%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET758+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:48:12 PM UTC 2026
% Result : Theorem 7.32s 1.75s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 1300 ( 29 unt; 0 def)
% Number of atoms : 4581 ( 381 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 5708 (2427 ~;3199 |; 63 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 4926 ( 0 sgn4903 !; 23 ?;4735 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X2)
& member(X5,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X6)
& apply(X0,X3,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( member(X3,image3(X0,X1,X2))
<=> ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image3) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( member(X3,inverse_image3(X0,X1,X2))
<=> ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_image3) ).
fof(f29,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X3,X2)
& maps(X0,X1,X2) )
=> subset(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa08) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X3,X2)
& maps(X0,X1,X2) )
=> subset(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f33,plain,
? [X0,X1,X2,X3] :
( subset(X3,X2)
& maps(X0,X1,X2)
& ~ subset(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( subset(X3,X2)
& maps(X0,X1,X2)
& ~ subset(image3(X0,inverse_image3(X0,X3,X1),X2),X3) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
( subset(sK3,sK2)
& maps(sK0,sK1,sK2)
& ~ subset(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ maps(X0,X1,X2)
| ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ( apply(X0,X3,sK5(X0,X2,X3))
& member(sK5(X0,X2,X3),X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X2,X3))],[f37]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X5] :
( apply(X0,X5,X3)
& member(X5,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( apply(X0,sK6(X0,X1,X3),X3)
& member(sK6(X0,X1,X3),X1)
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X5,sK6(X0,X1,X3))],[f45]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( ? [X5] :
( apply(X0,X3,X5)
& member(X5,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( apply(X0,X3,sK7(X0,X1,X3))
& member(sK7(X0,X1,X3),X1)
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X5,sK7(X0,X1,X3))],[f49]) ).
fof(f51,plain,
subset(sK3,sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
~ subset(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f55,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f56,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f57,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ),
inference(cnf_transformation,[],[f42]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK5(X0,X2,X3)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK5(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| apply(X0,sK6(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(sK6(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| apply(X0,X3,sK7(X0,X1,X3)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(sK7(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1)
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_49,negated_conjecture,
~ subset(image3(sK0,inverse_image3(sK0,sK3,sK1),sK2),sK3),
inference(cnf_transformation,[],[f53]) ).
tcf(c_50,negated_conjecture,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f52]) ).
tcf(c_51,negated_conjecture,
subset(sK3,sK2),
inference(cnf_transformation,[],[f51]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK5(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X2,image3(X0,X4,X3))
| ~ member(X2,X3)
| ~ member(X1,X4)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X1,X2,X0),X2)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK6(X1,X2,X0),X0)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X1,inverse_image3(X0,X4,X3))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,X0),X2)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,X0,sK7(X1,X2,X0))
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_57]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X2)
| ~ apply(sK0,X0,X1) ),
inference(unflattening,[status(thm)],[c_312]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK5(X0,X2,X3))
| ~ member(X3,X1)
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
tcf(c_334,plain,
! [X0: $i] :
( apply(sK0,X0,sK5(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_333]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(X0,X2,X3),X2)
| ~ member(X3,X1)
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_55]) ).
tcf(c_343,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_342]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_334,c_313]) ).
tcf(c_888,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_881,c_343,c_881]) ).
tcf(c_908,plain,
! [X0: $i] : subset(X0,X0),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK4(image3(X0,X1,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_53,c_59]) ).
tcf(c_922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK4(inverse_image3(X0,X1,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_53,c_63]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X1),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_343,c_54]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_53,c_60]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X3)
| member(sK4(X0,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_932,c_54]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK6(X1,X2,sK4(X0,X4)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_932,c_60]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_932,c_59]) ).
tcf(c_959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK4(X0,X4),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_932,c_63]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),X1) ),
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| member(sK7(X1,X2,sK4(X0,X4)),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_932,c_64]) ).
tcf(c_989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(X0,sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK4(image3(X0,X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_53,c_61]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK6(X1,X2,sK4(X0,X4)),sK4(X0,X4))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_932,c_61]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(X0,sK4(inverse_image3(X0,X1,X2),X3),sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_1002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X0,X4)
| apply(X1,sK4(X0,X4),sK7(X1,X2,sK4(X0,X4)))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_932,c_65]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_933,c_54]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,sK5(sK0,sK2,X3)),sK5(sK0,sK2,X3))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_933,c_61]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,sK5(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_933,c_60]) ).
tcf(c_1018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_933,c_59]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK5(sK0,sK2,X3),sK7(X0,X1,sK5(sK0,sK2,X3)))
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_933,c_65]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK5(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_933,c_64]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_933,c_63]) ).
tcf(c_1072,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ~ subset(sK2,sK3)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_51,c_1015]) ).
tcf(c_1105,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_334,c_58]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,X1,X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_334,c_62]) ).
tcf(c_1131,plain,
! [X0: $i,X1: $i,X2: $i] : subset(image3(X0,X1,X2),X2),
inference(superposition,[status(thm)],[c_914,c_52]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X0),X4)
| member(sK4(image3(X2,X3,X0),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_914,c_54]) ).
tcf(c_1133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(X0,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK4(image3(X2,X3,image3(X0,X1,X4)),X5)) ),
inference(superposition,[status(thm)],[c_914,c_61]) ).
tcf(c_1134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_914,c_60]) ).
tcf(c_1135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),X4) ),
inference(superposition,[status(thm)],[c_914,c_59]) ).
tcf(c_1136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,inverse_image3(X0,X3,X4)),X5)
| apply(X0,sK4(image3(X1,X2,inverse_image3(X0,X3,X4)),X5),sK7(X0,X3,sK4(image3(X1,X2,inverse_image3(X0,X3,X4)),X5))) ),
inference(superposition,[status(thm)],[c_914,c_65]) ).
tcf(c_1137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK7(X0,X1,sK4(image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_914,c_64]) ).
tcf(c_1138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),X4) ),
inference(superposition,[status(thm)],[c_914,c_63]) ).
tcf(c_1177,plain,
! [X0: $i,X1: $i,X2: $i] : subset(inverse_image3(X0,X1,X2),X2),
inference(superposition,[status(thm)],[c_922,c_52]) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,X0),X4)
| member(sK4(inverse_image3(X2,X3,X0),X4),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_922,c_54]) ).
tcf(c_1179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(X0,sK6(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)) ),
inference(superposition,[status(thm)],[c_922,c_61]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK6(X0,X1,sK4(inverse_image3(X2,X3,image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_922,c_60]) ).
tcf(c_1181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),X4) ),
inference(superposition,[status(thm)],[c_922,c_59]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X0,X3,X4)),X5)
| apply(X0,sK4(inverse_image3(X1,X2,inverse_image3(X0,X3,X4)),X5),sK7(X0,X3,sK4(inverse_image3(X1,X2,inverse_image3(X0,X3,X4)),X5))) ),
inference(superposition,[status(thm)],[c_922,c_65]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)
| member(sK7(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X0,X1,X4)),X5)),X1) ),
inference(superposition,[status(thm)],[c_922,c_64]) ).
tcf(c_1184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),X4) ),
inference(superposition,[status(thm)],[c_922,c_63]) ).
tcf(c_1242,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_51,c_956]) ).
tcf(c_1256,plain,
! [X0: $i] :
( subset(sK3,X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_1242,c_52]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1242,c_54]) ).
tcf(c_1258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK6(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1242,c_61]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK6(X0,X1,sK4(sK3,X3)),X1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1242,c_60]) ).
tcf(c_1260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1242,c_59]) ).
tcf(c_1261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK7(X0,X1,sK4(sK3,X3)))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1242,c_65]) ).
tcf(c_1262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1242,c_64]) ).
tcf(c_1263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1242,c_63]) ).
tcf(c_1355,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK2)
| ~ subset(sK2,sK3) ),
inference(superposition,[status(thm)],[c_51,c_1257]) ).
tcf(c_1381,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK3)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_1355,c_54]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X0,X3),X4)
| member(sK6(X2,X0,sK4(image3(X2,X0,X3),X4)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_945,c_54]) ).
tcf(c_1400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,image3(X0,X1,X3),X4),X5)
| apply(X0,sK6(X0,X1,sK6(X2,image3(X0,X1,X3),sK4(image3(X2,image3(X0,X1,X3),X4),X5))),sK6(X2,image3(X0,X1,X3),sK4(image3(X2,image3(X0,X1,X3),X4),X5))) ),
inference(superposition,[status(thm)],[c_945,c_61]) ).
tcf(c_1401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,image3(X0,X1,X3),X4),X5)
| member(sK6(X0,X1,sK6(X2,image3(X0,X1,X3),sK4(image3(X2,image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_945,c_60]) ).
tcf(c_1402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,image3(X1,X2,X3),X4),X5)
| member(sK6(X0,image3(X1,X2,X3),sK4(image3(X0,image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_945,c_59]) ).
tcf(c_1403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,inverse_image3(X0,X2,X3),X4),X5)
| apply(X0,sK6(X1,inverse_image3(X0,X2,X3),sK4(image3(X1,inverse_image3(X0,X2,X3),X4),X5)),sK7(X0,X2,sK6(X1,inverse_image3(X0,X2,X3),sK4(image3(X1,inverse_image3(X0,X2,X3),X4),X5)))) ),
inference(superposition,[status(thm)],[c_945,c_65]) ).
tcf(c_1404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,inverse_image3(X0,X1,X3),X4),X5)
| member(sK7(X0,X1,sK6(X2,inverse_image3(X0,X1,X3),sK4(image3(X2,inverse_image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_945,c_64]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,inverse_image3(X1,X2,X3),X4),X5)
| member(sK6(X0,inverse_image3(X1,X2,X3),sK4(image3(X0,inverse_image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_945,c_63]) ).
tcf(c_1448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X0,X3),X4)
| member(sK7(X2,X0,sK4(inverse_image3(X2,X0,X3),X4)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_977,c_54]) ).
tcf(c_1449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,image3(X0,X1,X3),X4),X5)
| apply(X0,sK6(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(inverse_image3(X2,image3(X0,X1,X3),X4),X5))),sK7(X2,image3(X0,X1,X3),sK4(inverse_image3(X2,image3(X0,X1,X3),X4),X5))) ),
inference(superposition,[status(thm)],[c_977,c_61]) ).
tcf(c_1450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,image3(X0,X1,X3),X4),X5)
| member(sK6(X0,X1,sK7(X2,image3(X0,X1,X3),sK4(inverse_image3(X2,image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_977,c_60]) ).
tcf(c_1451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,image3(X1,X2,X3),X4),X5)
| member(sK7(X0,image3(X1,X2,X3),sK4(inverse_image3(X0,image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_977,c_59]) ).
tcf(c_1452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,inverse_image3(X0,X2,X3),X4),X5)
| apply(X0,sK7(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X1,inverse_image3(X0,X2,X3),X4),X5)),sK7(X0,X2,sK7(X1,inverse_image3(X0,X2,X3),sK4(inverse_image3(X1,inverse_image3(X0,X2,X3),X4),X5)))) ),
inference(superposition,[status(thm)],[c_977,c_65]) ).
tcf(c_1453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X2,inverse_image3(X0,X1,X3),X4),X5)
| member(sK7(X0,X1,sK7(X2,inverse_image3(X0,X1,X3),sK4(inverse_image3(X2,inverse_image3(X0,X1,X3),X4),X5))),X1) ),
inference(superposition,[status(thm)],[c_977,c_64]) ).
tcf(c_1454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,inverse_image3(X1,X2,X3),X4),X5)
| member(sK7(X0,inverse_image3(X1,X2,X3),sK4(inverse_image3(X0,inverse_image3(X1,X2,X3),X4),X5)),X3) ),
inference(superposition,[status(thm)],[c_977,c_63]) ).
tcf(c_1541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X2,X3,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1132,c_52]) ).
tcf(c_1542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,X0),X5)
| member(sK4(image3(X3,X4,X0),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1132,c_54]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| apply(X1,sK6(X1,X2,sK4(image3(X4,X5,X0),X6)),sK4(image3(X4,X5,X0),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1132,c_61]) ).
tcf(c_1544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK6(X1,X2,sK4(image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1132,c_60]) ).
tcf(c_1545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK4(image3(X4,X5,X0),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1132,c_59]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| apply(X1,sK4(image3(X4,X5,X0),X6),sK7(X1,X2,sK4(image3(X4,X5,X0),X6)))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1132,c_65]) ).
tcf(c_1547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK7(X1,X2,sK4(image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1132,c_64]) ).
tcf(c_1548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,X0),X6)
| member(sK4(image3(X4,X5,X0),X6),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1132,c_63]) ).
tcf(c_1588,plain,
~ subset(sK2,sK3),
inference(superposition,[status(thm)],[c_1541,c_49]) ).
tcf(c_1589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1541,c_1257]) ).
tcf(c_1591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1541,c_1015]) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X2,X3,X0),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_52]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X4,X0),X5)
| member(sK4(inverse_image3(X3,X4,X0),X5),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1178,c_54]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| apply(X1,sK6(X1,X2,sK4(inverse_image3(X4,X5,X0),X6)),sK4(inverse_image3(X4,X5,X0),X6))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1178,c_61]) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| member(sK6(X1,X2,sK4(inverse_image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1178,c_60]) ).
