48480,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_48409,c_24797]) ).
tcf(c_48481,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_48409,c_18222]) ).
tcf(c_48482,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1) ),
inference(superposition,[status(thm)],[c_48409,c_2431]) ).
tcf(c_48483,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_48409,c_9331]) ).
tcf(c_48484,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1) ),
inference(superposition,[status(thm)],[c_48409,c_1852]) ).
tcf(c_48485,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_48409,c_1228]) ).
tcf(c_48486,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_48409,c_2426]) ).
tcf(c_48487,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0) = set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_48409,c_1847]) ).
tcf(c_48488,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48409,c_40234]) ).
tcf(c_48668,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0) ),
inference(superposition,[status(thm)],[c_48412,c_46222]) ).
tcf(c_48670,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_48412,c_25313]) ).
tcf(c_48671,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_48412,c_24797]) ).
tcf(c_48672,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),X0) = X0,
inference(superposition,[status(thm)],[c_48412,c_18222]) ).
tcf(c_48673,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_48412,c_2431]) ).
tcf(c_48674,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))) = X0,
inference(superposition,[status(thm)],[c_48412,c_9331]) ).
tcf(c_48675,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_48412,c_1852]) ).
tcf(c_48676,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1) ),
inference(superposition,[status(thm)],[c_48412,c_1228]) ).
tcf(c_48686,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_48412,c_40223]) ).
tcf(c_48687,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_48412,c_8669]) ).
tcf(c_48688,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_48412,c_40226]) ).
tcf(c_48689,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_48412,c_40228]) ).
tcf(c_48816,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0),
inference(superposition,[status(thm)],[c_14933,c_17157]) ).
tcf(c_48829,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),
inference(superposition,[status(thm)],[c_14933,c_13473]) ).
tcf(c_48847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(set_intersection2(X1,set_intersection2(X1,X1)),X1),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(set_intersection2(X1,set_intersection2(X1,X1)),X1),X3))) ),
inference(superposition,[status(thm)],[c_14933,c_72]) ).
tcf(c_48848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(set_intersection2(X2,set_intersection2(X2,X2)),X2)),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(set_intersection2(X2,set_intersection2(X2,X2)),X2)))) ),
inference(superposition,[status(thm)],[c_14933,c_73]) ).
tcf(c_48851,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14933,c_40234]) ).
tcf(c_48955,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) ),
inference(superposition,[status(thm)],[c_48816,c_46222]) ).
tcf(c_48957,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_25313]) ).
tcf(c_48958,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0))) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_24797]) ).
tcf(c_48959,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_18222]) ).
tcf(c_48960,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_48816,c_2431]) ).
tcf(c_48961,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_9331]) ).
tcf(c_48962,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_48816,c_1852]) ).
tcf(c_48963,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_48816,c_1228]) ).
tcf(c_48964,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_2426]) ).
tcf(c_48965,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_1847]) ).
tcf(c_48966,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_48816,c_40234]) ).
tcf(c_49234,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0) ),
inference(superposition,[status(thm)],[c_48829,c_46222]) ).
tcf(c_49236,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_48829,c_25313]) ).
tcf(c_49237,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_48829,c_24797]) ).
tcf(c_49238,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_48829,c_18222]) ).
tcf(c_49239,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_48829,c_2431]) ).
tcf(c_49240,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0))) = X0,
inference(superposition,[status(thm)],[c_48829,c_9331]) ).
tcf(c_49241,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_48829,c_1852]) ).
tcf(c_49242,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_48829,c_1228]) ).
tcf(c_49252,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_48829,c_40223]) ).
tcf(c_49253,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_48829,c_8669]) ).
tcf(c_49254,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_48829,c_40226]) ).
tcf(c_49255,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_48829,c_40228]) ).
tcf(c_49886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(X1,set_intersection2(X1,set_intersection2(X1,X1))),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,set_intersection2(X1,set_intersection2(X1,X1))),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_14934,c_72]) ).
tcf(c_49887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(X2,set_intersection2(X2,set_intersection2(X2,X2))),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,set_intersection2(X2,set_intersection2(X2,X2)))),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_14934,c_73]) ).
tcf(c_49890,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_14934,c_40234]) ).
tcf(c_49956,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0),
inference(superposition,[status(thm)],[c_15665,c_13472]) ).
tcf(c_49959,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15665,c_10260]) ).
tcf(c_49974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(set_intersection2(set_intersection2(X1,X1),X1),X1),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(set_intersection2(set_intersection2(X1,X1),X1),X1),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_15665,c_72]) ).
tcf(c_49975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(set_intersection2(set_intersection2(X2,X2),X2),X2),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(set_intersection2(set_intersection2(X2,X2),X2),X2)),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_15665,c_73]) ).
tcf(c_49976,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_15665,c_39639]) ).
tcf(c_49977,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_15665,c_8664]) ).
tcf(c_49978,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_15665,c_40234]) ).
tcf(c_49984,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15665,c_39616]) ).
tcf(c_50160,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) ),
inference(superposition,[status(thm)],[c_49956,c_46222]) ).
tcf(c_50162,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_49956,c_25313]) ).
tcf(c_50163,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_49956,c_24797]) ).
tcf(c_50164,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_49956,c_18222]) ).
tcf(c_50165,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_49956,c_2431]) ).
tcf(c_50166,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0)) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_49956,c_9331]) ).
tcf(c_50167,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_49956,c_1852]) ).
tcf(c_50168,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49956,c_1228]) ).
tcf(c_50169,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_49956,c_2426]) ).
tcf(c_50170,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0) = set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_49956,c_1847]) ).
tcf(c_50171,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_49956,c_40234]) ).
tcf(c_50484,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X0,X1) )
| ~ subset(X0,X1)
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_77,c_46769]) ).
tcf(c_50487,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_40224,c_46769]) ).
tcf(c_50489,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10926,c_46769]) ).
tcf(c_50490,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_10928,c_46769]) ).
tcf(c_50491,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X0),
inference(superposition,[status(thm)],[c_10260,c_46769]) ).
tcf(c_50492,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_10922,c_46769]) ).
tcf(c_50494,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_38212,c_46769]) ).
tcf(c_50495,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_48412,c_46769]) ).
tcf(c_50496,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42363,c_46769]) ).
tcf(c_50498,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_22730,c_46769]) ).
tcf(c_50499,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(set_intersection2(X0,X0),X2)),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_46769]) ).
tcf(c_50500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),X2) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_39639,c_46769]) ).
tcf(c_50501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)) = set_intersection2(set_intersection2(X1,X0),X2) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_40220,c_46769]) ).
tcf(c_50502,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_46769]) ).
tcf(c_50507,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_2036,c_46769]) ).
tcf(c_50508,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_2250,c_46769]) ).
tcf(c_50514,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_5147,c_46769]) ).
tcf(c_50516,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_7219,c_46769]) ).
tcf(c_50519,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_46769]) ).
tcf(c_50520,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_14934,c_46769]) ).
tcf(c_50522,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) ),
inference(superposition,[status(thm)],[c_14932,c_46769]) ).
tcf(c_50524,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_46769]) ).
tcf(c_50525,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) ),
inference(superposition,[status(thm)],[c_15665,c_46769]) ).
tcf(c_51250,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_40224,c_50502]) ).
tcf(c_51262,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,set_intersection2(X2,set_intersection2(X0,X0))),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_50502]) ).
tcf(c_51263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(X0,X2)) = set_intersection2(set_intersection2(X0,X2),X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_39639,c_50502]) ).
tcf(c_51264,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),set_intersection2(X2,X0)) = set_intersection2(set_intersection2(X2,X0),X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_40220,c_50502]) ).
tcf(c_51282,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_9916,c_50502]) ).
tcf(c_51287,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_10224,c_50502]) ).
tcf(c_51288,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_15665,c_50502]) ).
tcf(c_51289,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_9923,c_50502]) ).
tcf(c_51605,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_49959,c_46222]) ).
tcf(c_51607,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_49959,c_25313]) ).
tcf(c_51608,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_49959,c_24797]) ).
tcf(c_51609,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),X0) = X0,
inference(superposition,[status(thm)],[c_49959,c_18222]) ).
tcf(c_51610,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49959,c_2431]) ).
tcf(c_51611,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))) = X0,
inference(superposition,[status(thm)],[c_49959,c_9331]) ).
tcf(c_51612,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_49959,c_1852]) ).
tcf(c_51613,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_49959,c_1228]) ).
tcf(c_51617,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_49959,c_46769]) ).
tcf(c_51624,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_49959,c_40223]) ).
tcf(c_51625,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_49959,c_8669]) ).
tcf(c_51626,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_49959,c_40226]) ).
tcf(c_51627,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_49959,c_40228]) ).
tcf(c_52222,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_15666,c_17157]) ).
tcf(c_52236,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_15666,c_13473]) ).
tcf(c_52254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(set_intersection2(set_intersection2(X1,X1),X1),X1),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(set_intersection2(set_intersection2(X1,X1),X1),X1),X3))) ),
inference(superposition,[status(thm)],[c_15666,c_72]) ).
tcf(c_52255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(set_intersection2(set_intersection2(X2,X2),X2),X2)),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(set_intersection2(set_intersection2(X2,X2),X2),X2)))) ),
inference(superposition,[status(thm)],[c_15666,c_73]) ).
tcf(c_52258,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15666,c_40234]) ).
tcf(c_52285,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_52222,c_46222]) ).
tcf(c_52287,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_25313]) ).
tcf(c_52288,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0))) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_24797]) ).
tcf(c_52289,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_18222]) ).
tcf(c_52290,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_52222,c_2431]) ).
tcf(c_52291,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_9331]) ).
tcf(c_52292,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_52222,c_1852]) ).
tcf(c_52293,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_52222,c_1228]) ).
tcf(c_52294,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_2426]) ).
tcf(c_52295,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_1847]) ).
tcf(c_52296,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_52222,c_40234]) ).
tcf(c_52441,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0) ),
inference(superposition,[status(thm)],[c_52236,c_46222]) ).
tcf(c_52443,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_52236,c_25313]) ).
tcf(c_52444,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_52236,c_24797]) ).
tcf(c_52445,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_52236,c_18222]) ).
tcf(c_52446,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_52236,c_2431]) ).
tcf(c_52447,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0))) = X0,
inference(superposition,[status(thm)],[c_52236,c_9331]) ).
tcf(c_52448,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_52236,c_1852]) ).
tcf(c_52449,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_52236,c_1228]) ).
tcf(c_52460,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_52236,c_40223]) ).
tcf(c_52461,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_52236,c_8669]) ).
tcf(c_52462,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_52236,c_40226]) ).
tcf(c_52463,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_52236,c_40228]) ).
tcf(c_68348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(X1,set_intersection2(set_intersection2(X1,X1),X1)),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(X1,set_intersection2(set_intersection2(X1,X1),X1)),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_15667,c_72]) ).
tcf(c_68349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(X2,set_intersection2(set_intersection2(X2,X2),X2)),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(X2,set_intersection2(set_intersection2(X2,X2),X2))),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_15667,c_73]) ).
tcf(c_68352,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_15667,c_40234]) ).
tcf(c_68404,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,X0) ),
inference(superposition,[status(thm)],[c_42340,c_50502]) ).
tcf(c_68414,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_46769]) ).
tcf(c_68421,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_42340,c_13472]) ).
tcf(c_68424,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42340,c_10260]) ).
tcf(c_68426,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_4824]) ).
tcf(c_68427,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_4287]) ).
tcf(c_68428,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_2030]) ).
tcf(c_68429,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_2029]) ).
tcf(c_68434,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_1396]) ).
tcf(c_68435,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42340,c_1115]) ).
tcf(c_68439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,set_intersection2(set_intersection2(X1,X1),set_intersection2(X1,X1)),X2,X1,X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(set_intersection2(set_intersection2(X1,X1),set_intersection2(X1,X1)),X2),cartesian_product2(X1,X3))) ),
inference(superposition,[status(thm)],[c_42340,c_72]) ).
tcf(c_68440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,set_intersection2(set_intersection2(X2,X2),set_intersection2(X2,X2)),X3,X2),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,set_intersection2(set_intersection2(X2,X2),set_intersection2(X2,X2))),cartesian_product2(X3,X2))) ),
inference(superposition,[status(thm)],[c_42340,c_73]) ).
tcf(c_68441,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_42340,c_39639]) ).
tcf(c_68442,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_42340,c_8664]) ).
tcf(c_68443,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_42340,c_40234]) ).
tcf(c_68446,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42340,c_39616]) ).
tcf(c_68862,plain,
! [X0: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_68421,c_46222]) ).
tcf(c_68864,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_68421,c_25313]) ).
tcf(c_68865,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_68421,c_24797]) ).
tcf(c_68866,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_68421,c_18222]) ).
tcf(c_68867,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_68421,c_2431]) ).
tcf(c_68868,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_68421,c_9331]) ).
tcf(c_68869,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X1)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_68421,c_1852]) ).
tcf(c_68870,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X2)
| in(sK5(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_68421,c_1228]) ).
tcf(c_68871,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_68421,c_2426]) ).
tcf(c_68872,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_68421,c_1847]) ).
tcf(c_68873,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))))) ),
inference(superposition,[status(thm)],[c_68421,c_40234]) ).
tcf(c_69553,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_68424,c_46222]) ).
tcf(c_69555,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_68424,c_25313]) ).
tcf(c_69556,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0)) = X0,
inference(superposition,[status(thm)],[c_68424,c_24797]) ).
tcf(c_69557,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_68424,c_18222]) ).
tcf(c_69558,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_68424,c_2431]) ).
tcf(c_69559,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) = X0,
inference(superposition,[status(thm)],[c_68424,c_9331]) ).
tcf(c_69560,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_68424,c_1852]) ).
tcf(c_69561,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_68424,c_1228]) ).
tcf(c_69565,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_68424,c_46769]) ).
tcf(c_69572,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_68424,c_40223]) ).
tcf(c_69573,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_68424,c_8669]) ).
tcf(c_69574,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_68424,c_40226]) ).
tcf(c_69575,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_68424,c_40228]) ).
tcf(c_69994,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_42341,c_17157]) ).
tcf(c_70008,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_42341,c_13473]) ).
tcf(c_70026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(set_intersection2(X1,X1),set_intersection2(X1,X1)),X3),X1)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(set_intersection2(X1,X1),set_intersection2(X1,X1)),X3))) ),
inference(superposition,[status(thm)],[c_42341,c_72]) ).
tcf(c_70027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(set_intersection2(X2,X2),set_intersection2(X2,X2))),X2)
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(set_intersection2(X2,X2),set_intersection2(X2,X2))))) ),
inference(superposition,[status(thm)],[c_42341,c_73]) ).
tcf(c_70030,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42341,c_40234]) ).
tcf(c_70087,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) ),
inference(superposition,[status(thm)],[c_69994,c_46222]) ).
tcf(c_70089,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_69994,c_25313]) ).
tcf(c_70090,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_69994,c_24797]) ).
tcf(c_70091,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_69994,c_18222]) ).
tcf(c_70092,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_69994,c_2431]) ).
tcf(c_70093,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_69994,c_9331]) ).
tcf(c_70094,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_69994,c_1852]) ).
tcf(c_70095,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X2)
| in(sK5(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_69994,c_1228]) ).
tcf(c_70096,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_69994,c_2426]) ).
tcf(c_70097,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_69994,c_1847]) ).
tcf(c_70098,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_69994,c_40234]) ).
tcf(c_70198,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0) ),
inference(superposition,[status(thm)],[c_70008,c_46222]) ).
tcf(c_70200,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0),X0) = X0,
inference(superposition,[status(thm)],[c_70008,c_25313]) ).
tcf(c_70201,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0)) = X0,
inference(superposition,[status(thm)],[c_70008,c_24797]) ).
tcf(c_70202,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_70008,c_18222]) ).
tcf(c_70203,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_70008,c_2431]) ).
tcf(c_70204,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0))) = X0,
inference(superposition,[status(thm)],[c_70008,c_9331]) ).
tcf(c_70205,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_70008,c_1852]) ).
tcf(c_70206,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_70008,c_1228]) ).
tcf(c_70217,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_70008,c_40223]) ).
tcf(c_70218,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_70008,c_8669]) ).
tcf(c_70219,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_70008,c_40226]) ).
tcf(c_70220,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_70008,c_40228]) ).
tcf(c_70362,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_50489,c_50502]) ).
tcf(c_70363,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50489,c_17157]) ).
tcf(c_70374,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50489,c_15855]) ).
tcf(c_70377,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_13473]) ).
tcf(c_70379,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_10922]) ).
tcf(c_70396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(X1,set_intersection2(X1,X1)),X3),set_intersection2(X1,X1))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(X1,set_intersection2(X1,X1)),X3))) ),
inference(superposition,[status(thm)],[c_50489,c_72]) ).
tcf(c_70397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(X2,set_intersection2(X2,X2))),set_intersection2(X2,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(X2,set_intersection2(X2,X2))))) ),
inference(superposition,[status(thm)],[c_50489,c_73]) ).
tcf(c_70399,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(set_intersection2(X0,X0),X2),X1)
| subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50489,c_8664]) ).
tcf(c_70400,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,set_intersection2(X1,X1))) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_50489,c_40234]) ).
tcf(c_70401,plain,
! [X0: $i,X1: $i] :
( subset(X0,set_intersection2(X1,X1))
| ~ subset(X0,X1)
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_50489,c_77]) ).
tcf(c_70407,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(set_intersection2(X0,X0),X2),X1)
| subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50489,c_39616]) ).
tcf(c_70408,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50489,c_40220]) ).
tcf(c_70835,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,X2) = X0 )
| ~ subset(X2,X0)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_41243]) ).
tcf(c_70837,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_41243]) ).
tcf(c_70841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X2) )
| ~ subset(X2,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40224,c_41243]) ).
tcf(c_70842,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_10915,c_41243]) ).
tcf(c_70845,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_14238,c_41243]) ).
tcf(c_70848,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))) ),
inference(superposition,[status(thm)],[c_15859,c_41243]) ).
tcf(c_70849,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17748,c_41243]) ).
tcf(c_70850,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_15861,c_41243]) ).
tcf(c_70852,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17750,c_41243]) ).
tcf(c_70855,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X1) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_13472,c_41243]) ).
tcf(c_70857,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_15855,c_41243]) ).