tcf(c_1621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| member(sK4(inverse_image3(X4,X5,X0),X6),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1178,c_59]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| apply(X1,sK4(inverse_image3(X4,X5,X0),X6),sK7(X1,X2,sK4(inverse_image3(X4,X5,X0),X6)))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1178,c_65]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| member(sK7(X1,X2,sK4(inverse_image3(X4,X5,X0),X6)),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1178,c_64]) ).
tcf(c_1624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X5,X0),X6)
| member(sK4(inverse_image3(X4,X5,X0),X6),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1178,c_63]) ).
tcf(c_1689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1617,c_1257]) ).
tcf(c_1691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1617,c_1015]) ).
tcf(c_1718,plain,
! [X0: $i,X1: $i] :
( member(X0,inverse_image3(sK0,sK2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_343,c_1119]) ).
tcf(c_1719,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_933,c_1119]) ).
tcf(c_1741,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,sK2,X1))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,X1)),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,X1)),X1) ),
inference(superposition,[status(thm)],[c_1718,c_52]) ).
tcf(c_1742,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1718,c_54]) ).
tcf(c_1743,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK7(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1718,c_65]) ).
tcf(c_1744,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1718,c_64]) ).
tcf(c_1746,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,X1),X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1718,c_1119]) ).
tcf(c_1806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ member(sK5(sK0,sK2,X3),X1)
| ~ subset(image3(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1105,c_54]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,X2,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_61]) ).
tcf(c_1808,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,X2,sK5(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_60]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse_image3(sK0,image3(sK0,X2,X1),X3))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_1119]) ).
tcf(c_1838,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_53,c_1744]) ).
tcf(c_1839,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_343,c_1744]) ).
tcf(c_1840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,X2),X3)),sK2)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_914,c_1744]) ).
tcf(c_1841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)),sK2)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_922,c_1744]) ).
tcf(c_1842,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_932,c_1744]) ).
tcf(c_1843,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_933,c_1744]) ).
tcf(c_1844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))),sK2)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_945,c_1744]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),sK2)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_977,c_1744]) ).
tcf(c_1846,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_1744]) ).
tcf(c_1847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,X2),X3)),sK2)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1132,c_1744]) ).
tcf(c_1848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)),sK2)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1744]) ).
tcf(c_1849,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_1242,c_1744]) ).
tcf(c_1942,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_1839,c_54]) ).
tcf(c_1943,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1839,c_1744]) ).
tcf(c_1966,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK7(sK0,sK2,sK4(X0,X1)))
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_53,c_1743]) ).
tcf(c_1967,plain,
! [X0: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_343,c_1743]) ).
tcf(c_1968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK4(image3(X0,X1,X2),X3),sK7(sK0,sK2,sK4(image3(X0,X1,X2),X3)))
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_914,c_1743]) ).
tcf(c_1969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK4(inverse_image3(X0,X1,X2),X3),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_922,c_1743]) ).
tcf(c_1970,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK7(sK0,sK2,sK4(X0,X1)))
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_932,c_1743]) ).
tcf(c_1971,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_933,c_1743]) ).
tcf(c_1972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK7(sK0,sK2,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_945,c_1743]) ).
tcf(c_1973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK7(sK0,sK2,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ member(sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_977,c_1743]) ).
tcf(c_1974,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_1743]) ).
tcf(c_1975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK4(image3(X0,X1,X2),X3),sK7(sK0,sK2,sK4(image3(X0,X1,X2),X3)))
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1132,c_1743]) ).
tcf(c_1976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK4(inverse_image3(X0,X1,X2),X3),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1743]) ).
tcf(c_1977,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,sK2,sK4(sK3,X0)))
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_1242,c_1743]) ).
tcf(c_1979,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1839,c_1743]) ).
tcf(c_2085,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_1838,c_54]) ).
tcf(c_2086,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))))
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1838,c_1743]) ).
tcf(c_2087,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))),sK2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1838,c_1744]) ).
tcf(c_2122,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1617,c_1742]) ).
tcf(c_2131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(image3(X0,X1,image3(X2,X3,X4)),X4),
inference(superposition,[status(thm)],[c_1135,c_52]) ).
tcf(c_2132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,image3(X4,X5,X0)),X6)
| member(sK4(image3(X2,X3,image3(X4,X5,X0)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1135,c_54]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| apply(X0,sK6(X0,X1,sK4(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),sK4(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)) ),
inference(superposition,[status(thm)],[c_1135,c_61]) ).
tcf(c_2134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| member(sK6(X0,X1,sK4(image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1135,c_60]) ).
tcf(c_2135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7)
| member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1135,c_59]) ).
tcf(c_2136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7)
| apply(X0,sK4(image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7),sK7(X0,X5,sK4(image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1135,c_65]) ).
tcf(c_2137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,image3(X4,X5,inverse_image3(X0,X1,X6))),X7)
| member(sK7(X0,X1,sK4(image3(X2,X3,image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1135,c_64]) ).
tcf(c_2138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6))),X7)
| member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1135,c_63]) ).
tcf(c_2139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| apply(sK0,sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)))
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1135,c_1743]) ).
tcf(c_2140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)),sK2)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1135,c_1744]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2131,c_1257]) ).
tcf(c_2187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2131,c_1015]) ).
tcf(c_2210,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,inverse_image3(sK0,X1,X2))
| ~ subset(sK2,X1)
| ~ member(sK4(X0,inverse_image3(sK0,X1,X2)),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_1719,c_52]) ).
tcf(c_2211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X3,X2)
| ~ member(X3,sK1)
| ~ subset(sK2,X0)
| ~ member(X3,X1)
| ~ subset(inverse_image3(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1719,c_54]) ).
tcf(c_2212,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,X0,sK7(sK0,X2,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1719,c_65]) ).
tcf(c_2213,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,X0),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1719,c_64]) ).
tcf(c_2215,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,X0,sK7(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1719,c_1743]) ).
tcf(c_2216,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1719,c_1744]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,X3,X1),X2))
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1719,c_1119]) ).
tcf(c_2299,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,X1,X2))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_1967,c_62]) ).
tcf(c_2300,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_1967,c_58]) ).
tcf(c_2301,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1967,c_888]) ).
tcf(c_2302,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,sK5(sK0,sK2,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ apply(sK0,sK5(sK0,sK2,X0),X1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_1967,c_313]) ).
tcf(c_2337,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,sK2,sK4(sK3,X0)))
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_908,c_1977]) ).
tcf(c_2345,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,sK5(sK0,sK2,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ apply(sK0,sK5(sK0,sK2,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_2302,c_1839,c_2302]) ).
tcf(c_2358,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,sK5(sK0,sK2,X0)),sK2) ),
inference(superposition,[status(thm)],[c_334,c_2345]) ).
tcf(c_2398,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_2358,c_1839,c_2301]) ).
tcf(c_2407,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,X0)) = sK7(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_933,c_2398]) ).
tcf(c_2434,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,X1,X2))
| ~ member(sK4(sK3,X0),sK1)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_2337,c_62]) ).
tcf(c_2435,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),image3(sK0,X2,X1))
| ~ member(sK4(sK3,X0),sK1)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_2337,c_58]) ).
tcf(c_2436,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ member(sK4(sK3,X0),sK1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2337,c_888]) ).
tcf(c_2437,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_2337,c_313]) ).
tcf(c_2466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X3,X4,image3(X2,X0,X5)),X6)
| member(sK6(X2,X0,sK4(image3(X3,X4,image3(X2,X0,X5)),X6)),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1134,c_54]) ).
tcf(c_2467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7)
| apply(X0,sK6(X0,X1,sK6(X2,image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))),sK6(X2,image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))) ),
inference(superposition,[status(thm)],[c_1134,c_61]) ).
tcf(c_2468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7)
| member(sK6(X0,X1,sK6(X2,image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1134,c_60]) ).
tcf(c_2469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,image3(X0,image3(X1,X2,X3),X6)),X7)
| member(sK6(X0,image3(X1,X2,X3),sK4(image3(X4,X5,image3(X0,image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1134,c_59]) ).
tcf(c_2470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)
| apply(X0,sK6(X1,inverse_image3(X0,X2,X3),sK4(image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)),sK7(X0,X2,sK6(X1,inverse_image3(X0,X2,X3),sK4(image3(X4,X5,image3(X1,inverse_image3(X0,X2,X3),X6)),X7)))) ),
inference(superposition,[status(thm)],[c_1134,c_65]) ).
tcf(c_2471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,image3(X2,inverse_image3(X0,X1,X3),X6)),X7)
| member(sK7(X0,X1,sK6(X2,inverse_image3(X0,X1,X3),sK4(image3(X4,X5,image3(X2,inverse_image3(X0,X1,X3),X6)),X7))),X1) ),
inference(superposition,[status(thm)],[c_1134,c_64]) ).
tcf(c_2472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X4,X5,image3(X0,inverse_image3(X1,X2,X3),X6)),X7)
| member(sK6(X0,inverse_image3(X1,X2,X3),sK4(image3(X4,X5,image3(X0,inverse_image3(X1,X2,X3),X6)),X7)),X3) ),
inference(superposition,[status(thm)],[c_1134,c_63]) ).
tcf(c_2473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK7(sK0,sK2,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))))
| ~ member(sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1134,c_1743]) ).
tcf(c_2474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(sK0,sK2,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),sK2)
| ~ member(sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1134,c_1744]) ).
tcf(c_2541,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,X1,X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_334,c_62]) ).
tcf(c_2554,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK4(X0,X1)),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_53,c_2213]) ).
tcf(c_2555,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_343,c_2213]) ).
tcf(c_2556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,X4,sK4(image3(X0,X1,X2),X3)),X4)
| ~ subset(sK2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_914,c_2213]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,X4,sK4(inverse_image3(X0,X1,X2),X3)),X4)
| ~ subset(sK2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_922,c_2213]) ).
tcf(c_2558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,X3,sK4(X0,X1)),X3)
| ~ subset(sK2,X3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_932,c_2213]) ).
tcf(c_2559,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK5(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_933,c_2213]) ).
tcf(c_2560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,X4,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))),X4)
| ~ subset(sK2,X4)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_945,c_2213]) ).
tcf(c_2561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,X4,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))),X4)
| ~ subset(sK2,X4)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_977,c_2213]) ).
tcf(c_2562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK5(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_2213]) ).
tcf(c_2563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,X0),X3)
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1719,c_2213]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,X5,sK4(image3(X0,X1,X2),X3)),X5)
| ~ subset(sK2,X5)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1132,c_2213]) ).
tcf(c_2565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| member(sK7(sK0,X6,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))),X6)
| ~ subset(sK2,X6)
| ~ member(sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1134,c_2213]) ).
tcf(c_2566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK7(sK0,X6,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)),X6)
| ~ subset(sK2,X6)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1135,c_2213]) ).
tcf(c_2567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| member(sK7(sK0,X5,sK4(inverse_image3(X0,X1,X2),X3)),X5)
| ~ subset(sK2,X5)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1178,c_2213]) ).
tcf(c_2568,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X2,sK4(sK3,X0)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_1242,c_2213]) ).
tcf(c_2570,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| member(sK7(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))),X2)
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1838,c_2213]) ).
tcf(c_2571,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1839,c_2213]) ).
tcf(c_2717,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK7(sK0,X2,sK4(X0,X1)))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_53,c_2212]) ).
tcf(c_2718,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,X1,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_343,c_2212]) ).
tcf(c_2719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK4(image3(X0,X1,X2),X3),sK7(sK0,X4,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_914,c_2212]) ).
tcf(c_2720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK4(inverse_image3(X0,X1,X2),X3),sK7(sK0,X4,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(sK2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_922,c_2212]) ).
tcf(c_2721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK7(sK0,X3,sK4(X0,X1)))
| ~ subset(sK2,X3)
| ~ subset(X0,X2)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_932,c_2212]) ).
tcf(c_2722,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,X2,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_933,c_2212]) ).
tcf(c_2723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK7(sK0,X4,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ subset(sK2,X4)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_945,c_2212]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK7(sK0,X4,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ subset(sK2,X4)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_977,c_2212]) ).
tcf(c_2725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,X3,sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1105,c_2212]) ).
tcf(c_2726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,X0,sK7(sK0,X3,X0))
| ~ member(X0,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK2,X2)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_1719,c_2212]) ).
tcf(c_2727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK4(image3(X0,X1,X2),X3),sK7(sK0,X5,sK4(image3(X0,X1,X2),X3)))
| ~ subset(sK2,X5)
| ~ subset(X2,X4)
| ~ member(sK4(image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1132,c_2212]) ).
tcf(c_2728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,image3(X0,X1,X4)),X5)
| apply(sK0,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK7(sK0,X6,sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5))))
| ~ subset(sK2,X6)
| ~ member(sK6(X0,X1,sK4(image3(X2,X3,image3(X0,X1,X4)),X5)),sK1) ),
inference(superposition,[status(thm)],[c_1134,c_2212]) ).
tcf(c_2729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),X5)
| apply(sK0,sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK7(sK0,X6,sK4(image3(X0,X1,image3(X2,X3,X4)),X5)))
| ~ subset(sK2,X6)
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1135,c_2212]) ).
tcf(c_2730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK4(inverse_image3(X0,X1,X2),X3),sK7(sK0,X5,sK4(inverse_image3(X0,X1,X2),X3)))
| ~ subset(sK2,X5)
| ~ subset(X2,X4)
| ~ member(sK4(inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_1178,c_2212]) ).
tcf(c_2731,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,X2,sK4(sK3,X0)))
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_1242,c_2212]) ).
tcf(c_2733,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK7(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK2,X2)
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_1838,c_2212]) ).
tcf(c_2734,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK7(sK0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1839,c_2212]) ).
tcf(c_2877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X4),
inference(superposition,[status(thm)],[c_1138,c_52]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X2,X3,inverse_image3(X4,X5,X0)),X6)
| member(sK4(image3(X2,X3,inverse_image3(X4,X5,X0)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1138,c_54]) ).
tcf(c_2879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)
| apply(X0,sK6(X0,X1,sK4(image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)),sK4(image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)) ),
inference(superposition,[status(thm)],[c_1138,c_61]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)
| member(sK6(X0,X1,sK4(image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1138,c_60]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6))),X7)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1138,c_59]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7)
| apply(X0,sK4(image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7),sK7(X0,X5,sK4(image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1138,c_65]) ).
tcf(c_2883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X0,X1,X6))),X7)
| member(sK7(X0,X1,sK4(image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1138,c_64]) ).
tcf(c_2884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6))),X7)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1138,c_63]) ).
tcf(c_2885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| apply(sK0,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK7(sK0,X6,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)))
| ~ subset(sK2,X6)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1138,c_2212]) ).
tcf(c_2886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK7(sK0,X6,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),X6)
| ~ subset(sK2,X6)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1138,c_2213]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| apply(sK0,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)))
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1138,c_1743]) ).
tcf(c_2888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK2)
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1138,c_1744]) ).
tcf(c_2932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2877,c_1257]) ).
tcf(c_2934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2877,c_1015]) ).
tcf(c_2972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X4),
inference(superposition,[status(thm)],[c_1181,c_52]) ).
tcf(c_2973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,X0)),X6)
| member(sK4(inverse_image3(X2,X3,image3(X4,X5,X0)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1181,c_54]) ).
tcf(c_2974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| apply(X0,sK6(X0,X1,sK4(inverse_image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),sK4(inverse_image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)) ),
inference(superposition,[status(thm)],[c_1181,c_61]) ).
tcf(c_2975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)
| member(sK6(X0,X1,sK4(inverse_image3(X2,X3,image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1181,c_60]) ).
tcf(c_2976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1181,c_59]) ).
tcf(c_2977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7)
| apply(X0,sK4(inverse_image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7),sK7(X0,X5,sK4(inverse_image3(X1,X2,image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1181,c_65]) ).
tcf(c_2978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X0,X1,X6))),X7)
| member(sK7(X0,X1,sK4(inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1181,c_64]) ).
tcf(c_2979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6))),X7)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1181,c_63]) ).
tcf(c_2980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)
| apply(sK0,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK7(sK0,X6,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)))
| ~ subset(sK2,X6)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1181,c_2212]) ).
tcf(c_2981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK7(sK0,X6,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),X6)
| ~ subset(sK2,X6)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1181,c_2213]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)
| apply(sK0,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)))
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1181,c_1743]) ).
tcf(c_2983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),sK2)
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1181,c_1744]) ).
tcf(c_3050,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X1,sK5(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ subset(X1,X2)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_54]) ).
tcf(c_3051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,sK7(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),sK7(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)))
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2555,c_61]) ).
tcf(c_3052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,sK7(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2555,c_60]) ).
tcf(c_3053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2555,c_59]) ).
tcf(c_3054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK7(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2555,c_65]) ).
tcf(c_3055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2555,c_64]) ).
tcf(c_3056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2555,c_63]) ).
tcf(c_3057,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK7(sK0,X2,sK7(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_2212]) ).
tcf(c_3058,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,X0,sK5(sK0,sK2,X1))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_2213]) ).
tcf(c_3059,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,X0,sK5(sK0,sK2,X1)),sK7(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_1743]) ).
tcf(c_3060,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK7(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_1744]) ).
tcf(c_3223,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_908,c_2568]) ).
tcf(c_3240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X1),inverse_image3(sK0,X2,X3))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK5(sK0,sK2,X1),X3)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_2718,c_62]) ).
tcf(c_3241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,sK5(sK0,sK2,X1)),image3(sK0,X3,X2))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK5(sK0,sK2,X1),X3)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_2718,c_58]) ).
tcf(c_3242,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,sK5(sK0,sK2,X1)) = sK5(sK0,sK2,sK5(sK0,sK2,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2718,c_888]) ).
tcf(c_3243,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X0,sK5(sK0,sK2,X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ apply(sK0,sK5(sK0,sK2,X1),X2)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2718,c_313]) ).
tcf(c_3244,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,sK5(sK0,sK2,X1)) = sK7(sK0,sK2,sK5(sK0,sK2,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK5(sK0,sK2,X1),sK1)
| ~ member(sK7(sK0,X0,sK5(sK0,sK2,X1)),sK2) ),
inference(superposition,[status(thm)],[c_2718,c_2345]) ).
tcf(c_3300,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,X1,sK4(sK3,X0)))
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_908,c_2731]) ).
tcf(c_3315,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2437,c_1838]) ).
tcf(c_3331,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ member(sK4(sK3,X0),sK1)
| ~ member(sK5(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_334,c_3315]) ).
tcf(c_3342,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ member(sK4(sK3,X0),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3331,c_343]) ).
tcf(c_3352,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK3,sK1) ),
inference(superposition,[status(thm)],[c_932,c_3342]) ).
tcf(c_3353,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_3342]) ).
tcf(c_3382,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,sK5(sK0,sK2,X0)) = X1 )
| ~ subset(sK2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ apply(sK0,sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1839,c_3243]) ).
tcf(c_3385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2972,c_1257]) ).
tcf(c_3387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2972,c_1015]) ).
tcf(c_3392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2972,c_1742]) ).
tcf(c_3408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X4),
inference(superposition,[status(thm)],[c_1184,c_52]) ).
tcf(c_3409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X4,X5,X0)),X6)
| member(sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,X0)),X6),X1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1184,c_54]) ).
tcf(c_3410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)
| apply(X0,sK6(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)),sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)) ),
inference(superposition,[status(thm)],[c_1184,c_61]) ).
tcf(c_3411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)
| member(sK6(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1184,c_60]) ).
tcf(c_3412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6))),X7)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1184,c_59]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7)
| apply(X0,sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7),sK7(X0,X5,sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,inverse_image3(X0,X5,X6))),X7))) ),
inference(superposition,[status(thm)],[c_1184,c_65]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X0,X1,X6))),X7)
| member(sK7(X0,X1,sK4(inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X0,X1,X6))),X7)),X1) ),
inference(superposition,[status(thm)],[c_1184,c_64]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6))),X7)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,X6))),X7),X6) ),
inference(superposition,[status(thm)],[c_1184,c_63]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| apply(sK0,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK7(sK0,X6,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)))
| ~ subset(sK2,X6)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1184,c_2212]) ).
tcf(c_3417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK7(sK0,X6,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),X6)
| ~ subset(sK2,X6)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1184,c_2213]) ).
tcf(c_3418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| apply(sK0,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)))
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1184,c_1743]) ).
tcf(c_3419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),sK2)
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK1) ),
inference(superposition,[status(thm)],[c_1184,c_1744]) ).
tcf(c_3482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3408,c_1257]) ).
tcf(c_3484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK5(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3408,c_1015]) ).
tcf(c_3489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_3408,c_1742]) ).
tcf(c_3512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),inverse_image3(sK0,X2,X3))
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK4(X0,X1),X3)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1966,c_62]) ).
tcf(c_3513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),image3(sK0,X3,X2))
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK4(X0,X1),X3)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_1966,c_58]) ).
tcf(c_3514,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1966,c_888]) ).
tcf(c_3515,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK7(sK0,sK2,sK4(X0,X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(sK4(X0,X1),sK1)
| ~ apply(sK0,sK4(X0,X1),X2)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_1966,c_313]) ).
tcf(c_3581,plain,
! [X0: $i,X1: $i] :
( member(X0,inverse_image3(sK0,sK2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_343,c_2541]) ).
tcf(c_3628,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK7(sK0,sK2,sK4(X0,X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(sK4(X0,X1),sK1)
| ~ apply(sK0,sK4(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_3515,c_1838,c_3515]) ).
tcf(c_3640,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1)
| ~ member(sK5(sK0,sK2,sK4(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_334,c_3628]) ).
tcf(c_3646,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ member(sK4(X0,X1),sK1) ),
inference(global_subsumption_just,[status(thm)],[c_3640,c_1838,c_3514]) ).
tcf(c_3654,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_53,c_3646]) ).
tcf(c_3655,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_914,c_3646]) ).
tcf(c_3656,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_922,c_3646]) ).
tcf(c_3657,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_3646]) ).
tcf(c_3658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)) = sK7(sK0,sK2,sK4(image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_3646]) ).
tcf(c_3659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)) = sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1135,c_3646]) ).
tcf(c_3660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) = sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1138,c_3646]) ).
tcf(c_3661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)) = sK7(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_3646]) ).
tcf(c_3662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1181,c_3646]) ).
tcf(c_3663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1184,c_3646]) ).
tcf(c_3760,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3654,c_1257]) ).
tcf(c_3761,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK4(sK1,X2),X1)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3654,c_956]) ).
tcf(c_3762,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK7(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3654,c_1015]) ).
tcf(c_3763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK6(X0,X1,sK4(sK1,X3)),sK4(sK1,X3))
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_990]) ).
tcf(c_3764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK6(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_957]) ).
tcf(c_3765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK4(sK1,X3),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_958]) ).
tcf(c_3766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(X0,X1,sK4(sK1,X3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_978]) ).
tcf(c_3767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK4(sK1,X3),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_959]) ).
tcf(c_3810,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X2)
| ~ subset(sK2,X1)
| ~ subset(X1,X2)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_54]) ).
tcf(c_3811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK6(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3))),sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3)))
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3223,c_61]) ).
tcf(c_3812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK6(X0,X1,sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3))),X1)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3223,c_60]) ).
tcf(c_3813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,image3(X0,X1,X2),sK4(sK3,X3)),X2)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3223,c_59]) ).
tcf(c_3814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3)),sK7(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3))))
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3223,c_65]) ).
tcf(c_3815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3))),X1)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3223,c_64]) ).
tcf(c_3816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,inverse_image3(X0,X1,X2),sK4(sK3,X3)),X2)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3223,c_63]) ).
tcf(c_3817,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),sK7(sK0,X2,sK7(sK0,X0,sK4(sK3,X1))))
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_2212]) ).
tcf(c_3818,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| member(sK7(sK0,X2,sK7(sK0,X0,sK4(sK3,X1))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_2213]) ).
tcf(c_3819,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK7(sK0,X0,sK4(sK3,X1)),sK7(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))))
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_1743]) ).
tcf(c_3820,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK7(sK0,X0,sK4(sK3,X1))),sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_1744]) ).
tcf(c_3936,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_3654,c_3657]) ).
tcf(c_3949,plain,
! [X0: $i] :
( subset(X0,inverse_image3(sK0,sK2,X0))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_53,c_1741]) ).
tcf(c_3950,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,X2),inverse_image3(sK0,sK2,X2))
| ~ member(sK4(image3(X0,X1,X2),inverse_image3(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_914,c_1741]) ).
tcf(c_3951,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,X2),inverse_image3(sK0,sK2,X2))
| ~ member(sK4(inverse_image3(X0,X1,X2),inverse_image3(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_922,c_1741]) ).
tcf(c_3952,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,sK2,X1))
| ~ subset(X0,X1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_932,c_1741]) ).
tcf(c_3953,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,X1,X2)))
| ~ subset(sK2,X1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,X1,X2))),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,X1,X2))),X2) ),
inference(superposition,[status(thm)],[c_1719,c_1741]) ).
tcf(c_3954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,X2),inverse_image3(sK0,sK2,X3))
| ~ subset(X2,X3)
| ~ member(sK4(image3(X0,X1,X2),inverse_image3(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_1132,c_1741]) ).
tcf(c_3955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4))
| ~ member(sK4(image3(X0,X1,image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4)),sK1) ),
inference(superposition,[status(thm)],[c_1135,c_1741]) ).
tcf(c_3956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4))
| ~ member(sK4(image3(X0,X1,inverse_image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4)),sK1) ),
inference(superposition,[status(thm)],[c_1138,c_1741]) ).
tcf(c_3957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,X2),inverse_image3(sK0,sK2,X3))
| ~ subset(X2,X3)
| ~ member(sK4(inverse_image3(X0,X1,X2),inverse_image3(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_1178,c_1741]) ).
tcf(c_3958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4))
| ~ member(sK4(inverse_image3(X0,X1,image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4)),sK1) ),
inference(superposition,[status(thm)],[c_1181,c_1741]) ).
tcf(c_3959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4))
| ~ member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),inverse_image3(sK0,sK2,X4)),sK1) ),
inference(superposition,[status(thm)],[c_1184,c_1741]) ).
tcf(c_3960,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,X0))
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1242,c_1741]) ).
tcf(c_3961,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X1)))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X1))),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X1))),X1) ),
inference(superposition,[status(thm)],[c_1718,c_1741]) ).
tcf(c_4037,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,X0))
| ~ subset(sK3,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_932,c_3960]) ).
tcf(c_4038,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,X0))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_1242,c_3960]) ).
tcf(c_4054,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ~ subset(sK3,sK1)
| ~ subset(sK2,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_4037,c_956]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK4(sK3,X1)),sK2)
| ~ subset(sK3,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4037,c_978]) ).