tcf(c_70858,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_10922,c_41243]) ).
tcf(c_70869,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_37840,c_41243]) ).
tcf(c_70871,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_48816,c_41243]) ).
tcf(c_70872,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_15863,c_41243]) ).
tcf(c_70873,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_15828,c_41243]) ).
tcf(c_70874,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))))) ),
inference(superposition,[status(thm)],[c_37898,c_41243]) ).
tcf(c_70875,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_48409,c_41243]) ).
tcf(c_70877,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_38770,c_41243]) ).
tcf(c_70879,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_52222,c_41243]) ).
tcf(c_70881,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_69994,c_41243]) ).
tcf(c_70883,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))))) ),
inference(superposition,[status(thm)],[c_38819,c_41243]) ).
tcf(c_70884,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_49956,c_41243]) ).
tcf(c_70885,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))) ),
inference(superposition,[status(thm)],[c_68421,c_41243]) ).
tcf(c_70892,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_42561,c_41243]) ).
tcf(c_70893,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X0) ),
inference(superposition,[status(thm)],[c_42775,c_41243]) ).
tcf(c_70894,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_42557,c_41243]) ).
tcf(c_70895,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_42770,c_41243]) ).
tcf(c_70896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(X1,set_intersection2(X3,X0)),X2)
| ( set_intersection2(X1,X1) = set_intersection2(X3,X0) )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_41243]) ).
tcf(c_70897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X0,X3) = set_intersection2(X1,X2) )
| ~ subset(X2,set_intersection2(X0,X3))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39639,c_41243]) ).
tcf(c_70898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X1,X2) = set_intersection2(X3,X0) )
| ~ subset(X2,set_intersection2(X3,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40220,c_41243]) ).
tcf(c_70899,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X2,X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_51,c_41243]) ).
tcf(c_70902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X2),X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1851,c_41243]) ).
tcf(c_70903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X2),X2) = X0 )
| ~ subset(X2,X0)
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_1853,c_41243]) ).
tcf(c_70904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2036,c_41243]) ).
tcf(c_70905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2250,c_41243]) ).
tcf(c_70907,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_11508,c_41243]) ).
tcf(c_70908,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3627,c_41243]) ).
tcf(c_70909,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X0)) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_11507,c_41243]) ).
tcf(c_70910,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3623,c_41243]) ).
tcf(c_70911,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5147,c_41243]) ).
tcf(c_70912,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50489,c_41243]) ).
tcf(c_70913,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_5138,c_41243]) ).
tcf(c_70914,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7219,c_41243]) ).
tcf(c_70915,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_7196,c_41243]) ).
tcf(c_70917,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_9916,c_41243]) ).
tcf(c_70918,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14934,c_41243]) ).
tcf(c_70919,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_9922,c_41243]) ).
tcf(c_70920,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14932,c_41243]) ).
tcf(c_70921,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_14933,c_41243]) ).
tcf(c_70922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10224,c_41243]) ).
tcf(c_70923,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15667,c_41243]) ).
tcf(c_70924,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15665,c_41243]) ).
tcf(c_70925,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_9923,c_41243]) ).
tcf(c_70926,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_15666,c_41243]) ).
tcf(c_70927,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42340,c_41243]) ).
tcf(c_70928,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X1 )
| ~ subset(X1,X0)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_42341,c_41243]) ).
tcf(c_71849,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_41859]) ).
tcf(c_71853,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X1,X1) )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_40224,c_41859]) ).
tcf(c_71865,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_37840,c_41859]) ).
tcf(c_71866,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_48816,c_41859]) ).
tcf(c_71869,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))) ),
inference(superposition,[status(thm)],[c_37898,c_41859]) ).
tcf(c_71870,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_48409,c_41859]) ).
tcf(c_71871,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_38770,c_41859]) ).
tcf(c_71872,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_52222,c_41859]) ).
tcf(c_71873,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_69994,c_41859]) ).
tcf(c_71875,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_38819,c_41859]) ).
tcf(c_71876,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_49956,c_41859]) ).
tcf(c_71877,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_68421,c_41859]) ).
tcf(c_71882,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X1,set_intersection2(X0,X0)),X2)
| ( set_intersection2(X0,X0) = set_intersection2(X1,X1) )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_41859]) ).
tcf(c_71883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X2) = set_intersection2(X1,X1) )
| ~ subset(X1,set_intersection2(X0,X2))
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39639,c_41859]) ).
tcf(c_71884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,X1) = set_intersection2(X2,X0) )
| ~ subset(X1,set_intersection2(X2,X0))
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_40220,c_41859]) ).
tcf(c_72012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X2) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_76,c_46220]) ).
tcf(c_72014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X2,X0)) = set_intersection2(X0,X2) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X2,X0))) ),
inference(superposition,[status(thm)],[c_1051,c_46220]) ).
tcf(c_72019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X2,X1) )
| ~ subset(X2,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40224,c_46220]) ).
tcf(c_72020,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_10915,c_46220]) ).
tcf(c_72023,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_14238,c_46220]) ).
tcf(c_72026,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))) ),
inference(superposition,[status(thm)],[c_15859,c_46220]) ).
tcf(c_72027,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17748,c_46220]) ).
tcf(c_72028,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_15861,c_46220]) ).
tcf(c_72030,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17750,c_46220]) ).
tcf(c_72033,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X1) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_13472,c_46220]) ).
tcf(c_72035,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_15855,c_46220]) ).
tcf(c_72047,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_37840,c_46220]) ).
tcf(c_72049,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_48816,c_46220]) ).
tcf(c_72050,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_15863,c_46220]) ).
tcf(c_72051,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_15828,c_46220]) ).
tcf(c_72052,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))))) ),
inference(superposition,[status(thm)],[c_37898,c_46220]) ).
tcf(c_72053,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_48409,c_46220]) ).
tcf(c_72055,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_38770,c_46220]) ).
tcf(c_72057,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_52222,c_46220]) ).
tcf(c_72059,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_69994,c_46220]) ).
tcf(c_72060,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17157,c_46220]) ).
tcf(c_72061,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))))) ),
inference(superposition,[status(thm)],[c_38819,c_46220]) ).
tcf(c_72062,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_49956,c_46220]) ).
tcf(c_72063,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))) ),
inference(superposition,[status(thm)],[c_68421,c_46220]) ).
tcf(c_72074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(X1,set_intersection2(X3,X0)),X2)
| ( set_intersection2(X0,X3) = set_intersection2(X1,X1) )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_46220]) ).
tcf(c_72075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X0,X3) = set_intersection2(X2,X1) )
| ~ subset(X2,set_intersection2(X0,X3))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39639,c_46220]) ).
tcf(c_72076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X2,X1) = set_intersection2(X3,X0) )
| ~ subset(X2,set_intersection2(X3,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40220,c_46220]) ).
tcf(c_72090,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50489,c_46220]) ).
tcf(c_72095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_9916,c_46220]) ).
tcf(c_72100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10224,c_46220]) ).
tcf(c_73138,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X0,X1) )
| ~ subset(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_50484,c_70,c_46887]) ).
tcf(c_73141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X0,X2)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) )
| ~ subset(X2,X3)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_73138]) ).
tcf(c_73143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X2)) = set_intersection2(X0,X0) )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_77,c_73138]) ).
tcf(c_73145,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,set_intersection2(X2,X1)) = set_intersection2(X0,X0) )
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1405,c_73138]) ).
tcf(c_73149,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40224,c_73138]) ).
tcf(c_73150,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_10915,c_73138]) ).
tcf(c_73153,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_14238,c_73138]) ).
tcf(c_73156,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_15859,c_73138]) ).
tcf(c_73157,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_17748,c_73138]) ).
tcf(c_73158,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),
inference(superposition,[status(thm)],[c_15861,c_73138]) ).
tcf(c_73160,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_17750,c_73138]) ).
tcf(c_73163,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_13472,c_73138]) ).
tcf(c_73164,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10260,c_73138]) ).
tcf(c_73165,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15855,c_73138]) ).
tcf(c_73166,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10922,c_73138]) ).
tcf(c_73168,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_38212,c_73138]) ).
tcf(c_73169,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_48412,c_73138]) ).
tcf(c_73170,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42363,c_73138]) ).
tcf(c_73171,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_49959,c_73138]) ).
tcf(c_73172,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_68424,c_73138]) ).
tcf(c_73173,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10910,c_73138]) ).
tcf(c_73174,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_13473,c_73138]) ).
tcf(c_73176,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_37853,c_73138]) ).
tcf(c_73177,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0),
inference(superposition,[status(thm)],[c_37840,c_73138]) ).
tcf(c_73178,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_48829,c_73138]) ).
tcf(c_73179,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0),
inference(superposition,[status(thm)],[c_48816,c_73138]) ).
tcf(c_73180,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15863,c_73138]) ).
tcf(c_73181,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_15828,c_73138]) ).
tcf(c_73182,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0),
inference(superposition,[status(thm)],[c_37898,c_73138]) ).
tcf(c_73183,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0),
inference(superposition,[status(thm)],[c_48409,c_73138]) ).
tcf(c_73184,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_38783,c_73138]) ).
tcf(c_73185,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0),
inference(superposition,[status(thm)],[c_38770,c_73138]) ).
tcf(c_73186,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_52236,c_73138]) ).
tcf(c_73187,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_52222,c_73138]) ).
tcf(c_73188,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_70008,c_73138]) ).
tcf(c_73189,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0),
inference(superposition,[status(thm)],[c_69994,c_73138]) ).
tcf(c_73190,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_17157,c_73138]) ).
tcf(c_73191,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0),
inference(superposition,[status(thm)],[c_38819,c_73138]) ).
tcf(c_73192,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0),
inference(superposition,[status(thm)],[c_49956,c_73138]) ).
tcf(c_73193,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0),
inference(superposition,[status(thm)],[c_68421,c_73138]) ).
tcf(c_73194,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22723,c_73138]) ).
tcf(c_73196,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22727,c_73138]) ).
tcf(c_73197,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_22730,c_73138]) ).
tcf(c_73198,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23411,c_73138]) ).
tcf(c_73199,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_23486,c_73138]) ).
tcf(c_73200,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42561,c_73138]) ).
tcf(c_73201,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42775,c_73138]) ).
tcf(c_73202,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42557,c_73138]) ).
tcf(c_73203,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42770,c_73138]) ).
tcf(c_73204,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(X0,X2),X1)
| ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),X2) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39618,c_73138]) ).
tcf(c_73205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X2),set_intersection2(X0,X2)) = set_intersection2(set_intersection2(X0,X2),X1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_39639,c_73138]) ).
tcf(c_73206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X0),set_intersection2(X2,X0)) = set_intersection2(set_intersection2(X2,X0),X1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_40220,c_73138]) ).
tcf(c_75263,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50490,c_17157]) ).
tcf(c_75274,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50490,c_15855]) ).
tcf(c_75277,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_13473]) ).
tcf(c_75279,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_10922]) ).
tcf(c_75296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK8(X0,X1,X2,set_intersection2(set_intersection2(X1,X1),X1),X3),set_intersection2(X1,X1))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(set_intersection2(set_intersection2(X1,X1),X1),X3))) ),
inference(superposition,[status(thm)],[c_50490,c_72]) ).
tcf(c_75297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK9(X0,X1,X2,X3,set_intersection2(set_intersection2(X2,X2),X2)),set_intersection2(X2,X2))
| ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,set_intersection2(set_intersection2(X2,X2),X2)))) ),
inference(superposition,[status(thm)],[c_50490,c_73]) ).
tcf(c_75299,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(set_intersection2(X0,X0),X2),X1)
| subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_50490,c_8664]) ).
tcf(c_75300,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_50490,c_46220]) ).
tcf(c_75301,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) = X1 )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_50490,c_41243]) ).
tcf(c_75302,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(set_intersection2(X1,X1),X1)) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_50490,c_40234]) ).
tcf(c_75303,plain,
! [X0: $i,X1: $i] :
( subset(X0,set_intersection2(X1,X1))
| ~ subset(X0,X1)
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_50490,c_77]) ).
tcf(c_75308,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK5(set_intersection2(X0,X0),X2),X1)
| subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_50490,c_39616]) ).
tcf(c_75309,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,X0),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_50490,c_40220]) ).
tcf(c_76260,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_51,c_16907]) ).
tcf(c_76269,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_5147,c_16907]) ).
tcf(c_76270,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_14934,c_16907]) ).
tcf(c_76271,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_15667,c_16907]) ).
tcf(c_76309,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_2250,c_16907]) ).
tcf(c_76311,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11508,c_16907]) ).
tcf(c_76323,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0)),
inference(superposition,[status(thm)],[c_14934,c_16907]) ).
tcf(c_76325,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0)),
inference(superposition,[status(thm)],[c_14932,c_16907]) ).
tcf(c_76327,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_16907]) ).
tcf(c_76328,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0)),
inference(superposition,[status(thm)],[c_15667,c_16907]) ).
tcf(c_76329,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0)),
inference(superposition,[status(thm)],[c_15665,c_16907]) ).
tcf(c_76332,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0)),
inference(superposition,[status(thm)],[c_42340,c_16907]) ).
tcf(c_76334,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_16907,c_46222]) ).
tcf(c_76336,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_16907,c_73138]) ).
tcf(c_76337,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_16907,c_25313]) ).
tcf(c_76338,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_16907,c_24797]) ).
tcf(c_76339,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_16907,c_18222]) ).
tcf(c_76340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_16907,c_2431]) ).
tcf(c_76341,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_16907,c_9331]) ).
tcf(c_76342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_16907,c_1852]) ).
tcf(c_76343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_16907,c_1228]) ).
tcf(c_76357,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_16907,c_8669]) ).
tcf(c_76358,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_16907,c_40226]) ).
tcf(c_76359,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_16907,c_40228]) ).
tcf(c_77488,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_17751]) ).
tcf(c_77497,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_5147,c_17751]) ).
tcf(c_77498,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_14934,c_17751]) ).
tcf(c_77499,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_15667,c_17751]) ).
tcf(c_77568,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_2250,c_17751]) ).
tcf(c_77570,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_11508,c_17751]) ).
tcf(c_77582,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X0),X0),
inference(superposition,[status(thm)],[c_14934,c_17751]) ).
tcf(c_77584,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0),X0),
inference(superposition,[status(thm)],[c_14932,c_17751]) ).
tcf(c_77586,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10224,c_17751]) ).
tcf(c_77587,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X0),X0),
inference(superposition,[status(thm)],[c_15667,c_17751]) ).
tcf(c_77588,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0),X0),
inference(superposition,[status(thm)],[c_15665,c_17751]) ).
tcf(c_77591,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0),X0),
inference(superposition,[status(thm)],[c_42340,c_17751]) ).
tcf(c_77593,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17751,c_46222]) ).
tcf(c_77595,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_73138]) ).
tcf(c_77596,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_25313]) ).
tcf(c_77597,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_24797]) ).
tcf(c_77598,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_18222]) ).
tcf(c_77599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_17751,c_2431]) ).
tcf(c_77600,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_9331]) ).
tcf(c_77601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_17751,c_1852]) ).
tcf(c_77602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17751,c_1228]) ).
tcf(c_77603,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_2426]) ).
tcf(c_77604,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_17751,c_1847]) ).
tcf(c_77605,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17751,c_46220]) ).
tcf(c_77606,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_17751,c_41243]) ).
tcf(c_78771,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_18038]) ).
tcf(c_78778,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_18038]) ).
tcf(c_78845,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_18038]) ).
tcf(c_78876,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_18038,c_46222]) ).
tcf(c_78878,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_73138]) ).
tcf(c_78879,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_25313]) ).
tcf(c_78880,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_24797]) ).
tcf(c_78881,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_18222]) ).
tcf(c_78882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_18038,c_2431]) ).
tcf(c_78883,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_9331]) ).
tcf(c_78884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_18038,c_1852]) ).
tcf(c_78885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_18038,c_1228]) ).
tcf(c_78886,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_2426]) ).
tcf(c_78887,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18038,c_1847]) ).
tcf(c_78888,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_18038,c_46220]) ).
tcf(c_78889,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_18038,c_41243]) ).
tcf(c_79369,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_51,c_18048]) ).
tcf(c_79376,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_18048]) ).
tcf(c_79412,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_51,c_18048]) ).
tcf(c_79443,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_18048,c_46222]) ).
tcf(c_79445,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_18048,c_73138]) ).
tcf(c_79446,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_18048,c_25313]) ).
tcf(c_79447,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_18048,c_24797]) ).
tcf(c_79448,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_18048,c_18222]) ).
tcf(c_79449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_18048,c_2431]) ).
tcf(c_79450,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_18048,c_9331]) ).
tcf(c_79451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_18048,c_1852]) ).
tcf(c_79452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_18048,c_1228]) ).
tcf(c_79466,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_18048,c_8669]) ).
tcf(c_79467,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_18048,c_40226]) ).
tcf(c_79468,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_18048,c_40228]) ).
tcf(c_79999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),set_intersection2(X2,X3))
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X3)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_77,c_41239]) ).
tcf(c_80001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),set_intersection2(X3,X2))
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X3)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_1405,c_41239]) ).
tcf(c_80004,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_5158,c_41239]) ).
tcf(c_80005,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_7231,c_41239]) ).
tcf(c_80007,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))))),
inference(superposition,[status(thm)],[c_10926,c_41239]) ).
tcf(c_80008,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_16904,c_41239]) ).
tcf(c_80010,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_10928,c_41239]) ).
tcf(c_80011,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_16906,c_41239]) ).
tcf(c_80012,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_41680,c_41239]) ).
tcf(c_80016,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_10922,c_41239]) ).
tcf(c_80017,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_10930,c_41239]) ).
tcf(c_80018,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))))),
inference(superposition,[status(thm)],[c_38212,c_41239]) ).
tcf(c_80019,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_48412,c_41239]) ).
tcf(c_80020,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))))),
inference(superposition,[status(thm)],[c_42363,c_41239]) ).
tcf(c_80021,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_49959,c_41239]) ).
tcf(c_80022,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))))),
inference(superposition,[status(thm)],[c_68424,c_41239]) ).
tcf(c_80024,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_13473,c_41239]) ).
tcf(c_80025,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_37853,c_41239]) ).
tcf(c_80027,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_48829,c_41239]) ).