tcf(c_4057,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK3,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4037,c_959]) ).
tcf(c_4090,plain,
subset(sK1,inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_53,c_3949]) ).
tcf(c_4091,plain,
! [X0: $i,X1: $i] : subset(image3(X0,X1,sK1),inverse_image3(sK0,sK2,image3(X0,X1,sK1))),
inference(superposition,[status(thm)],[c_914,c_3949]) ).
tcf(c_4092,plain,
! [X0: $i,X1: $i] : subset(inverse_image3(X0,X1,sK1),inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1))),
inference(superposition,[status(thm)],[c_922,c_3949]) ).
tcf(c_4093,plain,
! [X0: $i] :
( subset(X0,inverse_image3(sK0,sK2,X0))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_3949]) ).
tcf(c_4094,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X1,X2,X0),inverse_image3(sK0,sK2,image3(X1,X2,X0)))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_3949]) ).
tcf(c_4095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,image3(X2,X3,sK1)),inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1)))),
inference(superposition,[status(thm)],[c_1135,c_3949]) ).
tcf(c_4096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1)))),
inference(superposition,[status(thm)],[c_1138,c_3949]) ).
tcf(c_4097,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X1,X2,X0),inverse_image3(sK0,sK2,inverse_image3(X1,X2,X0)))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_3949]) ).
tcf(c_4098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1)))),
inference(superposition,[status(thm)],[c_1181,c_3949]) ).
tcf(c_4099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)))),
inference(superposition,[status(thm)],[c_1184,c_3949]) ).
tcf(c_4100,plain,
( subset(sK3,inverse_image3(sK0,sK2,sK3))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_3949]) ).
tcf(c_4194,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4090,c_1257]) ).
tcf(c_4195,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_4090,c_956]) ).
tcf(c_4196,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4090,c_1015]) ).
tcf(c_4197,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK4(sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4090,c_978]) ).
tcf(c_4198,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK4(sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_4090,c_959]) ).
tcf(c_4229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK4(sK1,X3),sK7(X0,X1,sK4(sK1,X3)))
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_1002]) ).
tcf(c_4233,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK4(sK3,X1),sK7(sK0,sK2,sK4(sK3,X1)))
| ~ subset(sK3,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4037,c_1002]) ).
tcf(c_4234,plain,
! [X0: $i] :
( subset(sK1,X0)
| apply(sK0,sK4(sK1,X0),sK7(sK0,sK2,sK4(sK1,X0))) ),
inference(superposition,[status(thm)],[c_4090,c_1002]) ).
tcf(c_4261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X0,X4),X5)
| member(sK6(X3,X0,sK4(image3(X3,X0,X4),X5)),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1399,c_54]) ).
tcf(c_4262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| apply(X1,sK6(X1,X2,sK6(X4,X0,sK4(image3(X4,X0,X5),X6))),sK6(X4,X0,sK4(image3(X4,X0,X5),X6)))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1399,c_61]) ).
tcf(c_4263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK6(X1,X2,sK6(X4,X0,sK4(image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1399,c_60]) ).
tcf(c_4264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK6(X4,X0,sK4(image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1399,c_59]) ).
tcf(c_4265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| apply(X1,sK6(X4,X0,sK4(image3(X4,X0,X5),X6)),sK7(X1,X2,sK6(X4,X0,sK4(image3(X4,X0,X5),X6))))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1399,c_65]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK7(X1,X2,sK6(X4,X0,sK4(image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1399,c_64]) ).
tcf(c_4267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X0,X5),X6)
| member(sK6(X4,X0,sK4(image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1399,c_63]) ).
tcf(c_4268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK7(sK0,X5,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1399,c_2212]) ).
tcf(c_4269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,X5,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))),X5)
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1399,c_2213]) ).
tcf(c_4270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| apply(sK0,sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK7(sK0,sK2,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))))
| ~ subset(X1,X4)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1399,c_1743]) ).
tcf(c_4271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X3)
| member(sK7(sK0,sK2,sK6(X0,X1,sK4(image3(X0,X1,X2),X3))),sK2)
| ~ subset(X1,X4)
| ~ member(sK6(X0,X1,sK4(image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1399,c_1744]) ).
tcf(c_4354,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,X0))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1257]) ).
tcf(c_4355,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK4(X0,X2),X1)
| ~ subset(X0,sK1)
| ~ subset(inverse_image3(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_4093,c_956]) ).
tcf(c_4356,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X1),inverse_image3(sK0,sK2,X0))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1015]) ).
tcf(c_4357,plain,
( subset(sK3,inverse_image3(sK0,sK2,sK2))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1256]) ).
tcf(c_4358,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| apply(sK0,sK4(X0,X1),sK7(sK0,sK2,sK4(X0,X1)))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1002]) ).
tcf(c_4359,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK7(sK0,sK2,sK4(X0,X1)),sK2)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_978]) ).
tcf(c_4361,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4093,c_1689]) ).
tcf(c_4362,plain,
! [X0: $i] :
( apply(sK0,sK5(sK0,sK2,X0),sK7(sK0,sK2,sK5(sK0,sK2,X0)))
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1019]) ).
tcf(c_4363,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,sK2,sK4(sK3,X0)))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1261]) ).
tcf(c_4364,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1262]) ).
tcf(c_4365,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK2)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1263]) ).
tcf(c_4366,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK2)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1020]) ).
tcf(c_4367,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1021]) ).
tcf(c_4368,plain,
! [X0: $i,X1: $i] :
( member(X1,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X0)))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1742]) ).
tcf(c_4478,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_4100,c_956]) ).
tcf(c_4482,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK3)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4100,c_959]) ).
tcf(c_4497,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK2),X0) ),
inference(superposition,[status(thm)],[c_4357,c_956]) ).
tcf(c_4519,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_4038,c_956]) ).
tcf(c_4521,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK4(sK3,X1),sK7(sK0,sK2,sK4(sK3,X1)))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4038,c_1002]) ).
tcf(c_4522,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK4(sK3,X1)),sK2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4038,c_978]) ).
tcf(c_4551,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,X1,sK4(sK3,X0)))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4365,c_2212]) ).
tcf(c_4552,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK4(sK3,X0)),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4365,c_2213]) ).
tcf(c_4574,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK7(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_3581,c_65]) ).
tcf(c_4602,plain,
( subset(sK3,inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4194,c_52]) ).
tcf(c_4603,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_4194,c_54]) ).
tcf(c_4606,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),sK1)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4194,c_63]) ).
tcf(c_4611,plain,
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))),sK1) ),
inference(superposition,[status(thm)],[c_4194,c_1741]) ).
tcf(c_4649,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK4(sK3,X1)),X0)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4364,c_54]) ).
tcf(c_4650,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK7(sK0,X1,sK7(sK0,sK2,sK4(sK3,X0))))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4364,c_2212]) ).
tcf(c_4651,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X1,sK7(sK0,sK2,sK4(sK3,X0))),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4364,c_2213]) ).
tcf(c_4652,plain,
! [X0: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))))
| ~ subset(sK2,sK1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4364,c_1743]) ).
tcf(c_4653,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))),sK2)
| ~ subset(sK2,sK1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4364,c_1744]) ).
tcf(c_4689,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,X1,X2))
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_4363,c_62]) ).
tcf(c_4690,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),image3(sK0,X2,X1))
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),X1) ),
inference(superposition,[status(thm)],[c_4363,c_58]) ).
tcf(c_4692,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4363,c_313]) ).
tcf(c_4719,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_4692,c_4364,c_4606,c_4692]) ).
tcf(c_4743,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,X0))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4354,c_52]) ).
tcf(c_4744,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1)
| ~ subset(inverse_image3(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_4354,c_54]) ).
tcf(c_4745,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| apply(sK0,sK4(sK3,X1),sK7(sK0,sK2,sK4(sK3,X1)))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4354,c_65]) ).
tcf(c_4746,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK7(sK0,sK2,sK4(sK3,X1)),sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4354,c_64]) ).
tcf(c_4748,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,X2,sK4(sK3,X0)))
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ subset(X1,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4354,c_2212]) ).
tcf(c_4749,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| member(sK7(sK0,X2,sK4(sK3,X0)),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ subset(X1,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4354,c_2213]) ).
tcf(c_4750,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,sK2,sK4(sK3,X0)))
| ~ subset(sK2,X1)
| ~ subset(X1,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4354,c_1743]) ).
tcf(c_4751,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| member(sK7(sK0,sK2,sK4(sK3,X0)),sK2)
| ~ subset(sK2,X1)
| ~ subset(X1,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4354,c_1744]) ).
tcf(c_4752,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X0)))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1)
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X0))),sK1) ),
inference(superposition,[status(thm)],[c_4354,c_1741]) ).
tcf(c_4872,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,image3(X0,X1,sK1)))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4091,c_1257]) ).
tcf(c_4873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X0,X1,sK1),X3)
| member(sK4(image3(X0,X1,sK1),X3),X2)
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,sK1)),X2) ),
inference(superposition,[status(thm)],[c_4091,c_956]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),inverse_image3(sK0,sK2,image3(X0,X1,sK1)))
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4091,c_1015]) ).
tcf(c_4875,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| apply(sK0,sK4(image3(X0,X1,sK1),X2),sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) ),
inference(superposition,[status(thm)],[c_4091,c_1002]) ).
tcf(c_4876,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_4091,c_978]) ).
tcf(c_4877,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| member(sK4(image3(X0,X1,sK1),X2),image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4091,c_959]) ).
tcf(c_4931,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1617,c_4603]) ).
tcf(c_4932,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK2,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK1),sK1) ),
inference(superposition,[status(thm)],[c_4093,c_4603]) ).
tcf(c_4937,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK2,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4932,c_1177]) ).
tcf(c_4947,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK7(sK0,sK2,sK4(sK1,X1)),X0)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4197,c_54]) ).
tcf(c_4948,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK1,X0)),sK7(sK0,X1,sK7(sK0,sK2,sK4(sK1,X0))))
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4197,c_2212]) ).
tcf(c_4949,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| member(sK7(sK0,X1,sK7(sK0,sK2,sK4(sK1,X0))),X1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4197,c_2213]) ).
tcf(c_4950,plain,
! [X0: $i] :
( subset(sK1,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK1,X0)),sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))))
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4197,c_1743]) ).
tcf(c_4951,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))),sK2)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4197,c_1744]) ).
tcf(c_5010,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4092,c_1257]) ).
tcf(c_5011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X0,X1,sK1),X3)
| member(sK4(inverse_image3(X0,X1,sK1),X3),X2)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)),X2) ),
inference(superposition,[status(thm)],[c_4092,c_956]) ).
tcf(c_5012,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)))
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4092,c_1015]) ).
tcf(c_5013,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| apply(sK0,sK4(inverse_image3(X0,X1,sK1),X2),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) ),
inference(superposition,[status(thm)],[c_4092,c_1002]) ).
tcf(c_5014,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)),sK2) ),
inference(superposition,[status(thm)],[c_4092,c_978]) ).
tcf(c_5015,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| member(sK4(inverse_image3(X0,X1,sK1),X2),inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4092,c_959]) ).
tcf(c_5016,plain,
! [X0: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4092,c_1742]) ).
tcf(c_5046,plain,
! [X0: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))),sK1) ),
inference(superposition,[status(thm)],[c_5016,c_52]) ).
tcf(c_5047,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK1)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X0) ),
inference(superposition,[status(thm)],[c_5016,c_54]) ).
tcf(c_5050,plain,
! [X0: $i] :
( member(X0,inverse_image3(sK0,sK2,sK1))
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5016,c_63]) ).
tcf(c_5051,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X1,sK7(sK0,X0,X1))
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_5016,c_2212]) ).
tcf(c_5052,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X0,X1),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_5016,c_2213]) ).
tcf(c_5053,plain,
! [X0: $i] :
( apply(sK0,X0,sK7(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5016,c_1743]) ).
tcf(c_5054,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5016,c_1744]) ).
tcf(c_5055,plain,
! [X0: $i,X1: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5016,c_1119]) ).
tcf(c_5056,plain,
! [X0: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))),sK1) ),
inference(superposition,[status(thm)],[c_5016,c_1741]) ).
tcf(c_5093,plain,
! [X0: $i] :
( subset(X0,inverse_image3(sK0,sK2,sK1))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,sK1)),sK1) ),
inference(superposition,[status(thm)],[c_5050,c_52]) ).
tcf(c_5094,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5050,c_54]) ).
tcf(c_5102,plain,
! [X0: $i,X1: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5050,c_1119]) ).
tcf(c_5124,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,sK2,sK3))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_908,c_4478]) ).
tcf(c_5126,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ~ subset(sK2,sK1)
| ~ subset(sK3,X0) ),
inference(superposition,[status(thm)],[c_1617,c_4478]) ).
tcf(c_5127,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK3)))
| ~ subset(sK2,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK3),sK1) ),
inference(superposition,[status(thm)],[c_4093,c_4478]) ).
tcf(c_5147,plain,
! [X0: $i,X1: $i] :
( subset(sK3,inverse_image3(sK0,sK2,image3(X0,X1,sK1)))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_52]) ).
tcf(c_5148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,image3(X0,X1,sK1))
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,sK1)),X2) ),
inference(superposition,[status(thm)],[c_4872,c_54]) ).
tcf(c_5149,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| apply(sK0,sK4(sK3,X2),sK7(sK0,sK2,sK4(sK3,X2)))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_65]) ).
tcf(c_5150,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK4(sK3,X2)),sK2)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_64]) ).
tcf(c_5151,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),image3(X0,X1,sK1))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_63]) ).
tcf(c_5152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK4(sK3,X2),sK7(sK0,X3,sK4(sK3,X2)))
| ~ subset(sK2,X3)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_2212]) ).
tcf(c_5153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK7(sK0,X3,sK4(sK3,X2)),X3)
| ~ subset(sK2,X3)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_2213]) ).
tcf(c_5154,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| apply(sK0,sK4(sK3,X2),sK7(sK0,sK2,sK4(sK3,X2)))
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_1743]) ).
tcf(c_5155,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK4(sK3,X2)),sK2)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4872,c_1744]) ).
tcf(c_5156,plain,
! [X0: $i,X1: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,sK1))))
| ~ subset(sK2,image3(X0,X1,sK1))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,sK1)))),sK1) ),
inference(superposition,[status(thm)],[c_4872,c_1741]) ).
tcf(c_5278,plain,
! [X0: $i,X1: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_52]) ).
tcf(c_5279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,inverse_image3(X0,X1,sK1))
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)),X2) ),
inference(superposition,[status(thm)],[c_5010,c_54]) ).
tcf(c_5280,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| apply(sK0,sK4(sK3,X2),sK7(sK0,sK2,sK4(sK3,X2)))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_65]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK4(sK3,X2)),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_64]) ).
tcf(c_5282,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(X0,X1,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_63]) ).
tcf(c_5283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| apply(sK0,sK4(sK3,X2),sK7(sK0,X3,sK4(sK3,X2)))
| ~ subset(sK2,X3)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_2212]) ).
tcf(c_5284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| member(sK7(sK0,X3,sK4(sK3,X2)),X3)
| ~ subset(sK2,X3)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_2213]) ).
tcf(c_5285,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| apply(sK0,sK4(sK3,X2),sK7(sK0,sK2,sK4(sK3,X2)))
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_1743]) ).
tcf(c_5286,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK4(sK3,X2)),sK2)
| ~ member(sK4(sK3,X2),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5010,c_1744]) ).
tcf(c_5287,plain,
! [X0: $i,X1: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,sK1))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)))),sK1) ),
inference(superposition,[status(thm)],[c_5010,c_1741]) ).
tcf(c_5331,plain,
! [X0: $i] :
( apply(sK0,X0,sK7(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_4574,c_5053]) ).
tcf(c_5340,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1)
| ~ member(sK7(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_5331,c_313]) ).
tcf(c_5371,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,X0))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_908,c_4519]) ).
tcf(c_5373,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1617,c_4519]) ).
tcf(c_5374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_2972,c_4519]) ).
tcf(c_5375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_3408,c_4519]) ).
tcf(c_5376,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X0)))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4093,c_4519]) ).
tcf(c_5408,plain,
! [X0: $i,X1: $i] :
( member(sK6(sK0,X1,sK5(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_343,c_1808]) ).
tcf(c_5428,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK6(sK0,X0,sK5(sK0,sK2,X2)),X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5408,c_54]) ).
tcf(c_5429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK6(X1,X2,sK6(sK0,image3(X1,X2,X3),sK5(sK0,sK2,X0))),sK6(sK0,image3(X1,X2,X3),sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5408,c_61]) ).
tcf(c_5430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X1,X2,sK6(sK0,image3(X1,X2,X3),sK5(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5408,c_60]) ).
tcf(c_5431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,image3(X1,X2,X3),sK5(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5408,c_59]) ).
tcf(c_5432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK6(sK0,inverse_image3(X1,X2,X3),sK5(sK0,sK2,X0)),sK7(X1,X2,sK6(sK0,inverse_image3(X1,X2,X3),sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5408,c_65]) ).
tcf(c_5433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,sK6(sK0,inverse_image3(X1,X2,X3),sK5(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5408,c_64]) ).
tcf(c_5434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,inverse_image3(X1,X2,X3),sK5(sK0,sK2,X0)),X3)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5408,c_63]) ).
tcf(c_5435,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,X0,sK5(sK0,sK2,X1)),sK7(sK0,X2,sK6(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5408,c_2212]) ).
tcf(c_5436,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK6(sK0,X0,sK5(sK0,sK2,X1))),X2)
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5408,c_2213]) ).
tcf(c_5437,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,X0,sK5(sK0,sK2,X1)),sK7(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5408,c_1743]) ).
tcf(c_5438,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))),sK2)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5408,c_1744]) ).
tcf(c_5559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),inverse_image3(sK0,sK2,image3(X0,X1,X2)))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4094,c_1257]) ).
tcf(c_5560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,X2),X4)
| member(sK4(image3(X0,X1,X2),X4),X3)
| ~ subset(X2,sK1)
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_4094,c_956]) ).
tcf(c_5561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),inverse_image3(sK0,sK2,image3(X0,X1,X2)))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4094,c_1015]) ).
tcf(c_5562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| apply(sK0,sK4(image3(X1,X2,X0),X3),sK7(sK0,sK2,sK4(image3(X1,X2,X0),X3)))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4094,c_1002]) ).
tcf(c_5563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK7(sK0,sK2,sK4(image3(X1,X2,X0),X3)),sK2)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4094,c_978]) ).
tcf(c_5564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK4(image3(X1,X2,X0),X3),image3(X1,X2,X0))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4094,c_959]) ).
tcf(c_5638,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK1)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1617,c_5094]) ).
tcf(c_5664,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK7(sK0,sK2,sK4(sK1,X2)),X1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4947,c_54]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK6(X0,X1,sK7(sK0,sK2,sK4(sK1,X3))),sK7(sK0,sK2,sK4(sK1,X3)))
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4947,c_61]) ).
tcf(c_5666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK6(X0,X1,sK7(sK0,sK2,sK4(sK1,X3))),X1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4947,c_60]) ).
tcf(c_5667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),X2)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4947,c_59]) ).
tcf(c_5668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| apply(X0,sK7(sK0,sK2,sK4(sK1,X3)),sK7(X0,X1,sK7(sK0,sK2,sK4(sK1,X3))))
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4947,c_65]) ).
tcf(c_5669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(X0,X1,sK7(sK0,sK2,sK4(sK1,X3))),X1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4947,c_64]) ).
tcf(c_5670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),X2)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4947,c_63]) ).
tcf(c_5671,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK1,X0)),sK7(sK0,X2,sK7(sK0,sK2,sK4(sK1,X0))))
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4947,c_2212]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X0)
| member(sK7(sK0,X2,sK7(sK0,sK2,sK4(sK1,X0))),X2)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4947,c_2213]) ).
tcf(c_5673,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK1,X0)),sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))))
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4947,c_1743]) ).
tcf(c_5674,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))),sK2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4947,c_1744]) ).
tcf(c_5760,plain,
! [X0: $i,X1: $i] : subset(image3(X0,X1,sK1),inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_914,c_5093]) ).
tcf(c_5761,plain,
! [X0: $i,X1: $i] : subset(inverse_image3(X0,X1,sK1),inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_922,c_5093]) ).
tcf(c_5762,plain,
! [X0: $i] :
( subset(X0,inverse_image3(sK0,sK2,sK1))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_5093]) ).
tcf(c_5763,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X1,X2,X0),inverse_image3(sK0,sK2,sK1))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_5093]) ).
tcf(c_5764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,image3(X2,X3,sK1)),inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_1135,c_5093]) ).
tcf(c_5765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_1138,c_5093]) ).
tcf(c_5766,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X1,X2,X0),inverse_image3(sK0,sK2,sK1))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_5093]) ).
tcf(c_5767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_1181,c_5093]) ).
tcf(c_5768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),inverse_image3(sK0,sK2,sK1)),
inference(superposition,[status(thm)],[c_1184,c_5093]) ).
tcf(c_5785,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5340,c_5054,c_5340]) ).
tcf(c_5796,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,X0) = sK7(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_334,c_5785]) ).
tcf(c_5852,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5760,c_1257]) ).
tcf(c_5853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK1),X3)
| member(sK4(image3(X1,X2,sK1),X3),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5760,c_956]) ).
tcf(c_5854,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),inverse_image3(sK0,sK2,sK1))
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5760,c_1015]) ).
tcf(c_5857,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| member(sK4(image3(X0,X1,sK1),X2),sK1) ),
inference(superposition,[status(thm)],[c_5760,c_959]) ).
tcf(c_5894,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5761,c_1257]) ).
tcf(c_5895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,sK1),X3)
| member(sK4(inverse_image3(X1,X2,sK1),X3),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5761,c_956]) ).
tcf(c_5896,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),inverse_image3(sK0,sK2,sK1))
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5761,c_1015]) ).
tcf(c_5899,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| member(sK4(inverse_image3(X0,X1,sK1),X2),sK1) ),
inference(superposition,[status(thm)],[c_5761,c_959]) ).
tcf(c_5923,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X1),X0)
| ~ member(X1,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_5054,c_54]) ).
tcf(c_5924,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,X0),sK7(sK0,X1,sK7(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5054,c_2212]) ).
tcf(c_5925,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,X1,sK7(sK0,sK2,X0)),X1)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5054,c_2213]) ).
tcf(c_5926,plain,
! [X0: $i] :
( apply(sK0,sK7(sK0,sK2,X0),sK7(sK0,sK2,sK7(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5054,c_1743]) ).
tcf(c_5950,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_1257]) ).
tcf(c_5951,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X1,X2)
| member(sK4(X1,X2),X0)
| ~ subset(X1,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5762,c_956]) ).
tcf(c_5952,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X1),inverse_image3(sK0,sK2,sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_1015]) ).
tcf(c_5956,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_959]) ).
tcf(c_5963,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK1)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_1021]) ).
tcf(c_5964,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5762,c_4519]) ).
tcf(c_5965,plain,
! [X0: $i,X1: $i] :
( member(X1,inverse_image3(sK0,sK2,sK1))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(inverse_image3(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5762,c_1742]) ).
tcf(c_6031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,X0,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(X3,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_54]) ).
tcf(c_6032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK6(X1,X2,sK6(sK0,X0,sK5(sK0,sK2,X4))),sK6(sK0,X0,sK5(sK0,sK2,X4)))
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5428,c_61]) ).
tcf(c_6033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(X1,X2,sK6(sK0,X0,sK5(sK0,sK2,X4))),X2)
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5428,c_60]) ).
tcf(c_6034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,X0,sK5(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5428,c_59]) ).
tcf(c_6035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK6(sK0,X0,sK5(sK0,sK2,X4)),sK7(X1,X2,sK6(sK0,X0,sK5(sK0,sK2,X4))))
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5428,c_65]) ).
tcf(c_6036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK6(sK0,X0,sK5(sK0,sK2,X4))),X2)
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5428,c_64]) ).
tcf(c_6037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,X0,sK5(sK0,sK2,X4)),X3)
| ~ member(X4,sK1)
| ~ member(X4,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5428,c_63]) ).
tcf(c_6038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK6(sK0,X0,sK5(sK0,sK2,X1)),sK7(sK0,X3,sK6(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ subset(sK2,X3)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5428,c_2212]) ).
tcf(c_6039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X3,sK6(sK0,X0,sK5(sK0,sK2,X1))),X3)
| ~ member(X1,sK1)
| ~ subset(sK2,X3)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5428,c_2213]) ).
tcf(c_6040,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK6(sK0,X0,sK5(sK0,sK2,X1)),sK7(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ subset(X0,X2)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5428,c_1743]) ).
tcf(c_6145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,image3(X1,X2,X3),sK5(sK0,sK2,X0)),X4)
| ~ member(X0,sK1)
| ~ subset(X3,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5431,c_54]) ).
tcf(c_6146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X3,sK6(X3,X4,sK6(sK0,image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0))),sK6(sK0,image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5431,c_61]) ).
tcf(c_6147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X3,X4,sK6(sK0,image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5431,c_60]) ).
tcf(c_6148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0)),X5)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5431,c_59]) ).
tcf(c_6149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X3,sK6(sK0,image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0)),sK7(X3,X4,sK6(sK0,image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,inverse_image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5431,c_65]) ).
tcf(c_6150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X3,X4,sK6(sK0,image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,inverse_image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5431,c_64]) ).
tcf(c_6151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0)),X5)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,inverse_image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5431,c_63]) ).
tcf(c_6152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(sK0,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK7(sK0,X4,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_5431,c_2212]) ).
tcf(c_6153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X4,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),X4)
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_5431,c_2213]) ).
tcf(c_6154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK7(sK0,sK2,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_5431,c_1743]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(sK0,inverse_image3(X1,X2,X3),sK5(sK0,sK2,X0)),X4)
| ~ member(X0,sK1)
| ~ subset(X3,X4)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5434,c_54]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X3,sK6(X3,X4,sK6(sK0,inverse_image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0))),sK6(sK0,inverse_image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5434,c_61]) ).
tcf(c_6208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X3,X4,sK6(sK0,inverse_image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5434,c_60]) ).
tcf(c_6209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,inverse_image3(X1,X2,image3(X3,X4,X5)),sK5(sK0,sK2,X0)),X5)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5434,c_59]) ).
tcf(c_6210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X3,sK6(sK0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0)),sK7(X3,X4,sK6(sK0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5434,c_65]) ).
tcf(c_6211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X3,X4,sK6(sK0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5434,c_64]) ).