tcf(c_80028,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_38783,c_41239]) ).
tcf(c_80030,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_52236,c_41239]) ).
tcf(c_80031,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_70008,c_41239]) ).
tcf(c_80033,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))))),
inference(superposition,[status(thm)],[c_42561,c_41239]) ).
tcf(c_80034,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_42775,c_41239]) ).
tcf(c_80035,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_42557,c_41239]) ).
tcf(c_80036,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_42770,c_41239]) ).
tcf(c_80037,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_16907,c_41239]) ).
tcf(c_80038,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_18048,c_41239]) ).
tcf(c_80048,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5147,c_41239]) ).
tcf(c_80049,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14934,c_41239]) ).
tcf(c_80050,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15667,c_41239]) ).
tcf(c_80051,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X1,X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_51,c_41239]) ).
tcf(c_80054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1851,c_41239]) ).
tcf(c_80055,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X1),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1853,c_41239]) ).
tcf(c_80056,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_2036,c_41239]) ).
tcf(c_80057,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X1,set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_2250,c_41239]) ).
tcf(c_80058,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2032,c_41239]) ).
tcf(c_80059,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_11508,c_41239]) ).
tcf(c_80060,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_3627,c_41239]) ).
tcf(c_80061,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_11507,c_41239]) ).
tcf(c_80062,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_3623,c_41239]) ).
tcf(c_80063,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_5147,c_41239]) ).
tcf(c_80064,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_50489,c_41239]) ).
tcf(c_80065,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_5138,c_41239]) ).
tcf(c_80066,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_7219,c_41239]) ).
tcf(c_80067,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_50490,c_41239]) ).
tcf(c_80068,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_7196,c_41239]) ).
tcf(c_80069,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_10227,c_41239]) ).
tcf(c_80070,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_9916,c_41239]) ).
tcf(c_80071,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1) ),
inference(superposition,[status(thm)],[c_14934,c_41239]) ).
tcf(c_80072,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_9922,c_41239]) ).
tcf(c_80073,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1) ),
inference(superposition,[status(thm)],[c_14932,c_41239]) ).
tcf(c_80074,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_14933,c_41239]) ).
tcf(c_80075,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_10224,c_41239]) ).
tcf(c_80076,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1) ),
inference(superposition,[status(thm)],[c_15667,c_41239]) ).
tcf(c_80077,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_15665,c_41239]) ).
tcf(c_80078,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_9923,c_41239]) ).
tcf(c_80079,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_15666,c_41239]) ).
tcf(c_80080,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_42340,c_41239]) ).
tcf(c_80081,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_42341,c_41239]) ).
tcf(c_82342,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0)),
inference(superposition,[status(thm)],[c_51,c_80016]) ).
tcf(c_82349,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_14934,c_80016]) ).
tcf(c_82350,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_15667,c_80016]) ).
tcf(c_82357,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1)),
inference(superposition,[status(thm)],[c_2250,c_80016]) ).
tcf(c_82366,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_7219,c_80016]) ).
tcf(c_82367,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_50490,c_80016]) ).
tcf(c_82371,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_14934,c_80016]) ).
tcf(c_82373,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14932,c_80016]) ).
tcf(c_82376,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_15667,c_80016]) ).
tcf(c_82377,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15665,c_80016]) ).
tcf(c_82380,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42340,c_80016]) ).
tcf(c_82382,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80016,c_46222]) ).
tcf(c_82383,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80016,c_52]) ).
tcf(c_82384,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_80016,c_73138]) ).
tcf(c_82385,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80016,c_25313]) ).
tcf(c_82386,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80016,c_24797]) ).
tcf(c_82387,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80016,c_18222]) ).
tcf(c_82388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_80016,c_2431]) ).
tcf(c_82389,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80016,c_9331]) ).
tcf(c_82390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_80016,c_1852]) ).
tcf(c_82391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_80016,c_1228]) ).
tcf(c_82392,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80016,c_2426]) ).
tcf(c_82393,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80016,c_1847]) ).
tcf(c_82394,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80016,c_46220]) ).
tcf(c_82395,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80016,c_41243]) ).
tcf(c_82396,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80016,c_40234]) ).
tcf(c_82398,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_80016,c_8669]) ).
tcf(c_82400,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_80016,c_40228]) ).
tcf(c_82401,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_80016,c_41239]) ).
tcf(c_83410,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_51,c_80024]) ).
tcf(c_83425,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2250,c_80024]) ).
tcf(c_83427,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_11508,c_80024]) ).
tcf(c_83431,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_5147,c_80024]) ).
tcf(c_83432,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50489,c_80024]) ).
tcf(c_83434,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_7219,c_80024]) ).
tcf(c_83439,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_14934,c_80024]) ).
tcf(c_83441,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_14932,c_80024]) ).
tcf(c_83443,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10224,c_80024]) ).
tcf(c_83444,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_15667,c_80024]) ).
tcf(c_83445,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_15665,c_80024]) ).
tcf(c_83448,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42340,c_80024]) ).
tcf(c_83450,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80024,c_46222]) ).
tcf(c_83451,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80024,c_52]) ).
tcf(c_83452,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_80024,c_73138]) ).
tcf(c_83453,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80024,c_25313]) ).
tcf(c_83454,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80024,c_24797]) ).
tcf(c_83455,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80024,c_18222]) ).
tcf(c_83456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_80024,c_2431]) ).
tcf(c_83457,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80024,c_9331]) ).
tcf(c_83458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_80024,c_1852]) ).
tcf(c_83459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),X2) ),
inference(superposition,[status(thm)],[c_80024,c_1228]) ).
tcf(c_83460,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80024,c_2426]) ).
tcf(c_83461,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_80024,c_1847]) ).
tcf(c_83463,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_80024,c_41243]) ).
tcf(c_83466,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_80024,c_8669]) ).
tcf(c_83468,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_80024,c_40228]) ).
tcf(c_83469,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_80024,c_41239]) ).
tcf(c_84535,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = set_intersection2(X0,X0) )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_46222]) ).
tcf(c_84536,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_52]) ).
tcf(c_84537,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_73138]) ).
tcf(c_84538,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_25313]) ).
tcf(c_84539,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_24797]) ).
tcf(c_84540,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_18222]) ).
tcf(c_84541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_80048,c_2431]) ).
tcf(c_84542,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_9331]) ).
tcf(c_84543,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X2,X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_80048,c_1852]) ).
tcf(c_84544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X3)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X0)),X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_1228]) ).
tcf(c_84545,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_2426]) ).
tcf(c_84546,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_80048,c_1847]) ).
tcf(c_84547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = set_intersection2(X0,X2) )
| ~ subset(X1,set_intersection2(X2,X0))
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_46220]) ).
tcf(c_84548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = set_intersection2(X2,X0) )
| ~ subset(X1,set_intersection2(X2,X0))
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_41243]) ).
tcf(c_84549,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = set_intersection2(X0,X2) )
| ~ subset(X1,set_intersection2(X0,X2))
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_40234]) ).
tcf(c_84550,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_46769]) ).
tcf(c_84551,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_4824]) ).
tcf(c_84552,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_4287]) ).
tcf(c_84553,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_2030]) ).
tcf(c_84554,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_2029]) ).
tcf(c_84555,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_1396]) ).
tcf(c_84556,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) ),
inference(superposition,[status(thm)],[c_80048,c_1115]) ).
tcf(c_84557,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_50502]) ).
tcf(c_84558,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_3984]) ).
tcf(c_84559,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_3457]) ).
tcf(c_84560,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_2243]) ).
tcf(c_84561,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_2242]) ).
tcf(c_84562,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_1358]) ).
tcf(c_84563,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_80048,c_1116]) ).
tcf(c_84564,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = set_intersection2(X0,X0) )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_41859]) ).
tcf(c_85543,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_50489,c_82342]) ).
tcf(c_85545,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_82342]) ).
tcf(c_85548,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_51,c_82342]) ).
tcf(c_85564,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_50490,c_82342]) ).
tcf(c_85579,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82342,c_46222]) ).
tcf(c_85580,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82342,c_52]) ).
tcf(c_85581,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_82342,c_73138]) ).
tcf(c_85582,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82342,c_25313]) ).
tcf(c_85583,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82342,c_24797]) ).
tcf(c_85584,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82342,c_18222]) ).
tcf(c_85585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_82342,c_2431]) ).
tcf(c_85586,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82342,c_9331]) ).
tcf(c_85587,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_82342,c_1852]) ).
tcf(c_85588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),X2) ),
inference(superposition,[status(thm)],[c_82342,c_1228]) ).
tcf(c_85589,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82342,c_2426]) ).
tcf(c_85590,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82342,c_1847]) ).
tcf(c_85591,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82342,c_46220]) ).
tcf(c_85592,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82342,c_41243]) ).
tcf(c_85593,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82342,c_40234]) ).
tcf(c_85595,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) ),
inference(superposition,[status(thm)],[c_82342,c_8669]) ).
tcf(c_85597,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82342,c_40228]) ).
tcf(c_85598,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_82342,c_41239]) ).
tcf(c_86539,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_82349,c_46222]) ).
tcf(c_86541,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_82349,c_73138]) ).
tcf(c_86542,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82349,c_25313]) ).
tcf(c_86543,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82349,c_24797]) ).
tcf(c_86544,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82349,c_18222]) ).
tcf(c_86545,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_82349,c_2431]) ).
tcf(c_86546,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82349,c_9331]) ).
tcf(c_86547,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_82349,c_1852]) ).
tcf(c_86548,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_82349,c_1228]) ).
tcf(c_86549,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82349,c_2426]) ).
tcf(c_86550,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)) = set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82349,c_1847]) ).
tcf(c_86773,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_82350,c_46222]) ).
tcf(c_86775,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_82350,c_73138]) ).
tcf(c_86776,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_82350,c_25313]) ).
tcf(c_86777,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_82350,c_24797]) ).
tcf(c_86778,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_82350,c_18222]) ).
tcf(c_86779,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_82350,c_2431]) ).
tcf(c_86780,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_82350,c_9331]) ).
tcf(c_86781,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_82350,c_1852]) ).
tcf(c_86782,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_82350,c_1228]) ).
tcf(c_86783,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_82350,c_2426]) ).
tcf(c_86784,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)) = set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_82350,c_1847]) ).
tcf(c_87141,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_83410]) ).
tcf(c_87146,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_51,c_83410]) ).
tcf(c_87162,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50490,c_83410]) ).
tcf(c_87177,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_83410,c_46222]) ).
tcf(c_87178,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_83410,c_52]) ).
tcf(c_87179,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_83410,c_73138]) ).
tcf(c_87180,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83410,c_25313]) ).
tcf(c_87181,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83410,c_24797]) ).
tcf(c_87182,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83410,c_18222]) ).
tcf(c_87183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_83410,c_2431]) ).
tcf(c_87184,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83410,c_9331]) ).
tcf(c_87185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_83410,c_1852]) ).
tcf(c_87186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_83410,c_1228]) ).
tcf(c_87187,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83410,c_2426]) ).
tcf(c_87188,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83410,c_1847]) ).
tcf(c_87190,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_83410,c_41243]) ).
tcf(c_87193,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_83410,c_8669]) ).
tcf(c_87195,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_83410,c_40228]) ).
tcf(c_87196,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_83410,c_41239]) ).
tcf(c_87729,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_50490,c_85548]) ).
tcf(c_87731,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_14933,c_85548]) ).
tcf(c_87732,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_85548]) ).
tcf(c_87733,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_15666,c_85548]) ).
tcf(c_87747,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_85548]) ).
tcf(c_87750,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_85548]) ).
tcf(c_87751,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_7196,c_85548]) ).
tcf(c_87755,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_9922,c_85548]) ).
tcf(c_87757,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14933,c_85548]) ).
tcf(c_87758,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10224,c_85548]) ).
tcf(c_87761,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_9923,c_85548]) ).
tcf(c_87762,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15666,c_85548]) ).
tcf(c_87764,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42341,c_85548]) ).
tcf(c_87765,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_85548,c_46222]) ).
tcf(c_87766,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_85548,c_52]) ).
tcf(c_87767,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_85548,c_73138]) ).
tcf(c_87768,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_85548,c_25313]) ).
tcf(c_87769,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_85548,c_24797]) ).
tcf(c_87770,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_85548,c_18222]) ).
tcf(c_87771,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_85548,c_2431]) ).
tcf(c_87772,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_85548,c_9331]) ).
tcf(c_87773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_85548,c_1852]) ).
tcf(c_87774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),X2) ),
inference(superposition,[status(thm)],[c_85548,c_1228]) ).
tcf(c_87775,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_85548,c_2426]) ).
tcf(c_87776,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_85548,c_1847]) ).
tcf(c_87777,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_85548,c_46220]) ).
tcf(c_87778,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_85548,c_41243]) ).
tcf(c_87779,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_85548,c_40234]) ).
tcf(c_87782,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_85548,c_40226]) ).
tcf(c_87784,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),X0)),
inference(superposition,[status(thm)],[c_85548,c_41239]) ).
tcf(c_88514,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_87146]) ).
tcf(c_88532,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_87146]) ).
tcf(c_88533,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_5138,c_87146]) ).
tcf(c_88535,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50490,c_87146]) ).
tcf(c_88536,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_7196,c_87146]) ).
tcf(c_88538,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_9916,c_87146]) ).
tcf(c_88540,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0))),
inference(superposition,[status(thm)],[c_9922,c_87146]) ).
tcf(c_88542,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0))),
inference(superposition,[status(thm)],[c_14933,c_87146]) ).
tcf(c_88543,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10224,c_87146]) ).
tcf(c_88546,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0))),
inference(superposition,[status(thm)],[c_9923,c_87146]) ).
tcf(c_88547,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0))),
inference(superposition,[status(thm)],[c_15666,c_87146]) ).
tcf(c_88549,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_42341,c_87146]) ).
tcf(c_88550,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_87146,c_46222]) ).
tcf(c_88551,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_87146,c_52]) ).
tcf(c_88552,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_87146,c_73138]) ).
tcf(c_88553,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_87146,c_25313]) ).
tcf(c_88554,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_87146,c_24797]) ).
tcf(c_88555,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1)))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_87146,c_18222]) ).
tcf(c_88556,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1))),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_87146,c_2431]) ).
tcf(c_88557,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1))))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_87146,c_9331]) ).
tcf(c_88558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1))),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_87146,c_1852]) ).
tcf(c_88559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),X2) ),
inference(superposition,[status(thm)],[c_87146,c_1228]) ).
tcf(c_88560,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_87146,c_2426]) ).
tcf(c_88561,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_87146,c_1847]) ).
tcf(c_88563,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_87146,c_41243]) ).
tcf(c_88567,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_87146,c_40226]) ).
tcf(c_88569,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_87146,c_41239]) ).
tcf(c_89631,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2250,c_76260]) ).
tcf(c_89645,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_14934,c_76260]) ).
tcf(c_89647,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_14932,c_76260]) ).
tcf(c_89650,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_15667,c_76260]) ).
tcf(c_89651,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_15665,c_76260]) ).
tcf(c_89654,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42340,c_76260]) ).
tcf(c_89656,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_76260,c_46222]) ).
tcf(c_89658,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_76260,c_73138]) ).
tcf(c_89659,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76260,c_25313]) ).
tcf(c_89660,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76260,c_24797]) ).
tcf(c_89661,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76260,c_18222]) ).
tcf(c_89662,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_76260,c_2431]) ).
tcf(c_89663,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_76260,c_9331]) ).
tcf(c_89664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_76260,c_1852]) ).
tcf(c_89665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X2) ),
inference(superposition,[status(thm)],[c_76260,c_1228]) ).
tcf(c_89679,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_76260,c_8669]) ).
tcf(c_89681,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_76260,c_40228]) ).
tcf(c_89869,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_82357]) ).
tcf(c_89872,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_82357]) ).
tcf(c_89887,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82357,c_46222]) ).
tcf(c_89888,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82357,c_52]) ).
tcf(c_89889,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_82357,c_73138]) ).
tcf(c_89890,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82357,c_25313]) ).
tcf(c_89891,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82357,c_24797]) ).
tcf(c_89892,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82357,c_18222]) ).
tcf(c_89893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_82357,c_2431]) ).
tcf(c_89894,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82357,c_9331]) ).
tcf(c_89895,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_82357,c_1852]) ).
tcf(c_89896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_82357,c_1228]) ).
tcf(c_89897,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82357,c_2426]) ).
tcf(c_89898,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_82357,c_1847]) ).
tcf(c_89899,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_82357,c_46220]) ).
tcf(c_89900,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_82357,c_41243]) ).
tcf(c_89901,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_82357,c_40234]) ).
tcf(c_89904,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_82357,c_40226]) ).
tcf(c_89906,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0),X0)),
inference(superposition,[status(thm)],[c_82357,c_41239]) ).
tcf(c_90394,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_82367,c_46222]) ).
tcf(c_90395,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_82367,c_52]) ).
tcf(c_90396,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_82367,c_73138]) ).
tcf(c_90397,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_82367,c_25313]) ).
tcf(c_90398,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_82367,c_24797]) ).
tcf(c_90399,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_82367,c_18222]) ).
tcf(c_90400,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_82367,c_2431]) ).
tcf(c_90401,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_82367,c_9331]) ).
tcf(c_90402,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_82367,c_1852]) ).
tcf(c_90403,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_82367,c_1228]) ).
tcf(c_90404,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_82367,c_2426]) ).
tcf(c_90405,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_82367,c_1847]) ).
tcf(c_90407,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_82367,c_41243]) ).
tcf(c_90408,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_82367,c_40234]) ).
tcf(c_90725,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_50489,c_83425]) ).
tcf(c_90728,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_50490,c_83425]) ).
tcf(c_90743,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_83425,c_46222]) ).
tcf(c_90744,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_83425,c_52]) ).
tcf(c_90745,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_83425,c_73138]) ).
tcf(c_90746,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_83425,c_25313]) ).
tcf(c_90747,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83425,c_24797]) ).
tcf(c_90748,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83425,c_18222]) ).
tcf(c_90749,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_83425,c_2431]) ).
tcf(c_90750,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83425,c_9331]) ).
tcf(c_90751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_83425,c_1852]) ).
tcf(c_90752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_83425,c_1228]) ).
tcf(c_90753,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_83425,c_2426]) ).
tcf(c_90754,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_83425,c_1847]) ).