tcf(c_6212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(sK0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5)),sK5(sK0,sK2,X0)),X5)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,inverse_image3(X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_5434,c_63]) ).
tcf(c_6213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(sK0,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK7(sK0,X4,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ member(X3,inverse_image3(X0,X1,X2))
| ~ member(sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_5434,c_2212]) ).
tcf(c_6214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X4,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))),X4)
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ member(X3,inverse_image3(X0,X1,X2))
| ~ member(sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_5434,c_2213]) ).
tcf(c_6215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK7(sK0,sK2,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ member(X3,inverse_image3(X0,X1,X2))
| ~ member(sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_5434,c_1743]) ).
tcf(c_6333,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ subset(X1,X2)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_1942,c_54]) ).
tcf(c_6334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))),sK7(sK0,sK2,sK5(sK0,sK2,X3)))
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1942,c_61]) ).
tcf(c_6335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1942,c_60]) ).
tcf(c_6336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1942,c_59]) ).
tcf(c_6337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK2,sK5(sK0,sK2,X3)),sK7(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))))
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1942,c_65]) ).
tcf(c_6338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK2,sK5(sK0,sK2,X3))),X1)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1942,c_64]) ).
tcf(c_6339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,sK5(sK0,sK2,X3)),X2)
| ~ member(X3,sK1)
| ~ member(sK5(sK0,sK2,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1942,c_63]) ).
tcf(c_6340,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK7(sK0,X2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1942,c_2212]) ).
tcf(c_6341,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,sK2,sK5(sK0,sK2,X0))),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1942,c_2213]) ).
tcf(c_6342,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK7(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_1942,c_1743]) ).
tcf(c_6439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4095,c_1257]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X5)
| member(sK4(image3(X0,X1,image3(X2,X3,sK1)),X5),X4)
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_4095,c_956]) ).
tcf(c_6441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4095,c_1015]) ).
tcf(c_6442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| apply(sK0,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4),sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) ),
inference(superposition,[status(thm)],[c_4095,c_1002]) ).
tcf(c_6443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_4095,c_978]) ).
tcf(c_6444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK4(image3(X0,X1,image3(X2,X3,sK1)),X4),image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4095,c_959]) ).
tcf(c_6472,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5923,c_54]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,sK7(sK0,sK2,X3)),sK7(sK0,sK2,X3))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5923,c_61]) ).
tcf(c_6474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,sK7(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5923,c_60]) ).
tcf(c_6475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5923,c_59]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,sK2,X3),sK7(X0,X1,sK7(sK0,sK2,X3)))
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5923,c_65]) ).
tcf(c_6477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,sK2,X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5923,c_64]) ).
tcf(c_6478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5923,c_63]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,sK2,X0),sK7(sK0,X2,sK7(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5923,c_2212]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X2,sK7(sK0,sK2,X0)),X2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5923,c_2213]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK7(sK0,sK2,X0),sK7(sK0,sK2,sK7(sK0,sK2,X0)))
| ~ member(X0,sK1)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5923,c_1743]) ).
tcf(c_6562,plain,
! [X0: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))))
| ~ member(X0,sK1)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),sK1) ),
inference(superposition,[status(thm)],[c_4093,c_5047]) ).
tcf(c_6564,plain,
! [X0: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))))
| ~ member(X0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6562,c_3408]) ).
tcf(c_6578,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,X1,X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK7(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_5053,c_62]) ).
tcf(c_6579,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X0),image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK7(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_5053,c_58]) ).
tcf(c_6580,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,X0) = sK7(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK7(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_5053,c_888]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1)
| ~ member(sK7(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_5053,c_313]) ).
tcf(c_6601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5764,c_1257]) ).
tcf(c_6602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,image3(X3,X4,sK1)),X5)
| member(sK4(image3(X1,X2,image3(X3,X4,sK1)),X5),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5764,c_956]) ).
tcf(c_6603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5764,c_1015]) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK4(image3(X0,X1,image3(X2,X3,sK1)),X4),sK1) ),
inference(superposition,[status(thm)],[c_5764,c_959]) ).
tcf(c_6669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5765,c_1257]) ).
tcf(c_6670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,inverse_image3(X3,X4,sK1)),X5)
| member(sK4(image3(X1,X2,inverse_image3(X3,X4,sK1)),X5),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5765,c_956]) ).
tcf(c_6671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5765,c_1015]) ).
tcf(c_6672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| apply(sK0,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) ),
inference(superposition,[status(thm)],[c_5765,c_1002]) ).
tcf(c_6673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_5765,c_978]) ).
tcf(c_6674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),sK1) ),
inference(superposition,[status(thm)],[c_5765,c_959]) ).
tcf(c_6730,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_6581,c_5785]) ).
tcf(c_6740,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,X0) = sK7(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK2) ),
inference(superposition,[status(thm)],[c_334,c_6730]) ).
tcf(c_6747,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,X0) = sK7(sK0,sK2,X0) )
| ~ member(X0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_6740,c_343,c_5796]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2))) = sK7(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_945,c_6747]) ).
tcf(c_6759,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))) = sK7(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_977,c_6747]) ).
tcf(c_6761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))) = sK7(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1134,c_6747]) ).
tcf(c_6768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3))) = sK7(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1399,c_6747]) ).
tcf(c_6769,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_6747]) ).
tcf(c_6770,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_6747]) ).
tcf(c_6771,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4947,c_6747]) ).
tcf(c_6772,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_6747]) ).
tcf(c_6773,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_6747]) ).
tcf(c_6774,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_6747]) ).
tcf(c_6775,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_6747]) ).
tcf(c_6776,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,X0)) = sK7(sK0,sK2,sK7(sK0,sK2,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_6747]) ).
tcf(c_6841,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(sK1,X0))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_53,c_2407]) ).
tcf(c_6842,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_914,c_2407]) ).
tcf(c_6843,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_922,c_2407]) ).
tcf(c_6844,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(X0,X1))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_2407]) ).
tcf(c_6845,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK5(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_933,c_2407]) ).
tcf(c_6846,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_945,c_2407]) ).
tcf(c_6847,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_977,c_2407]) ).
tcf(c_6848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_2407]) ).
tcf(c_6849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1134,c_2407]) ).
tcf(c_6850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1135,c_2407]) ).
tcf(c_6851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1138,c_2407]) ).
tcf(c_6852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_2407]) ).
tcf(c_6853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1181,c_2407]) ).
tcf(c_6854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1184,c_2407]) ).
tcf(c_6855,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(sK3,X0))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_2407]) ).
tcf(c_6856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1399,c_2407]) ).
tcf(c_6857,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_2407]) ).
tcf(c_6858,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_2407]) ).
tcf(c_6859,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4947,c_2407]) ).
tcf(c_6860,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_2407]) ).
tcf(c_6861,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_2407]) ).
tcf(c_6862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_2407]) ).
tcf(c_6863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_2407]) ).
tcf(c_6864,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,X0))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_2407]) ).
tcf(c_7044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,X2,X3))
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK4(sK3,X1),X3)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_3300,c_62]) ).
tcf(c_7045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X1)
| member(sK7(sK0,X0,sK4(sK3,X1)),image3(sK0,X3,X2))
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK4(sK3,X1),X3)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),X2) ),
inference(superposition,[status(thm)],[c_3300,c_58]) ).
tcf(c_7046,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| ( sK7(sK0,X0,sK4(sK3,X1)) = sK7(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3300,c_6730]) ).
tcf(c_7047,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| ( sK7(sK0,X0,sK4(sK3,X1)) = sK5(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3300,c_888]) ).
tcf(c_7048,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X1)
| ( sK7(sK0,X0,sK4(sK3,X1)) = X2 )
| ~ member(X2,sK2)
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ apply(sK0,sK4(sK3,X1),X2)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3300,c_313]) ).
tcf(c_7049,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| ( sK7(sK0,X0,sK4(sK3,X1)) = sK7(sK0,sK2,sK4(sK3,X1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ member(sK4(sK3,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK3,X1)),sK2) ),
inference(superposition,[status(thm)],[c_3300,c_4719]) ).
tcf(c_7104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4096,c_1257]) ).
tcf(c_7105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X5)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X5),X4)
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_4096,c_956]) ).
tcf(c_7106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4096,c_1015]) ).
tcf(c_7109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4096,c_959]) ).
tcf(c_7146,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,X0),sK2)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_6478]) ).
tcf(c_7147,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,X0),sK1)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_6478]) ).
tcf(c_7212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5767,c_1257]) ).
tcf(c_7213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,image3(X3,X4,sK1)),X5)
| member(sK4(inverse_image3(X1,X2,image3(X3,X4,sK1)),X5),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5767,c_956]) ).
tcf(c_7214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5767,c_1015]) ).
tcf(c_7215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| apply(sK0,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) ),
inference(superposition,[status(thm)],[c_5767,c_1002]) ).
tcf(c_7216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_5767,c_978]) ).
tcf(c_7217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4),sK1) ),
inference(superposition,[status(thm)],[c_5767,c_959]) ).
tcf(c_7218,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5767,c_4519]) ).
tcf(c_7291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5768,c_1257]) ).
tcf(c_7292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X1,X2,inverse_image3(X3,X4,sK1)),X5)
| member(sK4(inverse_image3(X1,X2,inverse_image3(X3,X4,sK1)),X5),X0)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5768,c_956]) ).
tcf(c_7293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5768,c_1015]) ).
tcf(c_7294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| apply(sK0,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) ),
inference(superposition,[status(thm)],[c_5768,c_1002]) ).
tcf(c_7295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)),sK2) ),
inference(superposition,[status(thm)],[c_5768,c_978]) ).
tcf(c_7296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),sK1) ),
inference(superposition,[status(thm)],[c_5768,c_959]) ).
tcf(c_7297,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5768,c_4519]) ).
tcf(c_7329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),inverse_image3(sK0,sK2,sK1))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5763,c_1257]) ).
tcf(c_7330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,X1),X4)
| member(sK4(image3(X2,X3,X1),X4),X0)
| ~ subset(X1,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5763,c_956]) ).
tcf(c_7331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),inverse_image3(sK0,sK2,sK1))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5763,c_1015]) ).
tcf(c_7334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK4(image3(X1,X2,X0),X3),sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5763,c_959]) ).
tcf(c_7367,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK2,sK2)
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_4364,c_7048]) ).
tcf(c_7368,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK2,sK2)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_3223,c_7048]) ).
tcf(c_7371,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK2,sK1)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7367,c_908]) ).
tcf(c_7407,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1))
| ~ member(sK4(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1)),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1)),X1)
| ~ member(sK5(sK0,sK2,sK4(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1))),sK1) ),
inference(superposition,[status(thm)],[c_5102,c_52]) ).
tcf(c_7408,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK5(sK0,sK2,X2),sK1)
| ~ subset(inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X0),X1) ),
inference(superposition,[status(thm)],[c_5102,c_54]) ).
tcf(c_7409,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK7(sK0,inverse_image3(sK0,sK2,sK1),X0))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5102,c_65]) ).
tcf(c_7410,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,inverse_image3(sK0,sK2,sK1),X0),inverse_image3(sK0,sK2,sK1))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5102,c_64]) ).
tcf(c_7414,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1),X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1)
| ~ member(sK5(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_5102,c_1119]) ).
tcf(c_7415,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1)))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1))),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1))),X1)
| ~ member(sK5(sK0,sK2,sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,sK1),X1)))),sK1) ),
inference(superposition,[status(thm)],[c_5102,c_1741]) ).
tcf(c_7549,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_914,c_6776]) ).
tcf(c_7550,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_922,c_6776]) ).
tcf(c_7551,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_6776]) ).
tcf(c_7552,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK7(sK0,sK2,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_933,c_6776]) ).
tcf(c_7553,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_945,c_6776]) ).
tcf(c_7554,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_977,c_6776]) ).
tcf(c_7555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(image3(X1,X2,X0),X3))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_6776]) ).
tcf(c_7556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1134,c_6776]) ).
tcf(c_7557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1135,c_6776]) ).
tcf(c_7558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1138,c_6776]) ).
tcf(c_7559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_6776]) ).
tcf(c_7560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1181,c_6776]) ).
tcf(c_7561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1184,c_6776]) ).
tcf(c_7562,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_6776]) ).
tcf(c_7563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1399,c_6776]) ).
tcf(c_7564,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_2555,c_6776]) ).
tcf(c_7565,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_3223,c_6776]) ).
tcf(c_7566,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4947,c_6776]) ).
tcf(c_7567,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_6776]) ).
tcf(c_7568,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_6776]) ).
tcf(c_7569,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_6776]) ).
tcf(c_7570,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_6776]) ).
tcf(c_7571,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,X0))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_6776]) ).
tcf(c_7717,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,inverse_image3(sK0,sK2,image3(X0,X1,X2)))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5559,c_52]) ).
tcf(c_7718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X3)
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2))
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_5559,c_54]) ).
tcf(c_7719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(sK0,sK4(sK3,X3),sK7(sK0,sK2,sK4(sK3,X3)))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5559,c_65]) ).
tcf(c_7720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK2,sK4(sK3,X3)),sK2)
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5559,c_64]) ).
tcf(c_7721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),image3(X0,X1,X2))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5559,c_63]) ).
tcf(c_7722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| apply(sK0,sK4(sK3,X3),sK7(sK0,X4,sK4(sK3,X3)))
| ~ subset(sK2,X4)
| ~ subset(X2,sK1)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5559,c_2212]) ).
tcf(c_7723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| member(sK7(sK0,X4,sK4(sK3,X3)),X4)
| ~ subset(sK2,X4)
| ~ subset(X2,sK1)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5559,c_2213]) ).
tcf(c_7724,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,X2))))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,X2)))),sK1) ),
inference(superposition,[status(thm)],[c_5559,c_1741]) ).
tcf(c_7772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4097,c_1257]) ).
tcf(c_7773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,X2),X4)
| member(sK4(inverse_image3(X0,X1,X2),X4),X3)
| ~ subset(X2,sK1)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_4097,c_956]) ).
tcf(c_7774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4097,c_1015]) ).
tcf(c_7775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| apply(sK0,sK4(inverse_image3(X1,X2,X0),X3),sK7(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_1002]) ).
tcf(c_7776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| member(sK7(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)),sK2)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_978]) ).
tcf(c_7777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| member(sK4(inverse_image3(X1,X2,X0),X3),inverse_image3(X1,X2,X0))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_959]) ).
tcf(c_7778,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X0)))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_4519]) ).
tcf(c_7779,plain,
! [X0: $i,X1: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,X1)))
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_4097,c_1742]) ).
tcf(c_7780,plain,
! [X0: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_5094]) ).
tcf(c_7782,plain,
! [X0: $i] :
( subset(sK3,X0)
| member(sK4(sK3,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK3)))
| ~ subset(sK2,sK1)
| ~ subset(sK3,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_4478]) ).
tcf(c_7940,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK4(sK1,X0)),sK1)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_5670]) ).
tcf(c_7957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1541,c_6472]) ).
tcf(c_7958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1617,c_6472]) ).
tcf(c_7959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2131,c_6472]) ).
tcf(c_7960,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK4(sK1,X1)) = sK7(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3654,c_6472]) ).
tcf(c_7961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2877,c_6472]) ).
tcf(c_7962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2972,c_6472]) ).
tcf(c_7963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,sK2,X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3408,c_6472]) ).
tcf(c_7964,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X1),inverse_image3(sK0,sK2,X0))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_6472]) ).
tcf(c_7968,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,X0),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4090,c_6472]) ).
tcf(c_7969,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X2),inverse_image3(sK0,sK2,image3(X0,X1,sK1)))
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4091,c_6472]) ).
tcf(c_7970,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X2),inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)))
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4092,c_6472]) ).
tcf(c_7971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),inverse_image3(sK0,sK2,image3(X0,X1,X2)))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4094,c_6472]) ).
tcf(c_7972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4095,c_6472]) ).
tcf(c_7973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4096,c_6472]) ).
tcf(c_7974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4097,c_6472]) ).
tcf(c_7978,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,sK2,X1),inverse_image3(sK0,sK2,sK1))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_6472]) ).
tcf(c_7981,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X2),inverse_image3(sK0,sK2,sK1))
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5760,c_6472]) ).
tcf(c_7982,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,sK2,X2),inverse_image3(sK0,sK2,sK1))
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5761,c_6472]) ).
tcf(c_7983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),inverse_image3(sK0,sK2,sK1))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5763,c_6472]) ).
tcf(c_7984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5764,c_6472]) ).
tcf(c_7985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5765,c_6472]) ).
tcf(c_7986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5767,c_6472]) ).
tcf(c_7987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,sK1))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5768,c_6472]) ).
tcf(c_8144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),inverse_image3(sK0,sK2,sK1))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5766,c_6472]) ).
tcf(c_8145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),inverse_image3(sK0,sK2,sK1))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5766,c_1257]) ).
tcf(c_8146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,X1),X4)
| member(sK4(inverse_image3(X2,X3,X1),X4),X0)
| ~ subset(X1,sK1)
| ~ subset(inverse_image3(sK0,sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_5766,c_956]) ).
tcf(c_8147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),inverse_image3(sK0,sK2,sK1))
| ~ member(X3,sK1)
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5766,c_1015]) ).
tcf(c_8150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| member(sK4(inverse_image3(X1,X2,X0),X3),sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5766,c_959]) ).
tcf(c_8151,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5766,c_4519]) ).
tcf(c_8153,plain,
! [X0: $i] :
( member(X0,inverse_image3(sK0,sK2,sK1))
| ~ subset(sK1,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5766,c_5094]) ).
tcf(c_8251,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X0)
| member(sK4(sK1,X0),inverse_image3(sK0,X1,X2))
| ~ member(sK4(sK1,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_4234,c_62]) ).
tcf(c_8252,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK4(sK1,X0)),image3(sK0,X2,X1))
| ~ member(sK4(sK1,X0),X2)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),X1) ),
inference(superposition,[status(thm)],[c_4234,c_58]) ).
tcf(c_8255,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| ( sK7(sK0,sK2,sK4(sK1,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(sK4(sK1,X0),sK1)
| ~ apply(sK0,sK4(sK1,X0),X1)
| ~ member(sK7(sK0,sK2,sK4(sK1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_4234,c_313]) ).
tcf(c_8281,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK7(sK0,X0,X2),X1)
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_5052,c_54]) ).
tcf(c_8282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK6(X0,X1,sK7(sK0,image3(X0,X1,X2),X3)),sK7(sK0,image3(X0,X1,X2),X3))
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5052,c_61]) ).
tcf(c_8283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X0,X1,sK7(sK0,image3(X0,X1,X2),X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5052,c_60]) ).
tcf(c_8284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(X0,X1,X2),X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5052,c_59]) ).
tcf(c_8285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,sK7(sK0,inverse_image3(X0,X1,X2),X3),sK7(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),X3)))
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5052,c_65]) ).
tcf(c_8286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X0,X1,sK7(sK0,inverse_image3(X0,X1,X2),X3)),X1)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5052,c_64]) ).
tcf(c_8287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5052,c_63]) ).
tcf(c_8288,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(sK0,sK7(sK0,X0,X1),sK7(sK0,X2,sK7(sK0,X0,X1)))
| ~ member(X1,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_5052,c_2212]) ).
tcf(c_8289,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK1,X0))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5052,c_6776]) ).
tcf(c_8290,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,X0))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5052,c_2407]) ).
tcf(c_8291,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,X0)) = sK7(sK0,sK2,sK7(sK0,sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5052,c_6747]) ).
tcf(c_8340,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| ( sK7(sK0,sK2,sK4(sK1,X0)) = X1 )
| ~ member(X1,sK2)
| ~ apply(sK0,sK4(sK1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_8255,c_4198,c_4197,c_8255]) ).
tcf(c_8370,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK1,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK1,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_53,c_8291]) ).
tcf(c_8371,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_914,c_8291]) ).
tcf(c_8372,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_922,c_8291]) ).
tcf(c_8373,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_8291]) ).
tcf(c_8374,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_933,c_8291]) ).
tcf(c_8375,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_945,c_8291]) ).
tcf(c_8376,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_977,c_8291]) ).
tcf(c_8377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X1,X2,X0),X3))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_8291]) ).
tcf(c_8378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1134,c_8291]) ).
tcf(c_8379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1135,c_8291]) ).
tcf(c_8380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1138,c_8291]) ).
tcf(c_8381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X1,X2,X0),X3))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_8291]) ).
tcf(c_8382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1181,c_8291]) ).
tcf(c_8383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1184,c_8291]) ).
tcf(c_8384,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_8291]) ).
tcf(c_8385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(X1,X0,sK4(image3(X1,X0,X2),X3)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(X1,X0,sK4(image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1399,c_8291]) ).
tcf(c_8386,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK1,X0)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK1,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4947,c_8291]) ).
tcf(c_8387,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK1,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5052,c_8291]) ).
tcf(c_8388,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,sK1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_8291]) ).
tcf(c_8389,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,X1,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,X1,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_8291]) ).
tcf(c_8390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_8291]) ).
tcf(c_8391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_8291]) ).
tcf(c_8392,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,X0))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_8291]) ).
tcf(c_8615,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7772,c_52]) ).
tcf(c_8616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),X3)
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2))
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)),X3) ),
inference(superposition,[status(thm)],[c_7772,c_54]) ).
tcf(c_8617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(sK0,sK4(sK3,X3),sK7(sK0,sK2,sK4(sK3,X3)))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7772,c_65]) ).
tcf(c_8618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK2,sK4(sK3,X3)),sK2)
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7772,c_64]) ).
tcf(c_8619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),inverse_image3(X0,X1,X2))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7772,c_63]) ).
tcf(c_8620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X3)
| apply(sK0,sK4(sK3,X3),sK7(sK0,X4,sK4(sK3,X3)))
| ~ subset(sK2,X4)
| ~ subset(X2,sK1)
| ~ member(sK4(sK3,X3),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7772,c_2212]) ).
tcf(c_8621,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2))))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)))),sK1) ),
inference(superposition,[status(thm)],[c_7772,c_1741]) ).
tcf(c_8748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3655,c_6472]) ).
tcf(c_8749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3655,c_1257]) ).
tcf(c_8750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK1),X4)
| member(sK4(image3(X2,X3,sK1),X4),X1)
| ( sK5(sK0,sK2,sK4(image3(X2,X3,sK1),X0)) = sK7(sK0,sK2,sK4(image3(X2,X3,sK1),X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3655,c_956]) ).
tcf(c_8751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3655,c_1015]) ).
tcf(c_8752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| apply(X2,sK6(X2,X3,sK4(image3(X0,X1,sK1),X5)),sK4(image3(X0,X1,sK1),X5))
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_990]) ).
tcf(c_8753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| member(sK6(X2,X3,sK4(image3(X0,X1,sK1),X5)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_957]) ).
tcf(c_8754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| member(sK4(image3(X0,X1,sK1),X5),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_958]) ).
tcf(c_8755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| apply(X2,sK4(image3(X0,X1,sK1),X5),sK7(X2,X3,sK4(image3(X0,X1,sK1),X5)))
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_1002]) ).
tcf(c_8756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| member(sK7(X2,X3,sK4(image3(X0,X1,sK1),X5)),X3)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_978]) ).
tcf(c_8757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X0,X1,sK1),X5)
| member(sK4(image3(X0,X1,sK1),X5),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_959]) ).
tcf(c_8758,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),sK1)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),sK1)) )
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_3655,c_3657]) ).
tcf(c_8859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X3)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3656,c_6472]) ).
tcf(c_8860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) )
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3656,c_1257]) ).
tcf(c_8861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X2,X3,sK1),X4)
| member(sK4(inverse_image3(X2,X3,sK1),X4),X1)
| ( sK5(sK0,sK2,sK4(inverse_image3(X2,X3,sK1),X0)) = sK7(sK0,sK2,sK4(inverse_image3(X2,X3,sK1),X0)) )
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3656,c_956]) ).
tcf(c_8862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X2),X3)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X3)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X3)) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3656,c_1015]) ).
tcf(c_8863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK1),X5)
| apply(X2,sK6(X2,X3,sK4(inverse_image3(X0,X1,sK1),X5)),sK4(inverse_image3(X0,X1,sK1),X5))
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_990]) ).
tcf(c_8864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK1),X5)
| member(sK6(X2,X3,sK4(inverse_image3(X0,X1,sK1),X5)),X3)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_957]) ).
tcf(c_8865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK1),X5)
| member(sK4(inverse_image3(X0,X1,sK1),X5),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_958]) ).
tcf(c_8866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK1),X5)
| apply(X2,sK4(inverse_image3(X0,X1,sK1),X5),sK7(X2,X3,sK4(inverse_image3(X0,X1,sK1),X5)))
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_1002]) ).
tcf(c_8867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK1),X5)
| member(sK7(X2,X3,sK4(inverse_image3(X0,X1,sK1),X5)),X3)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_978]) ).
tcf(c_8868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,sK1),X5)
| member(sK4(inverse_image3(X0,X1,sK1),X5),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_959]) ).
tcf(c_8871,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),sK1)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),sK1)) )
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_3656,c_3657]) ).
tcf(c_8872,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ( sK5(sK0,sK2,sK4(inverse_image3(sK0,sK2,sK1),X1)) = sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,sK1),X1)) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_3656,c_5094]) ).
tcf(c_8873,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X1)
| member(sK4(sK3,X1),X0)
| ( sK5(sK0,sK2,sK4(inverse_image3(sK0,sK2,sK1),X0)) = sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,sK1),X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3656,c_4603]) ).
tcf(c_8974,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_52]) ).
tcf(c_8975,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),X1)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_3760,c_54]) ).
tcf(c_8976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK6(X0,X1,sK4(sK3,X3)),sK4(sK3,X3))
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_61]) ).
tcf(c_8977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK6(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_60]) ).
tcf(c_8978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_59]) ).
tcf(c_8979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK4(sK3,X3),sK7(X0,X1,sK4(sK3,X3)))
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_65]) ).
tcf(c_8980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK4(sK3,X3)),X1)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_64]) ).
tcf(c_8981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_63]) ).
tcf(c_8982,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK4(sK3,X0),sK7(sK0,X1,sK4(sK3,X0)))
| ( sK5(sK0,sK2,sK4(sK1,X2)) = sK7(sK0,sK2,sK4(sK1,X2)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,X1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_3760,c_2212]) ).
tcf(c_8983,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_8291]) ).
tcf(c_8984,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_6776]) ).
tcf(c_8985,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(sK3,X0))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_2407]) ).
tcf(c_8986,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_6747]) ).
tcf(c_8987,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,X0))
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_3760,c_1741]) ).