tcf(c_90756,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_83425,c_41243]) ).
tcf(c_90760,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_83425,c_40226]) ).
tcf(c_90762,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),X0))),
inference(superposition,[status(thm)],[c_83425,c_41239]) ).
tcf(c_91495,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_83432,c_46222]) ).
tcf(c_91497,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_83432,c_73138]) ).
tcf(c_91498,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_83432,c_25313]) ).
tcf(c_91499,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_83432,c_24797]) ).
tcf(c_91500,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_83432,c_18222]) ).
tcf(c_91501,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_83432,c_2431]) ).
tcf(c_91502,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_83432,c_9331]) ).
tcf(c_91503,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_83432,c_1852]) ).
tcf(c_91504,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_83432,c_1228]) ).
tcf(c_91505,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_83432,c_2426]) ).
tcf(c_91506,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_83432,c_1847]) ).
tcf(c_91701,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_85543,c_46222]) ).
tcf(c_91702,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_85543,c_52]) ).
tcf(c_91703,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_85543,c_73138]) ).
tcf(c_91704,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85543,c_25313]) ).
tcf(c_91705,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85543,c_24797]) ).
tcf(c_91706,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85543,c_18222]) ).
tcf(c_91707,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_85543,c_2431]) ).
tcf(c_91708,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85543,c_9331]) ).
tcf(c_91709,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_85543,c_1852]) ).
tcf(c_91710,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X0)),X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_85543,c_1228]) ).
tcf(c_91711,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85543,c_2426]) ).
tcf(c_91712,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85543,c_1847]) ).
tcf(c_91714,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_85543,c_41243]) ).
tcf(c_91715,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_85543,c_40234]) ).
tcf(c_91766,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_85564,c_46222]) ).
tcf(c_91767,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_85564,c_52]) ).
tcf(c_91768,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_85564,c_73138]) ).
tcf(c_91769,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_85564,c_25313]) ).
tcf(c_91770,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_85564,c_24797]) ).
tcf(c_91771,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_85564,c_18222]) ).
tcf(c_91772,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_85564,c_2431]) ).
tcf(c_91773,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_85564,c_9331]) ).
tcf(c_91774,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_85564,c_1852]) ).
tcf(c_91775,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_85564,c_1228]) ).
tcf(c_91776,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_85564,c_2426]) ).
tcf(c_91777,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_85564,c_1847]) ).
tcf(c_91779,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(X0,set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_85564,c_41243]) ).
tcf(c_91780,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_85564,c_40234]) ).
tcf(c_93200,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_87141,c_18222]) ).
tcf(c_93201,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_87141,c_2431]) ).
tcf(c_93202,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_87141,c_9331]) ).
tcf(c_93203,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_87141,c_1852]) ).
tcf(c_93204,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X0)),X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_87141,c_1228]) ).
tcf(c_93205,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(X0,set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_87141,c_2426]) ).
tcf(c_93252,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)) ),
inference(superposition,[status(thm)],[c_87162,c_46222]) ).
tcf(c_93254,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_87162,c_73138]) ).
tcf(c_93255,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_87162,c_25313]) ).
tcf(c_93256,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_87162,c_24797]) ).
tcf(c_93257,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_87162,c_18222]) ).
tcf(c_93258,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1),set_intersection2(X0,X0)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_87162,c_2431]) ).
tcf(c_93259,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_87162,c_9331]) ).
tcf(c_93260,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1)) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_87162,c_1852]) ).
tcf(c_93261,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X0),X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_87162,c_1228]) ).
tcf(c_93262,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0)) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_87162,c_2426]) ).
tcf(c_93263,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_87162,c_1847]) ).
tcf(c_93565,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_87729,c_18222]) ).
tcf(c_93566,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_87729,c_2431]) ).
tcf(c_93567,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_87729,c_9331]) ).
tcf(c_93568,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_87729,c_1852]) ).
tcf(c_93569,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,X0),X0),X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_87729,c_1228]) ).
tcf(c_93570,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_87729,c_2426]) ).
tcf(c_93572,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_87729,c_46220]) ).
tcf(c_93591,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) ),
inference(superposition,[status(thm)],[c_87731,c_46222]) ).
tcf(c_93592,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) ),
inference(superposition,[status(thm)],[c_87731,c_52]) ).
tcf(c_93593,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_87731,c_73138]) ).
tcf(c_93594,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_87731,c_25313]) ).
tcf(c_93595,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_87731,c_24797]) ).
tcf(c_93596,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_87731,c_18222]) ).
tcf(c_93597,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_87731,c_2431]) ).
tcf(c_93598,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_87731,c_9331]) ).
tcf(c_93599,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_87731,c_1852]) ).
tcf(c_93600,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_87731,c_1228]) ).
tcf(c_93601,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_87731,c_2426]) ).
tcf(c_93602,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),
inference(superposition,[status(thm)],[c_87731,c_1847]) ).
tcf(c_93654,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_87733,c_46222]) ).
tcf(c_93655,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) = set_intersection2(X0,X0) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_87733,c_52]) ).
tcf(c_93656,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_87733,c_73138]) ).
tcf(c_93657,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_87733,c_25313]) ).
tcf(c_93658,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_87733,c_24797]) ).
tcf(c_93659,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_87733,c_18222]) ).
tcf(c_93660,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_87733,c_2431]) ).
tcf(c_93661,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_87733,c_9331]) ).
tcf(c_93662,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_87733,c_1852]) ).
tcf(c_93663,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_87733,c_1228]) ).
tcf(c_93664,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_87733,c_2426]) ).
tcf(c_93665,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),
inference(superposition,[status(thm)],[c_87733,c_1847]) ).
tcf(c_94124,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_88514,c_46222]) ).
tcf(c_94125,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_88514,c_52]) ).
tcf(c_94126,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_88514,c_73138]) ).
tcf(c_94127,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_88514,c_25313]) ).
tcf(c_94128,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_88514,c_24797]) ).
tcf(c_94129,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_88514,c_18222]) ).
tcf(c_94130,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_88514,c_2431]) ).
tcf(c_94131,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_88514,c_9331]) ).
tcf(c_94132,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_88514,c_1852]) ).
tcf(c_94133,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X2)
| in(sK5(set_intersection2(set_intersection2(X0,X0),X0),X2),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_88514,c_1228]) ).
tcf(c_94134,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_88514,c_2426]) ).
tcf(c_94135,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,X0),X0),
inference(superposition,[status(thm)],[c_88514,c_1847]) ).
tcf(c_94137,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),X0) = set_intersection2(X0,set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_88514,c_41243]) ).
tcf(c_94436,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_2250,c_77488]) ).
tcf(c_94438,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_11508,c_77488]) ).
tcf(c_94450,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),X0),
inference(superposition,[status(thm)],[c_14934,c_77488]) ).
tcf(c_94452,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),X0),
inference(superposition,[status(thm)],[c_14932,c_77488]) ).
tcf(c_94454,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10224,c_77488]) ).
tcf(c_94455,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),X0),
inference(superposition,[status(thm)],[c_15667,c_77488]) ).
tcf(c_94456,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),X0),
inference(superposition,[status(thm)],[c_15665,c_77488]) ).
tcf(c_94459,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),X0),
inference(superposition,[status(thm)],[c_42340,c_77488]) ).
tcf(c_94463,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_77488,c_73138]) ).
tcf(c_94464,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_77488,c_25313]) ).
tcf(c_94465,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_77488,c_24797]) ).
tcf(c_94466,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_77488,c_18222]) ).
tcf(c_94467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X2) ),
inference(superposition,[status(thm)],[c_77488,c_2431]) ).
tcf(c_94468,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_77488,c_9331]) ).
tcf(c_94469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X2) ),
inference(superposition,[status(thm)],[c_77488,c_1852]) ).
tcf(c_94470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_77488,c_1228]) ).
tcf(c_94471,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_77488,c_2426]) ).
tcf(c_94472,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_77488,c_1847]) ).
tcf(c_94473,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X1))) ),
inference(superposition,[status(thm)],[c_77488,c_46220]) ).
tcf(c_94474,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X1))) ),
inference(superposition,[status(thm)],[c_77488,c_41243]) ).
tcf(c_94600,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_78771]) ).
tcf(c_94601,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_5138,c_78771]) ).
tcf(c_94602,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_9916,c_78771]) ).
tcf(c_94603,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_9922,c_78771]) ).
tcf(c_94604,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_9923,c_78771]) ).
tcf(c_94636,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_78771]) ).
tcf(c_94669,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_78771,c_73138]) ).
tcf(c_94670,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_78771,c_25313]) ).
tcf(c_94671,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_78771,c_24797]) ).
tcf(c_94672,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_78771,c_18222]) ).
tcf(c_94673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_78771,c_2431]) ).
tcf(c_94674,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_78771,c_9331]) ).
tcf(c_94675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_78771,c_1852]) ).
tcf(c_94676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_78771,c_1228]) ).
tcf(c_94677,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_78771,c_2426]) ).
tcf(c_94678,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_78771,c_1847]) ).
tcf(c_94679,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_78771,c_46220]) ).
tcf(c_94680,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_78771,c_41243]) ).
tcf(c_95326,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_50490,c_78845]) ).
tcf(c_95406,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50489,c_78845]) ).
tcf(c_95409,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50490,c_78845]) ).
tcf(c_95412,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_9916,c_78845]) ).
tcf(c_95414,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0),X0),
inference(superposition,[status(thm)],[c_9922,c_78845]) ).
tcf(c_95416,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_14933,c_78845]) ).
tcf(c_95417,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10224,c_78845]) ).
tcf(c_95420,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0),X0),
inference(superposition,[status(thm)],[c_9923,c_78845]) ).
tcf(c_95421,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0),X0),
inference(superposition,[status(thm)],[c_15666,c_78845]) ).
tcf(c_95423,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0),X0),
inference(superposition,[status(thm)],[c_42341,c_78845]) ).
tcf(c_95424,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_78845,c_46222]) ).
tcf(c_95425,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_78845,c_52]) ).
tcf(c_95426,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_78845,c_73138]) ).
tcf(c_95427,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_78845,c_25313]) ).
tcf(c_95428,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_78845,c_24797]) ).
tcf(c_95429,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_78845,c_18222]) ).
tcf(c_95430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X2),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_78845,c_2431]) ).
tcf(c_95431,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_78845,c_9331]) ).
tcf(c_95432,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),X2)) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_78845,c_1852]) ).
tcf(c_95433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_78845,c_1228]) ).
tcf(c_95434,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_78845,c_2426]) ).
tcf(c_95435,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_78845,c_1847]) ).
tcf(c_95436,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_78845,c_46220]) ).
tcf(c_95438,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_78845,c_40234]) ).
tcf(c_96287,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_79369]) ).
tcf(c_96288,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_5138,c_79369]) ).
tcf(c_96289,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_79369]) ).
tcf(c_96290,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),
inference(superposition,[status(thm)],[c_9922,c_79369]) ).
tcf(c_96291,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),
inference(superposition,[status(thm)],[c_9923,c_79369]) ).
tcf(c_96292,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_51,c_79369]) ).
tcf(c_96323,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_79369,c_46222]) ).
tcf(c_96325,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_79369,c_73138]) ).
tcf(c_96326,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79369,c_25313]) ).
tcf(c_96327,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79369,c_24797]) ).
tcf(c_96328,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79369,c_18222]) ).
tcf(c_96329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_79369,c_2431]) ).
tcf(c_96330,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79369,c_9331]) ).
tcf(c_96331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_79369,c_1852]) ).
tcf(c_96332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_79369,c_1228]) ).
tcf(c_96346,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_79369,c_8669]) ).
tcf(c_96348,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_79369,c_40228]) ).
tcf(c_96349,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_79369,c_41239]) ).
tcf(c_96627,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_77,c_41240]) ).
tcf(c_96629,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_1405,c_41240]) ).
tcf(c_96632,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_5158,c_41240]) ).
tcf(c_96633,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_7231,c_41240]) ).
tcf(c_96634,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_10926,c_41240]) ).
tcf(c_96635,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_16904,c_41240]) ).
tcf(c_96637,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_10928,c_41240]) ).
tcf(c_96638,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_16906,c_41240]) ).
tcf(c_96639,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_41680,c_41240]) ).
tcf(c_96642,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_10930,c_41240]) ).
tcf(c_96643,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))))),
inference(superposition,[status(thm)],[c_38212,c_41240]) ).
tcf(c_96644,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_48412,c_41240]) ).
tcf(c_96645,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_42363,c_41240]) ).
tcf(c_96646,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_49959,c_41240]) ).
tcf(c_96647,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_68424,c_41240]) ).
tcf(c_96650,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_37853,c_41240]) ).
tcf(c_96651,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_48829,c_41240]) ).
tcf(c_96654,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_38783,c_41240]) ).
tcf(c_96655,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_52236,c_41240]) ).
tcf(c_96656,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_70008,c_41240]) ).
tcf(c_96658,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_42561,c_41240]) ).
tcf(c_96659,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42775,c_41240]) ).
tcf(c_96660,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42557,c_41240]) ).
tcf(c_96661,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42770,c_41240]) ).
tcf(c_96667,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_82357,c_41240]) ).
tcf(c_96668,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0)),
inference(superposition,[status(thm)],[c_80016,c_41240]) ).
tcf(c_96670,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_85548,c_41240]) ).
tcf(c_96671,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0))),
inference(superposition,[status(thm)],[c_80024,c_41240]) ).
tcf(c_96672,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_83425,c_41240]) ).
tcf(c_96674,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_87146,c_41240]) ).
tcf(c_97562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),set_intersection2(X2,X3))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X3)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_77,c_41241]) ).
tcf(c_97564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),set_intersection2(X3,X2))
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X3)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1405,c_41241]) ).
tcf(c_97568,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_5158,c_41241]) ).
tcf(c_97569,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_7231,c_41241]) ).
tcf(c_97570,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))))),
inference(superposition,[status(thm)],[c_10926,c_41241]) ).
tcf(c_97571,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_16904,c_41241]) ).
tcf(c_97573,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_10928,c_41241]) ).
tcf(c_97574,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_16906,c_41241]) ).
tcf(c_97575,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_41680,c_41241]) ).
tcf(c_97578,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10930,c_41241]) ).
tcf(c_97579,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))))),
inference(superposition,[status(thm)],[c_38212,c_41241]) ).
tcf(c_97580,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_48412,c_41241]) ).
tcf(c_97581,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))))),
inference(superposition,[status(thm)],[c_42363,c_41241]) ).
tcf(c_97582,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_49959,c_41241]) ).
tcf(c_97583,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))))),
inference(superposition,[status(thm)],[c_68424,c_41241]) ).
tcf(c_97586,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_37853,c_41241]) ).
tcf(c_97587,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_48829,c_41241]) ).
tcf(c_97589,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0))),
inference(superposition,[status(thm)],[c_76260,c_41241]) ).
tcf(c_97591,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_38783,c_41241]) ).
tcf(c_97592,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_52236,c_41241]) ).
tcf(c_97593,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_70008,c_41241]) ).
tcf(c_97597,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_79369,c_41241]) ).
tcf(c_97599,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))))),
inference(superposition,[status(thm)],[c_42561,c_41241]) ).
tcf(c_97600,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_42775,c_41241]) ).
tcf(c_97601,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_42557,c_41241]) ).
tcf(c_97602,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_42770,c_41241]) ).
tcf(c_97604,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_16907,c_41241]) ).
tcf(c_97605,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_18048,c_41241]) ).
tcf(c_97611,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_82357,c_41241]) ).
tcf(c_97612,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0),X0)),
inference(superposition,[status(thm)],[c_80016,c_41241]) ).
tcf(c_97613,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))),X0)),
inference(superposition,[status(thm)],[c_82342,c_41241]) ).
tcf(c_97614,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_85548,c_41241]) ).
tcf(c_97615,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0))),
inference(superposition,[status(thm)],[c_80024,c_41241]) ).
tcf(c_97616,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_83425,c_41241]) ).
tcf(c_97617,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_83410,c_41241]) ).
tcf(c_97618,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_87146,c_41241]) ).
tcf(c_97625,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X0),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9916,c_41241]) ).
tcf(c_97628,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,X1),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_51,c_41241]) ).
tcf(c_97633,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2036,c_41241]) ).
tcf(c_97634,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X1,set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2250,c_41241]) ).
tcf(c_97637,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3627,c_41241]) ).
tcf(c_97640,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5147,c_41241]) ).
tcf(c_97641,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50489,c_41241]) ).
tcf(c_97643,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_7219,c_41241]) ).
tcf(c_97644,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50490,c_41241]) ).
tcf(c_97648,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14934,c_41241]) ).
tcf(c_97650,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14932,c_41241]) ).
tcf(c_97653,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15667,c_41241]) ).
tcf(c_97654,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15665,c_41241]) ).
tcf(c_97657,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42340,c_41241]) ).
tcf(c_98667,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = set_intersection2(X0,X0) )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_46222]) ).
tcf(c_98668,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_52]) ).
tcf(c_98669,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_73138]) ).
tcf(c_98670,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_25313]) ).
tcf(c_98671,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_24797]) ).
tcf(c_98672,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_18222]) ).
tcf(c_98673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X2,X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_97637,c_2431]) ).
tcf(c_98674,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_9331]) ).
tcf(c_98675,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X2,X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_97637,c_1852]) ).
tcf(c_98676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X0),X0),X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_1228]) ).
tcf(c_98677,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_2426]) ).
tcf(c_98678,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_97637,c_1847]) ).
tcf(c_98679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = set_intersection2(X0,X2) )
| ~ subset(X1,set_intersection2(X2,X0))
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_46220]) ).
tcf(c_98680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = set_intersection2(X2,X0) )
| ~ subset(X1,set_intersection2(X2,X0))
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_41243]) ).
tcf(c_98681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = set_intersection2(X0,X2) )
| ~ subset(X1,set_intersection2(X0,X2))
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_40234]) ).
tcf(c_98682,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_46769]) ).
tcf(c_98683,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_4824]) ).
tcf(c_98684,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_4287]) ).
tcf(c_98685,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_2030]) ).
tcf(c_98686,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_2029]) ).
tcf(c_98687,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_1396]) ).
tcf(c_98688,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_1115]) ).
tcf(c_98689,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_50502]) ).
tcf(c_98690,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_3984]) ).
tcf(c_98691,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_3457]) ).
tcf(c_98692,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_2243]) ).
tcf(c_98693,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_2242]) ).
tcf(c_98694,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X1) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_1358]) ).
tcf(c_98695,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0)) = set_intersection2(set_intersection2(X0,X0),X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(set_intersection2(X0,X0),X0))) ),
inference(superposition,[status(thm)],[c_97637,c_1116]) ).
tcf(c_98696,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = set_intersection2(X0,X0) )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_41859]) ).
tcf(c_99159,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_77,c_41242]) ).
tcf(c_99161,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X2)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_1405,c_41242]) ).
tcf(c_99164,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_5158,c_41242]) ).
tcf(c_99165,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_7231,c_41242]) ).
tcf(c_99166,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_10926,c_41242]) ).
tcf(c_99167,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_16904,c_41242]) ).
tcf(c_99169,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_10928,c_41242]) ).
tcf(c_99170,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_16906,c_41242]) ).
tcf(c_99171,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_41680,c_41242]) ).
tcf(c_99174,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_10930,c_41242]) ).
tcf(c_99175,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))))),
inference(superposition,[status(thm)],[c_38212,c_41242]) ).
tcf(c_99176,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_48412,c_41242]) ).
tcf(c_99177,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_42363,c_41242]) ).
tcf(c_99178,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_49959,c_41242]) ).
tcf(c_99179,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_68424,c_41242]) ).
tcf(c_99182,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_37853,c_41242]) ).
tcf(c_99183,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_48829,c_41242]) ).
tcf(c_99185,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_38783,c_41242]) ).
tcf(c_99186,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_52236,c_41242]) ).
tcf(c_99187,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_70008,c_41242]) ).
tcf(c_99190,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_42561,c_41242]) ).
tcf(c_99191,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42775,c_41242]) ).
tcf(c_99192,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42557,c_41242]) ).
tcf(c_99193,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42770,c_41242]) ).
tcf(c_99199,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_82357,c_41242]) ).
tcf(c_99200,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0)),
inference(superposition,[status(thm)],[c_80016,c_41242]) ).
tcf(c_99202,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_85548,c_41242]) ).
tcf(c_99203,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0))),
inference(superposition,[status(thm)],[c_80024,c_41242]) ).
tcf(c_99204,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_83425,c_41242]) ).
tcf(c_99206,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_87146,c_41242]) ).
tcf(c_99928,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_41664,c_46222]) ).
tcf(c_99929,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_41664,c_52]) ).
tcf(c_99930,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_41664,c_73138]) ).
tcf(c_99931,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_41664,c_25313]) ).
tcf(c_99932,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0)) = X0,
inference(superposition,[status(thm)],[c_41664,c_24797]) ).
tcf(c_99933,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_41664,c_18222]) ).
tcf(c_99934,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_41664,c_2431]) ).
tcf(c_99935,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) = X0,
inference(superposition,[status(thm)],[c_41664,c_9331]) ).
tcf(c_99936,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_41664,c_1852]) ).
tcf(c_99937,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_41664,c_1228]) ).
tcf(c_99938,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_41664,c_2426]) ).
tcf(c_99939,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_41664,c_1847]) ).
tcf(c_99940,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_41664,c_46220]) ).
tcf(c_99941,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_41664,c_41243]) ).
tcf(c_99942,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_41664,c_40234]) ).
tcf(c_99943,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_41664,c_40223]) ).
tcf(c_99944,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_41664,c_8669]) ).
tcf(c_99945,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_41664,c_40226]) ).
tcf(c_99946,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_41664,c_40228]) ).
tcf(c_99947,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))))),
inference(superposition,[status(thm)],[c_41664,c_41239]) ).
tcf(c_99948,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))))),
inference(superposition,[status(thm)],[c_41664,c_41241]) ).
tcf(c_99949,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_41664,c_41240]) ).
tcf(c_99950,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_41664,c_41242]) ).
tcf(c_100896,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_41665,c_46222]) ).
tcf(c_100897,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0) ),
inference(superposition,[status(thm)],[c_41665,c_52]) ).
tcf(c_100898,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_41665,c_73138]) ).
tcf(c_100899,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_41665,c_25313]) ).
tcf(c_100900,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_41665,c_24797]) ).
tcf(c_100901,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_41665,c_18222]) ).
tcf(c_100902,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_41665,c_2431]) ).
tcf(c_100903,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_41665,c_9331]) ).
tcf(c_100904,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_41665,c_1852]) ).
tcf(c_100905,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_41665,c_1228]) ).
tcf(c_100906,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_41665,c_2426]) ).
tcf(c_100907,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_41665,c_1847]) ).
tcf(c_100909,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = X0 )
| ~ subset(set_intersection2(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_41665,c_41243]) ).
tcf(c_100911,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_41665,c_40223]) ).
tcf(c_100912,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_41665,c_8669]) ).
tcf(c_100913,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_41665,c_40226]) ).
tcf(c_100914,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_41665,c_40228]) ).
tcf(c_100915,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_41665,c_41239]) ).
tcf(c_100916,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_41665,c_41241]) ).
tcf(c_100917,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_41665,c_41240]) ).
tcf(c_100918,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_41665,c_41242]) ).
tcf(c_102022,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_42558,c_46222]) ).
tcf(c_102023,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X0) ),
inference(superposition,[status(thm)],[c_42558,c_52]) ).
tcf(c_102024,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42558,c_73138]) ).
tcf(c_102025,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42558,c_25313]) ).
tcf(c_102026,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X0)) = X0,
inference(superposition,[status(thm)],[c_42558,c_24797]) ).
tcf(c_102027,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),X0) = X0,
inference(superposition,[status(thm)],[c_42558,c_18222]) ).
tcf(c_102028,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42558,c_2431]) ).
tcf(c_102029,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))))) = X0,
inference(superposition,[status(thm)],[c_42558,c_9331]) ).
tcf(c_102030,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42558,c_1852]) ).
tcf(c_102031,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_42558,c_1228]) ).
tcf(c_102032,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),X0) = X0,
inference(superposition,[status(thm)],[c_42558,c_2426]) ).
tcf(c_102033,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_42558,c_1847]) ).
tcf(c_102038,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42558,c_40223]) ).
tcf(c_102039,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))) ),
inference(superposition,[status(thm)],[c_42558,c_8669]) ).
tcf(c_102040,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42558,c_40226]) ).
tcf(c_102041,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42558,c_40228]) ).
tcf(c_102042,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0))))),
inference(superposition,[status(thm)],[c_42558,c_41239]) ).
tcf(c_102043,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))))),
inference(superposition,[status(thm)],[c_42558,c_41241]) ).
tcf(c_102044,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_42558,c_41240]) ).
tcf(c_102045,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_42558,c_41242]) ).
tcf(c_102995,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_42773,c_46222]) ).
tcf(c_102996,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)) = X0 )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X0) ),
inference(superposition,[status(thm)],[c_42773,c_52]) ).
tcf(c_102997,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))) = set_intersection2(X0,X0),
inference(superposition,[status(thm)],[c_42773,c_73138]) ).
tcf(c_102998,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X0),X0) = X0,
inference(superposition,[status(thm)],[c_42773,c_25313]) ).
tcf(c_102999,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_42773,c_24797]) ).
tcf(c_103000,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),X0) = X0,
inference(superposition,[status(thm)],[c_42773,c_18222]) ).
tcf(c_103001,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X1),X0) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42773,c_2431]) ).
tcf(c_103002,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))) = X0,
inference(superposition,[status(thm)],[c_42773,c_9331]) ).
tcf(c_103003,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X1)) = X0 )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42773,c_1852]) ).
tcf(c_103004,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(X0,X2),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_42773,c_1228]) ).
tcf(c_103005,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),X0) = X0,
inference(superposition,[status(thm)],[c_42773,c_2426]) ).
tcf(c_103006,plain,
! [X0: $i] : set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0))) = X0,
inference(superposition,[status(thm)],[c_42773,c_1847]) ).
tcf(c_103011,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42773,c_40223]) ).
tcf(c_103012,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK5(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0)))) ),
inference(superposition,[status(thm)],[c_42773,c_8669]) ).
tcf(c_103013,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42773,c_40226]) ).
tcf(c_103014,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_42773,c_40228]) ).
tcf(c_103015,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_42773,c_41239]) ).
tcf(c_103016,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_42773,c_41241]) ).
tcf(c_103017,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42773,c_41240]) ).
tcf(c_103018,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_42773,c_41242]) ).
tcf(c_103765,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_77,c_48429]) ).
tcf(c_103767,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1) ),
inference(superposition,[status(thm)],[c_1405,c_48429]) ).
tcf(c_103770,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_5158,c_48429]) ).
tcf(c_103771,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_7231,c_48429]) ).
tcf(c_103772,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_10926,c_48429]) ).
tcf(c_103773,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_16904,c_48429]) ).
tcf(c_103775,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_10928,c_48429]) ).
tcf(c_103776,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_16906,c_48429]) ).
tcf(c_103777,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_41680,c_48429]) ).
tcf(c_103781,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_10930,c_48429]) ).
tcf(c_103782,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))))),
inference(superposition,[status(thm)],[c_38212,c_48429]) ).
tcf(c_103783,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_48412,c_48429]) ).
tcf(c_103784,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_42363,c_48429]) ).
tcf(c_103785,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_49959,c_48429]) ).
tcf(c_103786,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_68424,c_48429]) ).
tcf(c_103789,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_37853,c_48429]) ).
tcf(c_103790,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_48829,c_48429]) ).
tcf(c_103791,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_76260,c_48429]) ).
tcf(c_103792,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_38783,c_48429]) ).
tcf(c_103793,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_52236,c_48429]) ).
tcf(c_103794,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_70008,c_48429]) ).
tcf(c_103795,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_79369,c_48429]) ).
tcf(c_103796,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_42561,c_48429]) ).
tcf(c_103797,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_42775,c_48429]) ).
tcf(c_103798,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_42557,c_48429]) ).
tcf(c_103799,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_42770,c_48429]) ).
tcf(c_103800,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_16907,c_48429]) ).
tcf(c_103801,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_18048,c_48429]) ).
tcf(c_103804,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_41664,c_48429]) ).
tcf(c_103805,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_41665,c_48429]) ).
tcf(c_103806,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_42558,c_48429]) ).
tcf(c_103807,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_42773,c_48429]) ).
tcf(c_103809,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0)),
inference(superposition,[status(thm)],[c_82357,c_48429]) ).
tcf(c_103810,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_80016,c_48429]) ).
tcf(c_103811,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_82342,c_48429]) ).
tcf(c_103813,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_80024,c_48429]) ).
tcf(c_103814,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0))),
inference(superposition,[status(thm)],[c_83425,c_48429]) ).
tcf(c_103815,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_83410,c_48429]) ).
tcf(c_104087,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_77,c_49976]) ).
tcf(c_104089,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_1405,c_49976]) ).
tcf(c_104092,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_5158,c_49976]) ).
tcf(c_104093,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_7231,c_49976]) ).
tcf(c_104094,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_10926,c_49976]) ).
tcf(c_104095,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_16904,c_49976]) ).
tcf(c_104096,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_10928,c_49976]) ).
tcf(c_104098,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_16906,c_49976]) ).
tcf(c_104099,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_41680,c_49976]) ).
tcf(c_104103,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_10930,c_49976]) ).
tcf(c_104104,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))))),
inference(superposition,[status(thm)],[c_38212,c_49976]) ).
tcf(c_104105,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_48412,c_49976]) ).
tcf(c_104106,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_42363,c_49976]) ).
tcf(c_104107,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_49959,c_49976]) ).
tcf(c_104108,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_68424,c_49976]) ).
tcf(c_104111,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_37853,c_49976]) ).
tcf(c_104112,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_48829,c_49976]) ).
tcf(c_104113,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_76260,c_49976]) ).
tcf(c_104114,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_38783,c_49976]) ).
tcf(c_104115,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_52236,c_49976]) ).
tcf(c_104116,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_70008,c_49976]) ).
tcf(c_104117,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_79369,c_49976]) ).
tcf(c_104118,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_42561,c_49976]) ).
tcf(c_104119,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_42775,c_49976]) ).
tcf(c_104120,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_42557,c_49976]) ).
tcf(c_104121,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_42770,c_49976]) ).
tcf(c_104122,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_16907,c_49976]) ).
tcf(c_104123,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_18048,c_49976]) ).
tcf(c_104126,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_41664,c_49976]) ).
tcf(c_104127,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_41665,c_49976]) ).
tcf(c_104128,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_42558,c_49976]) ).
tcf(c_104129,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_42773,c_49976]) ).
tcf(c_104131,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_82357,c_49976]) ).
tcf(c_104132,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_80016,c_49976]) ).
tcf(c_104133,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_82342,c_49976]) ).
tcf(c_104135,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_80024,c_49976]) ).
tcf(c_104136,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0))),
inference(superposition,[status(thm)],[c_83425,c_49976]) ).
tcf(c_104137,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_83410,c_49976]) ).
tcf(c_105128,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_77,c_68441]) ).
tcf(c_105130,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X2,X1))
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_1405,c_68441]) ).
tcf(c_105137,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_10926,c_68441]) ).
tcf(c_105138,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_16904,c_68441]) ).
tcf(c_105139,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_10928,c_68441]) ).
tcf(c_105140,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_16906,c_68441]) ).
tcf(c_105141,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_41680,c_68441]) ).
tcf(c_105145,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_38212,c_68441]) ).
tcf(c_105146,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_48412,c_68441]) ).
tcf(c_105147,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42363,c_68441]) ).
tcf(c_105148,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_49959,c_68441]) ).
tcf(c_105149,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_68424,c_68441]) ).
tcf(c_105153,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_37853,c_68441]) ).
tcf(c_105154,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_48829,c_68441]) ).
tcf(c_105157,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_38783,c_68441]) ).
tcf(c_105158,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_52236,c_68441]) ).
tcf(c_105159,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_70008,c_68441]) ).
tcf(c_105165,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42561,c_68441]) ).
tcf(c_105166,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42775,c_68441]) ).
tcf(c_105167,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42557,c_68441]) ).
tcf(c_105168,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42770,c_68441]) ).
tcf(c_105169,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| in(sK5(set_intersection2(X0,X0),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_39618,c_68441]) ).
tcf(c_105174,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_41664,c_68441]) ).
tcf(c_105175,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_41665,c_68441]) ).
tcf(c_105176,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42558,c_68441]) ).
tcf(c_105177,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42773,c_68441]) ).
tcf(c_105316,plain,
! [X0: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) ),
inference(superposition,[status(thm)],[c_70363,c_46222]) ).
tcf(c_105318,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_73138]) ).
tcf(c_105319,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_25313]) ).
tcf(c_105320,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_24797]) ).
tcf(c_105321,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_18222]) ).
tcf(c_105322,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X0),X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_70363,c_2431]) ).
tcf(c_105323,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_9331]) ).
tcf(c_105324,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X1)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_70363,c_1852]) ).
tcf(c_105325,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X2)
| in(sK5(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X2),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_70363,c_1228]) ).
tcf(c_105326,plain,
! [X0: $i] : set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_2426]) ).
tcf(c_105327,plain,
! [X0: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0)) = set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_70363,c_1847]) ).
tcf(c_139229,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_79412]) ).
tcf(c_139278,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_79412]) ).
tcf(c_139281,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_79412]) ).
tcf(c_139295,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0)),
inference(superposition,[status(thm)],[c_42341,c_79412]) ).
tcf(c_139296,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_79412,c_46222]) ).
tcf(c_139298,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_79412,c_73138]) ).
tcf(c_139299,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_79412,c_25313]) ).
tcf(c_139300,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79412,c_24797]) ).
tcf(c_139301,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79412,c_18222]) ).
tcf(c_139302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_79412,c_2431]) ).
tcf(c_139303,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_79412,c_9331]) ).
tcf(c_139304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_79412,c_1852]) ).
tcf(c_139305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_79412,c_1228]) ).
tcf(c_139321,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_79412,c_40226]) ).
tcf(c_139323,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_79412,c_41239]) ).
tcf(c_139324,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_79412,c_41241]) ).
tcf(c_139325,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_79412,c_41240]) ).
tcf(c_139326,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_79412,c_41242]) ).
tcf(c_139697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),set_intersection2(X2,X3))
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X3)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_77,c_80051]) ).
tcf(c_139699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),set_intersection2(X3,X2))
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X3)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_1405,c_80051]) ).
tcf(c_139700,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X0)),
inference(superposition,[status(thm)],[c_2037,c_80051]) ).
tcf(c_139702,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_5158,c_80051]) ).
tcf(c_139703,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_7231,c_80051]) ).
tcf(c_139705,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))))),
inference(superposition,[status(thm)],[c_10926,c_80051]) ).
tcf(c_139706,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_16904,c_80051]) ).
tcf(c_139707,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_10928,c_80051]) ).
tcf(c_139709,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_16906,c_80051]) ).
tcf(c_139710,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_41680,c_80051]) ).
tcf(c_139712,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_10260,c_80051]) ).
tcf(c_139713,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_15855,c_80051]) ).
tcf(c_139714,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0)),
inference(superposition,[status(thm)],[c_10922,c_80051]) ).
tcf(c_139715,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_10930,c_80051]) ).
tcf(c_139716,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))))),
inference(superposition,[status(thm)],[c_38212,c_80051]) ).
tcf(c_139717,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_48412,c_80051]) ).
tcf(c_139718,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))))),
inference(superposition,[status(thm)],[c_42363,c_80051]) ).
tcf(c_139719,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_49959,c_80051]) ).
tcf(c_139720,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))))),
inference(superposition,[status(thm)],[c_68424,c_80051]) ).
tcf(c_139721,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_10910,c_80051]) ).
tcf(c_139722,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_13473,c_80051]) ).
tcf(c_139723,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_37853,c_80051]) ).
tcf(c_139724,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_48829,c_80051]) ).
tcf(c_139726,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_76260,c_80051]) ).
tcf(c_139727,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_38783,c_80051]) ).
tcf(c_139728,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_52236,c_80051]) ).
tcf(c_139730,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_70008,c_80051]) ).
tcf(c_139731,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_79369,c_80051]) ).
tcf(c_139733,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))))),
inference(superposition,[status(thm)],[c_42561,c_80051]) ).
tcf(c_139734,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_42775,c_80051]) ).
tcf(c_139735,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_42557,c_80051]) ).
tcf(c_139736,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_42770,c_80051]) ).
tcf(c_139738,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_16907,c_80051]) ).
tcf(c_139739,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_18048,c_80051]) ).
tcf(c_139740,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0))),
inference(superposition,[status(thm)],[c_79412,c_80051]) ).
tcf(c_139747,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))))),
inference(superposition,[status(thm)],[c_41664,c_80051]) ).
tcf(c_139748,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_41665,c_80051]) ).
tcf(c_139749,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0))))),
inference(superposition,[status(thm)],[c_42558,c_80051]) ).
tcf(c_139750,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_42773,c_80051]) ).
tcf(c_139753,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_82357,c_80051]) ).
tcf(c_139754,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_80016,c_80051]) ).
tcf(c_139755,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_82342,c_80051]) ).
tcf(c_139756,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),X0)),
inference(superposition,[status(thm)],[c_85548,c_80051]) ).
tcf(c_139757,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_80024,c_80051]) ).
tcf(c_139758,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0))),
inference(superposition,[status(thm)],[c_83425,c_80051]) ).
tcf(c_139759,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_83410,c_80051]) ).
tcf(c_139760,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_87146,c_80051]) ).
tcf(c_139764,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(X1,X0),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1853,c_80051]) ).
tcf(c_139783,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),X1) ),
inference(superposition,[status(thm)],[c_50489,c_80051]) ).
tcf(c_139786,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)
| ~ subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_50490,c_80051]) ).
tcf(c_139789,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9916,c_80051]) ).
tcf(c_139794,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10224,c_80051]) ).
tcf(c_141865,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_50490,c_94636]) ).
tcf(c_141866,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_7196,c_94636]) ).
tcf(c_141867,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_14933,c_94636]) ).
tcf(c_141868,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_94636]) ).
tcf(c_141869,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_15666,c_94636]) ).
tcf(c_141914,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50489,c_94636]) ).
tcf(c_141917,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_50490,c_94636]) ).
tcf(c_141920,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_9916,c_94636]) ).
tcf(c_141922,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),X0),
inference(superposition,[status(thm)],[c_9922,c_94636]) ).
tcf(c_141924,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),X0),
inference(superposition,[status(thm)],[c_14933,c_94636]) ).
tcf(c_141925,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_10224,c_94636]) ).
tcf(c_141928,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),X0),
inference(superposition,[status(thm)],[c_9923,c_94636]) ).
tcf(c_141929,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),X0),
inference(superposition,[status(thm)],[c_15666,c_94636]) ).
tcf(c_141931,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)),X0),
inference(superposition,[status(thm)],[c_42341,c_94636]) ).
tcf(c_141934,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_94636,c_73138]) ).
tcf(c_141935,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_94636,c_25313]) ).
tcf(c_141936,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_94636,c_24797]) ).
tcf(c_141937,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_94636,c_18222]) ).
tcf(c_141938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X2),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_94636,c_2431]) ).
tcf(c_141939,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_94636,c_9331]) ).
tcf(c_141940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),X2)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_94636,c_1852]) ).
tcf(c_141941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X3)
| in(sK5(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_94636,c_1228]) ).
tcf(c_141942,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_94636,c_2426]) ).
tcf(c_141943,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_94636,c_1847]) ).
tcf(c_141944,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_94636,c_46220]) ).
tcf(c_141945,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0)))) ),
inference(superposition,[status(thm)],[c_94636,c_41243]) ).
tcf(c_142349,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_96292]) ).
tcf(c_142350,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_7196,c_96292]) ).
tcf(c_142351,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),
inference(superposition,[status(thm)],[c_14933,c_96292]) ).
tcf(c_142352,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_96292]) ).
tcf(c_142353,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_15666,c_96292]) ).
tcf(c_142367,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_96292]) ).
tcf(c_142370,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50490,c_96292]) ).
tcf(c_142384,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_42341,c_96292]) ).
tcf(c_142385,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_96292,c_46222]) ).
tcf(c_142387,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_96292,c_73138]) ).
tcf(c_142388,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_96292,c_25313]) ).
tcf(c_142389,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_96292,c_24797]) ).
tcf(c_142390,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_96292,c_18222]) ).
tcf(c_142391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_96292,c_2431]) ).
tcf(c_142392,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_96292,c_9331]) ).
tcf(c_142393,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_96292,c_1852]) ).
tcf(c_142394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),X2) ),
inference(superposition,[status(thm)],[c_96292,c_1228]) ).
tcf(c_142398,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_96292,c_41243]) ).
tcf(c_142410,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_96292,c_40226]) ).
tcf(c_142412,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X1),X0)))),
inference(superposition,[status(thm)],[c_96292,c_41239]) ).
tcf(c_142413,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_96292,c_41241]) ).
tcf(c_142414,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)))),
inference(superposition,[status(thm)],[c_96292,c_80051]) ).
tcf(c_142415,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_96292,c_41240]) ).
tcf(c_142416,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_96292,c_41242]) ).
tcf(c_143249,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139713,c_46222]) ).
tcf(c_143251,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_139713,c_73138]) ).
tcf(c_143252,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_139713,c_25313]) ).
tcf(c_143253,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139713,c_24797]) ).
tcf(c_143254,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139713,c_18222]) ).
tcf(c_143255,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139713,c_2431]) ).
tcf(c_143256,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139713,c_9331]) ).
tcf(c_143257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139713,c_1852]) ).
tcf(c_143258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139713,c_1228]) ).
tcf(c_143259,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_139713,c_2426]) ).
tcf(c_143260,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139713,c_1847]) ).
tcf(c_143272,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_139713,c_80051]) ).
tcf(c_143334,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),
inference(superposition,[status(thm)],[c_50489,c_139700]) ).
tcf(c_143337,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_50490,c_139700]) ).
tcf(c_143367,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_2250,c_139700]) ).
tcf(c_143371,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11507,c_139700]) ).
tcf(c_143374,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_139700]) ).
tcf(c_143377,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_139700]) ).
tcf(c_143381,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_14934,c_139700]) ).
tcf(c_143383,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_14932,c_139700]) ).
tcf(c_143386,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_15667,c_139700]) ).
tcf(c_143387,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_15665,c_139700]) ).
tcf(c_143390,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_42340,c_139700]) ).
tcf(c_143392,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139700,c_46222]) ).
tcf(c_143393,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X1) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139700,c_52]) ).
tcf(c_143394,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_139700,c_73138]) ).
tcf(c_143395,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_139700,c_25313]) ).
tcf(c_143396,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139700,c_24797]) ).
tcf(c_143397,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139700,c_18222]) ).
tcf(c_143398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139700,c_2431]) ).
tcf(c_143399,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139700,c_9331]) ).
tcf(c_143400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139700,c_1852]) ).
tcf(c_143401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_139700,c_1228]) ).
tcf(c_143402,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_139700,c_2426]) ).
tcf(c_143403,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139700,c_1847]) ).
tcf(c_143404,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_139700,c_46220]) ).
tcf(c_143405,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_139700,c_41243]) ).
tcf(c_143406,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X1) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139700,c_40234]) ).
tcf(c_143421,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_139700,c_80051]) ).
tcf(c_144000,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_50489,c_143272]) ).
tcf(c_144003,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_143272]) ).
tcf(c_144030,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_1851,c_143272]) ).
tcf(c_144031,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_1853,c_143272]) ).
tcf(c_144040,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_143272]) ).
tcf(c_144041,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_5138,c_143272]) ).
tcf(c_144043,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_143272]) ).
tcf(c_144044,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),
inference(superposition,[status(thm)],[c_7196,c_143272]) ).
tcf(c_144046,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_143272]) ).
tcf(c_144048,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),
inference(superposition,[status(thm)],[c_9922,c_143272]) ).
tcf(c_144050,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),
inference(superposition,[status(thm)],[c_14933,c_143272]) ).
tcf(c_144051,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_143272]) ).
tcf(c_144054,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),
inference(superposition,[status(thm)],[c_9923,c_143272]) ).
tcf(c_144055,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_15666,c_143272]) ).
tcf(c_144057,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)),
inference(superposition,[status(thm)],[c_42341,c_143272]) ).
tcf(c_144058,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_143272,c_46222]) ).
tcf(c_144059,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X1,X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_143272,c_52]) ).
tcf(c_144060,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_143272,c_73138]) ).
tcf(c_144061,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_143272,c_25313]) ).
tcf(c_144062,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_143272,c_24797]) ).
tcf(c_144063,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_143272,c_18222]) ).
tcf(c_144064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_143272,c_2431]) ).
tcf(c_144065,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_143272,c_9331]) ).
tcf(c_144066,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_143272,c_1852]) ).
tcf(c_144067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_143272,c_1228]) ).
tcf(c_144068,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_143272,c_2426]) ).
tcf(c_144069,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_143272,c_1847]) ).
tcf(c_144071,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_143272,c_41243]) ).
tcf(c_144087,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_143272,c_80051]) ).
tcf(c_146115,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_1853,c_139714]) ).
tcf(c_146117,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),X1)),
inference(superposition,[status(thm)],[c_2250,c_139714]) ).
tcf(c_146124,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0)),
inference(superposition,[status(thm)],[c_50489,c_139714]) ).
tcf(c_146127,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_50490,c_139714]) ).
tcf(c_146130,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_139714]) ).
tcf(c_146131,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_14934,c_139714]) ).
tcf(c_146132,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0),X0)),
inference(superposition,[status(thm)],[c_9922,c_139714]) ).
tcf(c_146133,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14932,c_139714]) ).
tcf(c_146134,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_14933,c_139714]) ).
tcf(c_146135,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_139714]) ).
tcf(c_146136,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_15667,c_139714]) ).
tcf(c_146137,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15665,c_139714]) ).
tcf(c_146138,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0),X0)),
inference(superposition,[status(thm)],[c_9923,c_139714]) ).
tcf(c_146139,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_15666,c_139714]) ).
tcf(c_146140,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42340,c_139714]) ).
tcf(c_146141,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0),X0)),
inference(superposition,[status(thm)],[c_42341,c_139714]) ).
tcf(c_146147,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)),
inference(superposition,[status(thm)],[c_51,c_139714]) ).
tcf(c_146161,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_2036,c_139714]) ).
tcf(c_146162,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_2250,c_139714]) ).
tcf(c_146166,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11507,c_139714]) ).
tcf(c_146168,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_5147,c_139714]) ).
tcf(c_146169,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_139714]) ).
tcf(c_146171,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_7219,c_139714]) ).
tcf(c_146172,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_139714]) ).
tcf(c_146176,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_14934,c_139714]) ).
tcf(c_146178,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_14932,c_139714]) ).
tcf(c_146181,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15667,c_139714]) ).
tcf(c_146182,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_15665,c_139714]) ).
tcf(c_146185,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_42340,c_139714]) ).
tcf(c_146187,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139714,c_46222]) ).
tcf(c_146188,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139714,c_52]) ).
tcf(c_146189,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_139714,c_73138]) ).
tcf(c_146190,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_139714,c_25313]) ).
tcf(c_146191,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139714,c_24797]) ).
tcf(c_146192,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139714,c_18222]) ).
tcf(c_146193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139714,c_2431]) ).
tcf(c_146194,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139714,c_9331]) ).
tcf(c_146195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139714,c_1852]) ).
tcf(c_146196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_139714,c_1228]) ).
tcf(c_146197,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_139714,c_2426]) ).
tcf(c_146198,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139714,c_1847]) ).
tcf(c_146199,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_139714,c_46220]) ).
tcf(c_146200,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X0),X0),X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_139714,c_41243]) ).
tcf(c_146201,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139714,c_40234]) ).
tcf(c_146209,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_139714,c_80051]) ).
tcf(c_149125,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_1853,c_139722]) ).
tcf(c_149127,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(set_intersection2(X0,X1),X1),X1))),
inference(superposition,[status(thm)],[c_2250,c_139722]) ).
tcf(c_149134,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0))),
inference(superposition,[status(thm)],[c_50489,c_139722]) ).
tcf(c_149137,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_139722]) ).
tcf(c_149140,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_9916,c_139722]) ).
tcf(c_149141,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_14934,c_139722]) ).
tcf(c_149142,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),X0))),
inference(superposition,[status(thm)],[c_9922,c_139722]) ).
tcf(c_149143,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_14932,c_139722]) ).
tcf(c_149144,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),X0))),
inference(superposition,[status(thm)],[c_14933,c_139722]) ).
tcf(c_149145,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10224,c_139722]) ).
tcf(c_149146,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))))),
inference(superposition,[status(thm)],[c_15667,c_139722]) ).
tcf(c_149147,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_15665,c_139722]) ).
tcf(c_149148,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),X0))),
inference(superposition,[status(thm)],[c_9923,c_139722]) ).
tcf(c_149149,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),X0))),
inference(superposition,[status(thm)],[c_15666,c_139722]) ).
tcf(c_149150,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_42340,c_139722]) ).
tcf(c_149151,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),X0))),
inference(superposition,[status(thm)],[c_42341,c_139722]) ).
tcf(c_149156,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_51,c_139722]) ).
tcf(c_149170,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_2036,c_139722]) ).
tcf(c_149171,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_2250,c_139722]) ).
tcf(c_149175,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_11507,c_139722]) ).
tcf(c_149178,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_50489,c_139722]) ).
tcf(c_149180,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_7219,c_139722]) ).
tcf(c_149181,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_50490,c_139722]) ).
tcf(c_149185,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_14934,c_139722]) ).
tcf(c_149187,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_14932,c_139722]) ).
tcf(c_149190,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15667,c_139722]) ).
tcf(c_149191,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_15665,c_139722]) ).
tcf(c_149194,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_42340,c_139722]) ).
tcf(c_149196,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_139722,c_46222]) ).
tcf(c_149197,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_139722,c_52]) ).
tcf(c_149198,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_139722,c_73138]) ).
tcf(c_149199,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139722,c_25313]) ).
tcf(c_149200,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139722,c_24797]) ).
tcf(c_149201,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139722,c_18222]) ).
tcf(c_149202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139722,c_2431]) ).
tcf(c_149203,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139722,c_9331]) ).
tcf(c_149204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_139722,c_1852]) ).
tcf(c_149205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_139722,c_1228]) ).
tcf(c_149206,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139722,c_2426]) ).
tcf(c_149207,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X1,X0),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_139722,c_1847]) ).
tcf(c_149209,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_139722,c_41243]) ).
tcf(c_149218,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_139722,c_80051]) ).
tcf(c_149889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),set_intersection2(X2,X3))
| ~ subset(set_intersection2(X0,X1),X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_77,c_139764]) ).
tcf(c_149891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),set_intersection2(X3,X2))
| ~ subset(set_intersection2(X0,X1),X3)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1405,c_139764]) ).
tcf(c_149897,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_5158,c_139764]) ).
tcf(c_149898,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_7231,c_139764]) ).
tcf(c_149900,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_10926,c_139764]) ).
tcf(c_149901,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_16904,c_139764]) ).
tcf(c_149905,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_10928,c_139764]) ).
tcf(c_149907,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_16906,c_139764]) ).
tcf(c_149908,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_41680,c_139764]) ).
tcf(c_149910,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X1)),
inference(superposition,[status(thm)],[c_10260,c_139764]) ).
tcf(c_149913,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_10930,c_139764]) ).
tcf(c_149914,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_38212,c_139764]) ).
tcf(c_149915,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_48412,c_139764]) ).
tcf(c_149916,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42363,c_139764]) ).
tcf(c_149917,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_49959,c_139764]) ).
tcf(c_149918,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_68424,c_139764]) ).
tcf(c_149919,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_10910,c_139764]) ).
tcf(c_149922,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_37853,c_139764]) ).
tcf(c_149924,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_48829,c_139764]) ).
tcf(c_149928,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),X1))),
inference(superposition,[status(thm)],[c_76260,c_139764]) ).
tcf(c_149931,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0))),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_38783,c_139764]) ).
tcf(c_149933,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_52236,c_139764]) ).
tcf(c_149935,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_70008,c_139764]) ).
tcf(c_149943,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_79369,c_139764]) ).
tcf(c_149952,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42561,c_139764]) ).
tcf(c_149953,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_42775,c_139764]) ).
tcf(c_149954,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_42557,c_139764]) ).
tcf(c_149955,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_42770,c_139764]) ).
tcf(c_149960,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_16907,c_139764]) ).
tcf(c_149961,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_18048,c_139764]) ).
tcf(c_149971,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_41664,c_139764]) ).
tcf(c_149972,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_41665,c_139764]) ).
tcf(c_149973,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42558,c_139764]) ).
tcf(c_149974,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_42773,c_139764]) ).
tcf(c_149988,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),X1)),
inference(superposition,[status(thm)],[c_80016,c_139764]) ).
tcf(c_149989,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),X1)),
inference(superposition,[status(thm)],[c_82342,c_139764]) ).
tcf(c_149991,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(set_intersection2(X1,X0),X1))),
inference(superposition,[status(thm)],[c_80024,c_139764]) ).
tcf(c_149993,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_83410,c_139764]) ).
tcf(c_150003,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(set_intersection2(set_intersection2(X0,X1),X1),X2)
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2250,c_139764]) ).
tcf(c_150007,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,X0),X0),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_11507,c_139764]) ).
tcf(c_150010,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_50489,c_139764]) ).
tcf(c_150013,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)
| ~ subset(set_intersection2(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_50490,c_139764]) ).
tcf(c_150017,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14934,c_139764]) ).
tcf(c_150019,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_14932,c_139764]) ).
tcf(c_150022,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15667,c_139764]) ).
tcf(c_150023,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_15665,c_139764]) ).
tcf(c_150026,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_42340,c_139764]) ).
tcf(c_150616,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_149910]) ).
tcf(c_150619,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_149910]) ).
tcf(c_150647,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_1853,c_149910]) ).
tcf(c_150648,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)),
inference(superposition,[status(thm)],[c_2036,c_149910]) ).
tcf(c_150649,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(set_intersection2(X0,X1),X1)),
inference(superposition,[status(thm)],[c_2250,c_149910]) ).
tcf(c_150651,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11508,c_149910]) ).
tcf(c_150655,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_5147,c_149910]) ).
tcf(c_150656,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),X0)),
inference(superposition,[status(thm)],[c_50489,c_149910]) ).
tcf(c_150658,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_7219,c_149910]) ).
tcf(c_150662,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_149910]) ).
tcf(c_150663,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0)))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_14934,c_149910]) ).
tcf(c_150664,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_9922,c_149910]) ).
tcf(c_150665,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14932,c_149910]) ).
tcf(c_150666,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_14933,c_149910]) ).
tcf(c_150667,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_149910]) ).
tcf(c_150668,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_15667,c_149910]) ).
tcf(c_150669,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15665,c_149910]) ).
tcf(c_150670,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_9923,c_149910]) ).
tcf(c_150671,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_15666,c_149910]) ).
tcf(c_150672,plain,
! [X0: $i] : subset(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42340,c_149910]) ).
tcf(c_150673,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(X0,X0)),
inference(superposition,[status(thm)],[c_42341,c_149910]) ).
tcf(c_150674,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149910,c_46222]) ).
tcf(c_150675,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149910,c_52]) ).
tcf(c_150676,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X1)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_149910,c_73138]) ).
tcf(c_150677,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_149910,c_25313]) ).
tcf(c_150678,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149910,c_24797]) ).
tcf(c_150679,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149910,c_18222]) ).
tcf(c_150680,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_149910,c_2431]) ).
tcf(c_150681,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149910,c_9331]) ).
tcf(c_150682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),X1),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_149910,c_1852]) ).
tcf(c_150683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,X1),X0),X2) ),
inference(superposition,[status(thm)],[c_149910,c_1228]) ).
tcf(c_150684,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_149910,c_2426]) ).
tcf(c_150685,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149910,c_1847]) ).
tcf(c_150686,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149910,c_46220]) ).
tcf(c_150687,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149910,c_41243]) ).
tcf(c_150688,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149910,c_40234]) ).
tcf(c_151328,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_50489,c_149919]) ).
tcf(c_151331,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_149919]) ).
tcf(c_151371,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_149919]) ).
tcf(c_151386,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149919,c_46222]) ).
tcf(c_151387,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149919,c_52]) ).
tcf(c_151388,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,X0))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_149919,c_73138]) ).
tcf(c_151389,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X1,X0)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_149919,c_25313]) ).
tcf(c_151390,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149919,c_24797]) ).
tcf(c_151391,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,X0))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149919,c_18222]) ).
tcf(c_151392,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_149919,c_2431]) ).
tcf(c_151393,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,X0)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149919,c_9331]) ).
tcf(c_151394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(X1,X0)),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_149919,c_1852]) ).
tcf(c_151395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X1,X0),X3)
| in(sK5(set_intersection2(X1,X0),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_149919,c_1228]) ).
tcf(c_151396,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X1,X0)) = set_intersection2(X1,X0),
inference(superposition,[status(thm)],[c_149919,c_2426]) ).
tcf(c_151397,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149919,c_1847]) ).
tcf(c_151399,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,X0)) ),
inference(superposition,[status(thm)],[c_149919,c_41243]) ).
tcf(c_151634,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11508,c_144030]) ).
tcf(c_151650,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_144030]) ).
tcf(c_151662,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_144030,c_18222]) ).
tcf(c_151663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X2),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_144030,c_2431]) ).
tcf(c_151664,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_144030,c_9331]) ).
tcf(c_151665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X2)) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_144030,c_1852]) ).
tcf(c_151666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,set_intersection2(X0,X1)),X3)
| in(sK5(set_intersection2(X0,set_intersection2(X0,X1)),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_144030,c_1228]) ).
tcf(c_151667,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X0,set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_144030,c_2426]) ).
tcf(c_151669,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_144030,c_46220]) ).
tcf(c_151672,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_144030,c_139764]) ).
tcf(c_151766,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50489,c_144031]) ).
tcf(c_151769,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_50490,c_144031]) ).
tcf(c_151789,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_144031,c_18222]) ).
tcf(c_151790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X2),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,set_intersection2(X1,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_144031,c_2431]) ).
tcf(c_151791,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_144031,c_9331]) ).
tcf(c_151792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X2)) = set_intersection2(X0,set_intersection2(X1,X0)) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_144031,c_1852]) ).
tcf(c_151793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,set_intersection2(X1,X0)),X3)
| in(sK5(set_intersection2(X0,set_intersection2(X1,X0)),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_144031,c_1228]) ).
tcf(c_151794,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,set_intersection2(X1,X0)),
inference(superposition,[status(thm)],[c_144031,c_2426]) ).
tcf(c_151796,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X1) = set_intersection2(X1,set_intersection2(X0,X1)) )
| ~ subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_144031,c_46220]) ).
tcf(c_151799,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,X1),X1),set_intersection2(X1,set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_144031,c_139764]) ).
tcf(c_151835,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_1853,c_146147]) ).
tcf(c_151837,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)),X1)),
inference(superposition,[status(thm)],[c_2250,c_146147]) ).
tcf(c_151839,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,X0))),
inference(superposition,[status(thm)],[c_11508,c_146147]) ).
tcf(c_151841,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),
inference(superposition,[status(thm)],[c_11507,c_146147]) ).
tcf(c_151844,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)),X0)),
inference(superposition,[status(thm)],[c_50489,c_146147]) ).
tcf(c_151847,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)),X0)),
inference(superposition,[status(thm)],[c_50490,c_146147]) ).
tcf(c_151850,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_9916,c_146147]) ).
tcf(c_151851,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_14934,c_146147]) ).
tcf(c_151852,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)),X0)),
inference(superposition,[status(thm)],[c_9922,c_146147]) ).
tcf(c_151853,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14932,c_146147]) ).
tcf(c_151854,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)),X0)),
inference(superposition,[status(thm)],[c_14933,c_146147]) ).
tcf(c_151855,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1))),
inference(superposition,[status(thm)],[c_10224,c_146147]) ).
tcf(c_151856,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_15667,c_146147]) ).
tcf(c_151857,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15665,c_146147]) ).
tcf(c_151858,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)),X0)),
inference(superposition,[status(thm)],[c_9923,c_146147]) ).
tcf(c_151859,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)),X0)),
inference(superposition,[status(thm)],[c_15666,c_146147]) ).
tcf(c_151860,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42340,c_146147]) ).
tcf(c_151861,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)),X0)),
inference(superposition,[status(thm)],[c_42341,c_146147]) ).
tcf(c_151879,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),X0)),
inference(superposition,[status(thm)],[c_1851,c_146147]) ).
tcf(c_151880,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)),
inference(superposition,[status(thm)],[c_1853,c_146147]) ).
tcf(c_151889,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_146147]) ).
tcf(c_151890,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_5138,c_146147]) ).
tcf(c_151892,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_50490,c_146147]) ).
tcf(c_151893,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(X0,X0),X0))),
inference(superposition,[status(thm)],[c_7196,c_146147]) ).
tcf(c_151895,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),X0))),
inference(superposition,[status(thm)],[c_9916,c_146147]) ).
tcf(c_151897,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_9922,c_146147]) ).
tcf(c_151899,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_14933,c_146147]) ).
tcf(c_151900,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10224,c_146147]) ).
tcf(c_151903,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_9923,c_146147]) ).
tcf(c_151904,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_15666,c_146147]) ).
tcf(c_151906,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_42341,c_146147]) ).
tcf(c_151907,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_146147,c_46222]) ).
tcf(c_151908,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_146147,c_52]) ).
tcf(c_151909,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_146147,c_73138]) ).
tcf(c_151910,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_146147,c_25313]) ).
tcf(c_151911,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_146147,c_24797]) ).
tcf(c_151912,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_146147,c_18222]) ).
tcf(c_151913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_146147,c_2431]) ).
tcf(c_151914,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_146147,c_9331]) ).
tcf(c_151915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_146147,c_1852]) ).
tcf(c_151916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),X2) ),
inference(superposition,[status(thm)],[c_146147,c_1228]) ).
tcf(c_151917,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_146147,c_2426]) ).
tcf(c_151918,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_146147,c_1847]) ).
tcf(c_151919,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_146147,c_46220]) ).
tcf(c_151920,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = set_intersection2(X0,X1) )
| ~ subset(X0,set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_146147,c_41243]) ).
tcf(c_151921,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_146147,c_40234]) ).
tcf(c_151930,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X1,X0))),
inference(superposition,[status(thm)],[c_146147,c_80051]) ).
tcf(c_153478,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_1853,c_149156]) ).
tcf(c_153480,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X1,set_intersection2(set_intersection2(X0,X1),X1)))),
inference(superposition,[status(thm)],[c_2250,c_149156]) ).
tcf(c_153482,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,X0))))),
inference(superposition,[status(thm)],[c_11508,c_149156]) ).
tcf(c_153484,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))),
inference(superposition,[status(thm)],[c_11507,c_149156]) ).
tcf(c_153487,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_50489,c_149156]) ).
tcf(c_153490,plain,
! [X0: $i] : subset(set_intersection2(X0,X0),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0)))),
inference(superposition,[status(thm)],[c_50490,c_149156]) ).
tcf(c_153493,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_9916,c_149156]) ).
tcf(c_153494,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))))))),
inference(superposition,[status(thm)],[c_14934,c_149156]) ).
tcf(c_153495,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0)))),
inference(superposition,[status(thm)],[c_9922,c_149156]) ).
tcf(c_153496,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))))),
inference(superposition,[status(thm)],[c_14932,c_149156]) ).
tcf(c_153497,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0)))),
inference(superposition,[status(thm)],[c_14933,c_149156]) ).
tcf(c_153498,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))))),
inference(superposition,[status(thm)],[c_10224,c_149156]) ).
tcf(c_153499,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)))))),
inference(superposition,[status(thm)],[c_15667,c_149156]) ).
tcf(c_153500,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))))),
inference(superposition,[status(thm)],[c_15665,c_149156]) ).
tcf(c_153501,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0)))),
inference(superposition,[status(thm)],[c_9923,c_149156]) ).
tcf(c_153502,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0)))),
inference(superposition,[status(thm)],[c_15666,c_149156]) ).
tcf(c_153503,plain,
! [X0: $i] : subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)))))),
inference(superposition,[status(thm)],[c_42340,c_149156]) ).
tcf(c_153504,plain,
! [X0: $i] : subset(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0)))),
inference(superposition,[status(thm)],[c_42341,c_149156]) ).
tcf(c_153521,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_1851,c_149156]) ).
tcf(c_153522,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_1853,c_149156]) ).
tcf(c_153531,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50489,c_149156]) ).
tcf(c_153532,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_5138,c_149156]) ).
tcf(c_153534,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)))),
inference(superposition,[status(thm)],[c_50490,c_149156]) ).
tcf(c_153535,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0))),
inference(superposition,[status(thm)],[c_7196,c_149156]) ).
tcf(c_153537,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_9916,c_149156]) ).
tcf(c_153539,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,X0))),X0))),
inference(superposition,[status(thm)],[c_9922,c_149156]) ).
tcf(c_153541,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X0))),
inference(superposition,[status(thm)],[c_14933,c_149156]) ).
tcf(c_153542,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)))),
inference(superposition,[status(thm)],[c_10224,c_149156]) ).
tcf(c_153545,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),set_intersection2(set_intersection2(X0,set_intersection2(set_intersection2(X0,X0),X0)),X0))),
inference(superposition,[status(thm)],[c_9923,c_149156]) ).
tcf(c_153546,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X0))),
inference(superposition,[status(thm)],[c_15666,c_149156]) ).
tcf(c_153548,plain,
! [X0: $i] : subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),set_intersection2(set_intersection2(set_intersection2(X0,X0),set_intersection2(X0,X0)),X0))),
inference(superposition,[status(thm)],[c_42341,c_149156]) ).
tcf(c_153549,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_149156,c_46222]) ).
tcf(c_153550,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_149156,c_52]) ).
tcf(c_153551,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),
inference(superposition,[status(thm)],[c_149156,c_73138]) ).
tcf(c_153552,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149156,c_25313]) ).
tcf(c_153553,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,X1))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149156,c_24797]) ).
tcf(c_153554,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149156,c_18222]) ).
tcf(c_153555,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),X2),set_intersection2(X0,X1)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_149156,c_2431]) ).
tcf(c_153556,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149156,c_9331]) ).
tcf(c_153557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),X2)) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_149156,c_1852]) ).
tcf(c_153558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),X3)
| in(sK5(set_intersection2(X0,X1),X3),X2)
| ~ subset(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),X2) ),
inference(superposition,[status(thm)],[c_149156,c_1228]) ).
tcf(c_153559,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,X1)) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149156,c_2426]) ).
tcf(c_153560,plain,
! [X0: $i,X1: $i] : set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0)))) = set_intersection2(X0,X1),
inference(superposition,[status(thm)],[c_149156,c_1847]) ).
tcf(c_153562,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))) = set_intersection2(X0,X1) )
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,X1)) ),
inference(superposition,[status(thm)],[c_149156,c_41243]) ).
tcf(c_153572,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X1,X0),set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_149156,c_80051]) ).
tcf(c_155812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),set_intersection2(X2,X3))
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X3)
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_77,c_97628]) ).
tcf(c_155814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(set_intersection2(X0,X1),set_intersection2(X3,X2))
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X3)
| ~ subset(set_intersection2(X0,set_intersection2(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_1405,c_97628]) ).
tcf(c_155818,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_5158,c_97628]) ).
tcf(c_155819,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_7231,c_97628]) ).
tcf(c_155820,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_10926,c_97628]) ).
tcf(c_155821,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_16904,c_97628]) ).
tcf(c_155823,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_10928,c_97628]) ).
tcf(c_155824,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_16906,c_97628]) ).
tcf(c_155825,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_41680,c_97628]) ).
tcf(c_155828,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_10930,c_97628]) ).
tcf(c_155829,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))))),
inference(superposition,[status(thm)],[c_38212,c_97628]) ).
tcf(c_155830,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_48412,c_97628]) ).
tcf(c_155831,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_42363,c_97628]) ).
tcf(c_155832,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_49959,c_97628]) ).
tcf(c_155833,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_68424,c_97628]) ).
tcf(c_155836,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_37853,c_97628]) ).
tcf(c_155837,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_48829,c_97628]) ).
tcf(c_155839,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0))),
inference(superposition,[status(thm)],[c_76260,c_97628]) ).
tcf(c_155841,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_38783,c_97628]) ).
tcf(c_155842,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_52236,c_97628]) ).
tcf(c_155843,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_70008,c_97628]) ).
tcf(c_155847,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_79369,c_97628]) ).
tcf(c_155849,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_96292,c_97628]) ).
tcf(c_155851,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_42561,c_97628]) ).
tcf(c_155852,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42775,c_97628]) ).
tcf(c_155853,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42557,c_97628]) ).
tcf(c_155854,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42770,c_97628]) ).
tcf(c_155857,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_16907,c_97628]) ).
tcf(c_155858,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_18048,c_97628]) ).
tcf(c_155859,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X1,X0),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0)))),
inference(superposition,[status(thm)],[c_79412,c_97628]) ).
tcf(c_155865,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_41664,c_97628]) ).
tcf(c_155866,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_41665,c_97628]) ).
tcf(c_155867,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0)))))),
inference(superposition,[status(thm)],[c_42558,c_97628]) ).
tcf(c_155868,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),set_intersection2(X0,set_intersection2(X1,X0))),set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_42773,c_97628]) ).
tcf(c_155876,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0),X0)),
inference(superposition,[status(thm)],[c_80016,c_97628]) ).
tcf(c_155877,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))),X0)),
inference(superposition,[status(thm)],[c_82342,c_97628]) ).
tcf(c_155879,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(set_intersection2(X0,set_intersection2(X1,X0)),X0))),
inference(superposition,[status(thm)],[c_80024,c_97628]) ).
tcf(c_155881,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,set_intersection2(X0,set_intersection2(X1,X0))))),
inference(superposition,[status(thm)],[c_83410,c_97628]) ).
tcf(c_155909,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),X0),X1)
| ~ subset(set_intersection2(set_intersection2(X0,set_intersection2(X0,X0)),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50489,c_97628]) ).
tcf(c_155912,plain,
! [X0: $i,X1: $i] :
( subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),X0),X1)
| ~ subset(set_intersection2(set_intersection2(set_intersection2(X0,X0),X0),set_intersection2(X0,X0)),X1) ),
inference(superposition,[status(thm)],[c_50490,c_97628]) ).
tcf(c_186731,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X2) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_76,c_70899]) ).
tcf(c_186733,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X2)) = set_intersection2(X2,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X2))) ),
inference(superposition,[status(thm)],[c_1051,c_70899]) ).
tcf(c_186738,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X0,X0) = set_intersection2(X2,X1) )
| ~ subset(X1,set_intersection2(X0,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40224,c_70899]) ).
tcf(c_186739,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_10915,c_70899]) ).
tcf(c_186742,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_14238,c_70899]) ).
tcf(c_186745,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))))) ),
inference(superposition,[status(thm)],[c_15859,c_70899]) ).
tcf(c_186746,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17748,c_70899]) ).
tcf(c_186747,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_15861,c_70899]) ).
tcf(c_186749,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17750,c_70899]) ).
tcf(c_186752,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_13472,c_70899]) ).
tcf(c_186754,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X1) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_15855,c_70899]) ).
tcf(c_186766,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_37840,c_70899]) ).
tcf(c_186768,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_48816,c_70899]) ).
tcf(c_186769,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_15863,c_70899]) ).
tcf(c_186770,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X0,set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_15828,c_70899]) ).
tcf(c_186772,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))))) ),
inference(superposition,[status(thm)],[c_37898,c_70899]) ).
tcf(c_186773,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_48409,c_70899]) ).
tcf(c_186775,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_38770,c_70899]) ).
tcf(c_186777,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_52222,c_70899]) ).
tcf(c_186779,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_69994,c_70899]) ).
tcf(c_186780,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(X1,set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(X1,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17157,c_70899]) ).
tcf(c_186781,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),X0))) ),
inference(superposition,[status(thm)],[c_77488,c_70899]) ).
tcf(c_186782,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1))))) ),
inference(superposition,[status(thm)],[c_38819,c_70899]) ).
tcf(c_186783,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(X0,X1)),set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_49956,c_70899]) ).
tcf(c_186784,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1)),set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,X1))))) ),
inference(superposition,[status(thm)],[c_68421,c_70899]) ).
tcf(c_186785,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(X0,set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_78771,c_70899]) ).
tcf(c_186787,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1))) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,X1),set_intersection2(X1,set_intersection2(X0,X1)))) ),
inference(superposition,[status(thm)],[c_94636,c_70899]) ).
tcf(c_186799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(sK5(X1,set_intersection2(X0,X3)),X2)
| ( set_intersection2(X1,X1) = set_intersection2(X3,X0) )
| ~ subset(X1,X2)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_39618,c_70899]) ).
tcf(c_186801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(X1,set_intersection2(X1,X1)) = set_intersection2(X2,X0) )
| ~ subset(X1,set_intersection2(X0,X2))
| ~ subset(X0,set_intersection2(X1,set_intersection2(X1,X1))) ),
inference(superposition,[status(thm)],[c_80048,c_70899]) ).
tcf(c_186802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X1,X1),X1) = set_intersection2(X2,X0) )
| ~ subset(X1,set_intersection2(X0,X2))
| ~ subset(X0,set_intersection2(set_intersection2(X1,X1),X1)) ),
inference(superposition,[status(thm)],[c_97637,c_70899]) ).
tcf(c_186807,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_17751,c_70899]) ).
tcf(c_186808,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_18038,c_70899]) ).
tcf(c_186809,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = set_intersection2(X1,X0) )
| ~ subset(X0,set_intersection2(set_intersection2(X1,set_intersection2(X0,X1)),set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_78845,c_70899]) ).
tcf(c_186810,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X0,X1),X0) = set_intersection2(X0,set_intersection2(X0,X1)) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X0,X1))) ),
inference(superposition,[status(thm)],[c_144030,c_70899]) ).
tcf(c_186811,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,X0),X0) = set_intersection2(X0,set_intersection2(X1,X0)) )
| ~ subset(X0,set_intersection2(X0,set_intersection2(X1,X0))) ),
inference(superposition,[status(thm)],[c_144031,c_70899]) ).
tcf(c_186814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X0,X3) = set_intersection2(X2,X1) )
| ~ subset(X1,set_intersection2(X0,X3))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_39639,c_70899]) ).
tcf(c_186815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( set_intersection2(X2,X1) = set_intersection2(X3,X0) )
| ~ subset(X1,set_intersection2(X3,X0))
| ~ subset(X0,set_intersection2(X1,X2)) ),
inference(superposition,[status(thm)],[c_40220,c_70899]) ).
tcf(c_186859,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(X1,set_intersection2(X1,X1)),X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_50489,c_70899]) ).
tcf(c_186862,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X1,X1),X1),X1) = X0 )
| ~ subset(X1,X0)
| ~ subset(X0,set_intersection2(X1,X1)) ),
inference(superposition,[status(thm)],[c_50490,c_70899]) ).
tcf(c_186865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(set_intersection2(X0,X1),X0),set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_9916,c_70899]) ).
tcf(c_186870,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( set_intersection2(set_intersection2(X0,set_intersection2(X0,X1)),set_intersection2(X0,X1)) = X2 )
| ~ subset(X2,set_intersection2(X0,X1))
| ~ subset(set_intersection2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10224,c_70899]) ).
tcf(c_193321,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_155912,c_155909,c_155881,c_155879,c_155877,c_155876,c_155868,c_155867,c_155866,c_155865,c_155859,c_155858,c_155857,c_155854,c_155853,c_155852,c_155851,c_155849,c_155847,c_155843,c_155842,c_155841,c_155839,c_155837,c_155836,c_155833,c_155832,c_155831,c_155830,c_155829,c_155825,c_155824,c_155823,c_155821,c_155820,c_155819,c_155818,c_155828,c_155814,c_155812,c_153572,c_153562,c_153560,c_153559,c_153558,c_153557,c_153556,c_153555,c_153554,c_153553,c_153552,c_153551,c_153550,c_153549,c_153548,c_153546,c_153545,c_153542,c_153541,c_153539,c_153537,c_153535,c_153534,c_153532,c_153531,c_153522,c_153521,c_153503,c_153500,c_153499,c_153496,c_153494,c_153490,c_153487,c_153480,c_186807,c_151930,c_151921,c_151920,c_151919,c_151918,c_151917,c_151916,c_151915,c_151914,c_151913,c_151912,c_151911,c_151910,c_151909,c_151908,c_151907,c_151893,c_151892,c_151890,c_151889,c_151880,c_151860,c_151857,c_151856,c_151855,c_151853,c_151851,c_151837,c_151835,c_151399,c_151397,c_151396,c_151395,c_151394,c_151393,c_151392,c_151391,c_151390,c_151389,c_151388,c_151387,c_151386,c_151331,c_151328,c_150688,c_150687,c_150686,c_150685,c_150684,c_150683,c_150682,c_150681,c_150680,c_150679,c_150678,c_150677,c_150676,c_150675,c_150674,c_150647,c_150026,c_150023,c_150022,c_150019,c_150017,c_150013,c_150010,c_150003,c_149993,c_149991,c_149989,c_149988,c_149974,c_149973,c_149972,c_149971,c_149961,c_149960,c_149955,c_149954,c_149953,c_149952,c_149943,c_149935,c_149933,c_149931,c_149928,c_149924,c_149922,c_149919,c_149918,c_149917,c_149916,c_149915,c_149914,c_149910,c_149907,c_149905,c_149901,c_149900,c_149898,c_149897,c_149891,c_149218,c_149209,c_149207,c_149206,c_149205,c_149204,c_149203,c_149202,c_149201,c_149200,c_149199,c_149198,c_149197,c_149196,c_149181,c_149180,c_149178,c_149171,c_149156,c_149150,c_149147,c_149146,c_149143,c_149141,c_149127,c_186809,c_146209,c_146201,c_146200,c_146199,c_146198,c_146197,c_146196,c_146195,c_146194,c_146193,c_146192,c_146191,c_146190,c_146189,c_146188,c_146187,c_146172,c_146169,c_146162,c_146147,c_146140,c_146137,c_146136,c_146135,c_146133,c_146131,c_146117,c_186808,c_144087,c_144071,c_144069,c_144068,c_144067,c_144066,c_144065,c_144064,c_144063,c_144062,c_144061,c_144060,c_144059,c_144058,c_144043,c_144040,c_143421,c_143406,c_143405,c_143404,c_143403,c_143402,c_143401,c_143400,c_143399,c_143398,c_143397,c_143396,c_143395,c_143394,c_143393,c_143392,c_143377,c_143374,c_143367,c_143272,c_143251,c_143249,c_142416,c_142415,c_142414,c_142412,c_139794,c_139786,c_139783,c_139760,c_139759,c_139758,c_139757,c_139756,c_139755,c_139754,c_139753,c_139750,c_139749,c_139748,c_139747,c_139740,c_139739,c_139738,c_139736,c_139735,c_139734,c_139733,c_139731,c_139730,c_139728,c_139727,c_139726,c_139724,c_139723,c_139722,c_139721,c_139720,c_139719,c_139718,c_139717,c_139716,c_139714,c_139712,c_139710,c_139709,c_139707,c_139706,c_139705,c_139703,c_139702,c_139715,c_139699,c_139697,c_139700,c_139326,c_139325,c_139323,c_139321,c_139303,c_139302,c_139300,c_139298,c_139296,c_151371,c_149170,c_149175,c_150656,c_146168,c_146161,c_146166,c_139789,c_150662,c_151895,c_143371,c_150651,c_186815,c_186814,c_186811,c_186810,c_186802,c_186801,c_186799,c_186787,c_186785,c_186784,c_186783,c_186782,c_186781,c_186780,c_186779,c_186777,c_186775,c_186773,c_186772,c_186770,c_186768,c_186766,c_186754,c_186752,c_186749,c_186747,c_186746,c_186745,c_186742,c_186739,c_186738,c_186769,c_186733,c_186731,c_142387,c_141934,c_153498,c_186862,c_186859,c_105323,c_105322,c_105320,c_105318,c_105316,c_105177,c_105176,c_105175,c_105174,c_105169,c_105168,c_105167,c_105166,c_105165,c_105159,c_105158,c_105157,c_105154,c_105153,c_105149,c_105148,c_105147,c_105146,c_105145,c_105140,c_105139,c_105138,c_105137,c_105130,c_104137,c_104135,c_104133,c_104132,c_104129,c_104128,c_104127,c_104126,c_104123,c_104122,c_104121,c_104120,c_104119,c_104118,c_104117,c_104116,c_104115,c_104114,c_104113,c_104112,c_104111,c_104108,c_104107,c_104106,c_104105,c_104104,c_104099,c_104098,c_104096,c_104095,c_104094,c_104089,c_104087,c_103815,c_103813,c_103811,c_103810,c_103807,c_103806,c_103805,c_103804,c_103801,c_103800,c_103799,c_103798,c_103797,c_103796,c_103795,c_103794,c_103793,c_103792,c_103791,c_103790,c_103789,c_103786,c_103785,c_103784,c_103783,c_103782,c_103777,c_103776,c_103775,c_103773,c_103772,c_103767,c_103765,c_103018,c_103017,c_103016,c_103015,c_103014,c_103013,c_103012,c_103011,c_103006,c_103005,c_103004,c_103003,c_103002,c_103001,c_103000,c_102999,c_102998,c_102997,c_102996,c_102995,c_102045,c_102044,c_102043,c_102042,c_102041,c_102040,c_102039,c_102038,c_102033,c_102032,c_102031,c_102030,c_102029,c_102028,c_102027,c_102026,c_102025,c_102024,c_102023,c_102022,c_100918,c_100917,c_100916,c_100915,c_100914,c_100913,c_100912,c_100911,c_100909,c_100905,c_100904,c_100903,c_100902,c_100901,c_100900,c_100899,c_100898,c_100897,c_100896,c_99950,c_99949,c_99948,c_99947,c_99946,c_99945,c_99944,c_99943,c_99942,c_99941,c_99940,c_99937,c_99936,c_99935,c_99934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26490,c_26349,c_68866,c_50164,c_39199,c_18993,c_70091,c_52289,c_38835,c_48481,c_38309,c_18992,c_26226,c_48959,c_37912,c_20387,c_18986,c_22426,c_21011,c_22181,c_20600,c_18983,c_18980,c_76323,c_77582,c_38444,c_44612,c_44063,c_7923,c_7922,c_68871,c_69557,c_89654,c_94459,c_149908,c_149913,c_149889,c_139713,c_7689,c_42342,c_44609,c_44060,c_68421,c_41658,c_45210,c_44294,c_42770,c_44610,c_42557,c_44061,c_7223,c_45209,c_44293,c_42775,c_45212,c_42561,c_44296,c_68441,c_40223,c_40224,c_139764,c_50169,c_49956,c_51609,c_89651,c_94456,c_39204,c_38819,c_43167,c_89650,c_94455,c_25981,c_25980,c_23501,c_14705,c_23486,c_23411,c_22745,c_22744,c_12804,c_11508,c_18978,c_22730,c_22727,c_22728,c_22723,c_18991,c_13444,c_17756,c_18990,c_96292,c_94636,c_17176,c_18989,c_79369,c_78771,c_17748,c_17750,c_17752,c_77586,c_14238,c_17157,c_141931,c_141929,c_141928,c_94452,c_141924,c_94450,c_141922,c_94436,c_77488,c_15828,c_76327,c_70096,c_69994,c_70008,c_70202,c_142384,c_42334,c_52294,c_52222,c_52236,c_52445,c_104136,c_24819,c_4830,c_4829,c_4828,c_4827,c_38840,c_38770,c_38783,c_42379,c_99203,c_24817,c_48409,c_37898,c_15855,c_13472,c_89647,c_103814,c_89645,c_96671,c_89631,c_76260,c_15863,c_11507,c_48486,c_48672,c_48964,c_48816,c_48829,c_49238,c_24813,c_38314,c_38446,c_37917,c_37840,c_37853,c_38226,c_24812,c_10913,c_13473,c_20392,c_18988,c_10227,c_15868,c_4293,c_4292,c_4291,c_4290,c_18987,c_25337,c_15861,c_15859,c_10915,c_10914,c_10910,c_68424,c_49959,c_42363,c_48412,c_38212,c_10930,c_10922,c_3990,c_3989,c_3988,c_10263,c_10262,c_10260,c_3987,c_10251,c_10250,c_10243,c_10248,c_10247,c_10242,c_42337,c_21864,c_15660,c_21340,c_14927,c_100906,c_44617,c_44068,c_26092,c_18976,c_25320,c_7191,c_6310,c_6308,c_6307,c_6306,c_6305,c_6304,c_6303,c_6302,c_6301,c_6300,c_6299,c_6298,c_6297,c_6049,c_6048,c_6047,c_6046,c_70027,c_70026,c_68429,c_68428,c_42335,c_42333,c_99938,c_100907,c_99939,c_42332,c_3463,c_3462,c_3461,c_3460,c_68440,c_68439,c_41680,c_68435,c_68434,c_68427,c_68426,c_52255,c_52254,c_38802,c_38801,c_45218,c_44302,c_26091,c_44618,c_44069,c_42341,c_26094,c_45217,c_44301,c_42340,c_26090,c_49975,c_68349,c_48848,c_48428,c_37872,c_49887,c_7234,c_7708,c_49974,c_68348,c_48847,c_48427,c_37871,c_49886,c_7233,c_7707,c_21862,c_25335,c_16906,c_15666,c_18985,c_25333,c_10928,c_9923,c_18977,c_7217,c_7215,c_7222,c_7218,c_18972,c_25316,c_18974,c_25318,c_7221,c_7220,c_7224,c_21338,c_25329,c_18984,c_25328,c_7216,c_16904,c_10926,c_15665,c_14932,c_7219,c_14260,c_10937,c_14934,c_15667,c_14262,c_10246,c_7231,c_14933,c_7196,c_14261,c_24802,c_10224,c_24800,c_5658,c_5657,c_5144,c_5646,c_5641,c_5640,c_5147,c_9339,c_18232,c_9922,c_5161,c_5160,c_5158,c_5151,c_5150,c_5146,c_5145,c_5149,c_5148,c_5138,c_9920,c_9918,c_9917,c_9916,c_9915,c_25313,c_3196,c_3195,c_3194,c_3193,c_3192,c_3191,c_3190,c_3189,c_3188,c_3640,c_3865,c_2988,c_3639,c_3864,c_2716,c_3854,c_3992,c_4295,c_4832,c_3627,c_9338,c_18230,c_3637,c_3630,c_3993,c_4296,c_4833,c_3629,c_3628,c_3623,c_18228,c_18226,c_18225,c_18224,c_18223,c_18222,c_24797,c_9337,c_9335,c_9334,c_9333,c_9332,c_9331,c_4824,c_4821,c_4284,c_3455,c_3981,c_3991,c_3984,c_4287,c_3464,c_3459,c_3457,c_2990,c_2989,c_2987,c_2986,c_2985,c_2984,c_2983,c_2981,c_2718,c_2717,c_2715,c_2714,c_2713,c_2712,c_2711,c_2709,c_2664,c_2663,c_2661,c_2247,c_2243,c_2030,c_2242,c_2029,c_2037,c_2032,c_8473,c_8472,c_8471,c_8470,c_8467,c_8466,c_7927,c_7926,c_7925,c_7924,c_7921,c_7920,c_2433,c_2250,c_2431,c_2036,c_2429,c_2426,c_1854,c_1853,c_1852,c_1851,c_1850,c_1847,c_1732,c_1735,c_1733,c_1734,c_1739,c_1731,c_1710,c_1626,c_1625,c_1624,c_1623,c_1549,c_1548,c_1547,c_1546,c_1545,c_1410,c_1412,c_1408,c_1405,c_1396,c_1358,c_1231,c_1229,c_1228,c_1150,c_1149,c_1118,c_1117,c_1116,c_1115,c_1113,c_1064,c_1063,c_1051,c_214,c_213,c_212,c_211,c_210,c_209,c_77,c_76,c_75,c_74,c_73,c_72,c_69,c_68,c_67,c_65,c_64,c_63,c_61,c_60,c_57,c_56,c_70,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET970+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Thu Sep 24 12:31:39 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.43 Running first-order theorem proving
% 0.14/5.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.44
% 0.14/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 285.55/44.52 % SZS status Started for theBenchmark.p
% 285.55/44.52 % SZS status Theorem for theBenchmark.p
% 285.55/44.52
% 285.55/44.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 285.55/44.52
% 285.55/44.52 % ------ iProver source info
% 285.55/44.52
% 285.55/44.52 % git: date: 2026-07-19 20:42:38 +0200
% 285.55/44.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 285.55/44.52 % git: non_committed_changes: false
% 285.55/44.52
% 285.55/44.52 % ------ Parsing...
% 285.55/44.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 285.55/44.52
% 285.55/44.52 % ------ Preprocessing... sup_sim: 6 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 285.55/44.52
% 285.55/44.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 285.55/44.52
% 285.55/44.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 285.55/44.52 % ------ Proving...
% 285.55/44.52 % ------ Problem Properties
% 285.55/44.52
% 285.55/44.52 %
% 285.55/44.52 % clauses 27
% 285.55/44.52 % conjectures 1
% 285.55/44.52 % EPR 6
% 285.55/44.52 % Horn 23
% 285.55/44.52 % unary 9
% 285.55/44.52 % binary 9
% 285.55/44.52 % lits 56
% 285.55/44.52 % lits eq 13
% 285.55/44.52 % fd_pure 0
% 285.55/44.52 % fd_pseudo 0
% 285.55/44.52 % fd_cond 0
% 285.55/44.52 % fd_pseudo_cond 5
% 285.55/44.52 % AC symbols 0
% 285.55/44.52
% 285.55/44.52 % ------ Input Options Time Limit: Unbounded
% 285.55/44.52
% 285.55/44.52
% 285.55/44.52 % ------
% 285.55/44.52 % Current options:
% 285.55/44.52 % ------
% 285.55/44.52
% 285.55/44.52
% 285.55/44.52 %
% 285.55/44.52
% 285.55/44.52 % ------ Proving...
% 285.55/44.52 %
% 285.55/44.52
% 285.55/44.52 % SZS status Theorem for theBenchmark.p
% 285.55/44.52
% 285.55/44.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 285.55/44.62
% 285.55/44.62
%------------------------------------------------------------------------------