tcf(c_8988,plain,
( subset(sK3,inverse_image3(sK0,sK2,sK3))
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_3949]) ).
tcf(c_8989,plain,
! [X0: $i] :
( subset(sK3,inverse_image3(sK0,sK2,X0))
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_3760,c_3960]) ).
tcf(c_8990,plain,
( subset(sK3,inverse_image3(sK0,sK2,sK1))
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_5093]) ).
tcf(c_10375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4098,c_6472]) ).
tcf(c_10376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4098,c_1257]) ).
tcf(c_10377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X5)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X5),X4)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_4098,c_956]) ).
tcf(c_10378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4098,c_1015]) ).
tcf(c_10381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4),inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4098,c_959]) ).
tcf(c_10382,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,sK1))))
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4098,c_4519]) ).
tcf(c_10383,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X1,X2,sK1))))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_4098,c_1742]) ).
tcf(c_10420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,X3),X2)
| ~ member(X3,sK1)
| ~ subset(sK2,X0)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_8281,c_54]) ).
tcf(c_10421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK6(X1,X2,sK7(sK0,X0,X4)),sK7(sK0,X0,X4))
| ~ member(X4,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_8281,c_61]) ).
tcf(c_10422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(X1,X2,sK7(sK0,X0,X4)),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_8281,c_60]) ).
tcf(c_10423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X0,X4),X3)
| ~ member(X4,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_8281,c_59]) ).
tcf(c_10424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(X1,sK7(sK0,X0,X4),sK7(X1,X2,sK7(sK0,X0,X4)))
| ~ member(X4,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_8281,c_65]) ).
tcf(c_10425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK7(sK0,X0,X4)),X2)
| ~ member(X4,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_8281,c_64]) ).
tcf(c_10426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,X0,X4),X3)
| ~ member(X4,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_8281,c_63]) ).
tcf(c_10427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,sK7(sK0,X0,X1),sK7(sK0,X3,sK7(sK0,X0,X1)))
| ~ member(X1,sK1)
| ~ subset(sK2,X3)
| ~ subset(sK2,X0)
| ~ subset(X0,X2)
| ~ member(sK7(sK0,X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_8281,c_2212]) ).
tcf(c_10428,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,X0,X1))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_8281,c_8291]) ).
tcf(c_10429,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,X0,X1))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_8281,c_6776]) ).
tcf(c_10430,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,X0,X1))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,X0,X1))) )
| ~ subset(sK2,sK1)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_8281,c_2407]) ).
tcf(c_10431,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK7(sK0,X0,X1)) = sK7(sK0,sK2,sK7(sK0,X0,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_8281,c_6747]) ).
tcf(c_10432,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X2,sK5(sK0,sK2,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(X2,sK2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ apply(sK0,sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_8281,c_3243]) ).
tcf(c_10433,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| ( sK7(sK0,X2,sK4(sK3,X0)) = X1 )
| ~ member(X1,sK2)
| ~ subset(sK2,X2)
| ~ subset(X2,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_8281,c_7048]) ).
tcf(c_10561,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK7(sK0,sK2,sK4(sK3,X2)),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_4649,c_54]) ).
tcf(c_10562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK6(X0,X1,sK7(sK0,sK2,sK4(sK3,X3))),sK7(sK0,sK2,sK4(sK3,X3)))
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4649,c_61]) ).
tcf(c_10563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK6(X0,X1,sK7(sK0,sK2,sK4(sK3,X3))),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4649,c_60]) ).
tcf(c_10564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK2,sK4(sK3,X3)),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4649,c_59]) ).
tcf(c_10565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| apply(X0,sK7(sK0,sK2,sK4(sK3,X3)),sK7(X0,X1,sK7(sK0,sK2,sK4(sK3,X3))))
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4649,c_65]) ).
tcf(c_10566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(X0,X1,sK7(sK0,sK2,sK4(sK3,X3))),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4649,c_64]) ).
tcf(c_10567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK7(sK0,sK2,sK4(sK3,X3)),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4649,c_63]) ).
tcf(c_10568,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X0)
| apply(sK0,sK7(sK0,sK2,sK4(sK3,X0)),sK7(sK0,X2,sK7(sK0,sK2,sK4(sK3,X0))))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,X1)
| ~ member(sK7(sK0,sK2,sK4(sK3,X0)),sK1) ),
inference(superposition,[status(thm)],[c_4649,c_2212]) ).
tcf(c_10569,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4649,c_8291]) ).
tcf(c_10570,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4649,c_6776]) ).
tcf(c_10571,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4649,c_2407]) ).
tcf(c_10661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1541,c_5664]) ).
tcf(c_10662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),X3)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_1617,c_5664]) ).
tcf(c_10663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK1,X5)
| member(sK7(sK0,sK2,sK4(sK1,X5)),X4)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2131,c_5664]) ).
tcf(c_10664,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK7(sK0,sK2,sK4(sK1,X1)),X0)
| ( sK5(sK0,sK2,sK4(sK1,X0)) = sK7(sK0,sK2,sK4(sK1,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3654,c_5664]) ).
tcf(c_10665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK1,X5)
| member(sK7(sK0,sK2,sK4(sK1,X5)),X4)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2877,c_5664]) ).
tcf(c_10666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK1,X5)
| member(sK7(sK0,sK2,sK4(sK1,X5)),X4)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_2972,c_5664]) ).
tcf(c_10667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK1,X5)
| member(sK7(sK0,sK2,sK4(sK1,X5)),X4)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_3408,c_5664]) ).
tcf(c_10668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) )
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3655,c_5664]) ).
tcf(c_10669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),X2)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) )
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_3656,c_5664]) ).
tcf(c_10670,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK7(sK0,sK2,sK4(sK1,X1)),inverse_image3(sK0,sK2,X0))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_5664]) ).
tcf(c_10674,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK4(sK1,X0)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4090,c_5664]) ).
tcf(c_10675,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK7(sK0,sK2,sK4(sK1,X2)),inverse_image3(sK0,sK2,image3(X0,X1,sK1)))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4091,c_5664]) ).
tcf(c_10676,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK7(sK0,sK2,sK4(sK1,X2)),inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1)))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4092,c_5664]) ).
tcf(c_10677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),inverse_image3(sK0,sK2,image3(X0,X1,X2)))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4094,c_5664]) ).
tcf(c_10678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4095,c_5664]) ).
tcf(c_10679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4096,c_5664]) ).
tcf(c_10680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),inverse_image3(sK0,sK2,inverse_image3(X0,X1,X2)))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_4097,c_5664]) ).
tcf(c_10681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4098,c_5664]) ).
tcf(c_10685,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK7(sK0,sK2,sK4(sK1,X1)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5762,c_5664]) ).
tcf(c_10688,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK7(sK0,sK2,sK4(sK1,X2)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5760,c_5664]) ).
tcf(c_10689,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK1,X2)
| member(sK7(sK0,sK2,sK4(sK1,X2)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5761,c_5664]) ).
tcf(c_10690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),inverse_image3(sK0,sK2,sK1))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5763,c_5664]) ).
tcf(c_10691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5764,c_5664]) ).
tcf(c_10692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5765,c_5664]) ).
tcf(c_10693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),inverse_image3(sK0,sK2,sK1))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_5766,c_5664]) ).
tcf(c_10694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5767,c_5664]) ).
tcf(c_10695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_5768,c_5664]) ).
tcf(c_11060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK6(X1,X2,sK6(sK0,image3(X1,X2,X3),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ subset(X2,X4)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5430,c_54]) ).
tcf(c_11061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK6(X2,X3,sK6(X1,image3(X2,X3,X4),sK6(sK0,image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))),sK6(X1,image3(X2,X3,X4),sK6(sK0,image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5430,c_61]) ).
tcf(c_11062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X2,X3,sK6(X1,image3(X2,X3,X4),sK6(sK0,image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5430,c_60]) ).
tcf(c_11063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X1,image3(X2,X3,X4),sK6(sK0,image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5430,c_59]) ).
tcf(c_11064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK6(X1,inverse_image3(X2,X3,X4),sK6(sK0,image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))),sK7(X2,X3,sK6(X1,inverse_image3(X2,X3,X4),sK6(sK0,image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))))
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,inverse_image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5430,c_65]) ).
tcf(c_11065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X2,X3,sK6(X1,inverse_image3(X2,X3,X4),sK6(sK0,image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))),X3)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,inverse_image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5430,c_64]) ).
tcf(c_11066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X1,inverse_image3(X2,X3,X4),sK6(sK0,image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,inverse_image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5430,c_63]) ).
tcf(c_11067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(sK0,sK6(X0,X1,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),sK7(sK0,X4,sK6(X0,X1,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3)))))
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ member(X3,image3(X0,X1,X2))
| ~ member(sK6(X0,X1,sK6(sK0,image3(X0,X1,X2),sK5(sK0,sK2,X3))),sK1) ),
inference(superposition,[status(thm)],[c_5430,c_2212]) ).
tcf(c_11068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK7(sK0,sK1,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5430,c_8291]) ).
tcf(c_11069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK7(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5430,c_6776]) ).
tcf(c_11070,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5430,c_2407]) ).
tcf(c_11071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5430,c_6747]) ).
tcf(c_11230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(X1,X2,sK6(sK0,inverse_image3(X1,X2,X3),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ subset(X2,X4)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_5433,c_54]) ).
tcf(c_11231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK6(X2,X3,sK7(X1,image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))),sK7(X1,image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))))
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5433,c_61]) ).
tcf(c_11232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X2,X3,sK7(X1,image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))),X3)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5433,c_60]) ).
tcf(c_11233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X1,image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5433,c_59]) ).
tcf(c_11234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK7(X1,inverse_image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))),sK7(X2,X3,sK7(X1,inverse_image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))))
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5433,c_65]) ).
tcf(c_11235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X2,X3,sK7(X1,inverse_image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0)))),X3)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5433,c_64]) ).
tcf(c_11236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X1,inverse_image3(X2,X3,X4),sK6(sK0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5),sK5(sK0,sK2,X0))),X4)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,inverse_image3(X2,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_5433,c_63]) ).
tcf(c_11237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(sK0,sK7(X0,X1,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))),sK7(sK0,X4,sK7(X0,X1,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3)))))
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ member(X3,inverse_image3(X0,X1,X2))
| ~ member(sK7(X0,X1,sK6(sK0,inverse_image3(X0,X1,X2),sK5(sK0,sK2,X3))),sK1) ),
inference(superposition,[status(thm)],[c_5433,c_2212]) ).
tcf(c_11238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5433,c_8291]) ).
tcf(c_11239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5433,c_6776]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0))))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5433,c_2407]) ).
tcf(c_11241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5433,c_6747]) ).
tcf(c_11299,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) ) ),
inference(superposition,[status(thm)],[c_53,c_6772]) ).
tcf(c_11300,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_914,c_6772]) ).
tcf(c_11301,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) ) ),
inference(superposition,[status(thm)],[c_922,c_6772]) ).
tcf(c_11302,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_6772]) ).
tcf(c_11303,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_933,c_6772]) ).
tcf(c_11304,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_945,c_6772]) ).
tcf(c_11305,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) ) ),
inference(superposition,[status(thm)],[c_977,c_6772]) ).
tcf(c_11306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_6772]) ).
tcf(c_11307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) ) ),
inference(superposition,[status(thm)],[c_1134,c_6772]) ).
tcf(c_11308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1135,c_6772]) ).
tcf(c_11309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1138,c_6772]) ).
tcf(c_11310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_6772]) ).
tcf(c_11311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1181,c_6772]) ).
tcf(c_11312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) ) ),
inference(superposition,[status(thm)],[c_1184,c_6772]) ).
tcf(c_11313,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_6772]) ).
tcf(c_11314,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_6772]) ).
tcf(c_11315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1399,c_6772]) ).
tcf(c_11316,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4649,c_6772]) ).
tcf(c_11317,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4947,c_6772]) ).
tcf(c_11318,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5052,c_6772]) ).
tcf(c_11319,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_6772]) ).
tcf(c_11320,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_6772]) ).
tcf(c_11321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0)))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0)))))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5430,c_6772]) ).
tcf(c_11322,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_6772]) ).
tcf(c_11323,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0)))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0)))))) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5433,c_6772]) ).
tcf(c_11324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))))) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_6772]) ).
tcf(c_11325,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,X0)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,X0)))) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_6772]) ).
tcf(c_11326,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,X1)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,X1)))) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_8281,c_6772]) ).
tcf(c_11542,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1))
| ~ member(sK4(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1)),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1)),X1)
| ~ member(sK5(sK0,sK2,sK4(X0,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1))),sK1) ),
inference(superposition,[status(thm)],[c_5055,c_52]) ).
tcf(c_11543,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK5(sK0,sK2,X2),sK1)
| ~ subset(inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X0),X1) ),
inference(superposition,[status(thm)],[c_5055,c_54]) ).
tcf(c_11544,plain,
! [X0: $i,X1: $i] :
( apply(sK0,X0,sK7(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X0))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5055,c_65]) ).
tcf(c_11545,plain,
! [X0: $i,X1: $i] :
( member(sK7(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5055,c_64]) ).
tcf(c_11548,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1),X2))
| ~ member(X0,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X1)
| ~ member(sK5(sK0,sK2,sK5(sK0,sK2,X0)),sK1) ),
inference(superposition,[status(thm)],[c_5055,c_1119]) ).
tcf(c_11549,plain,
! [X0: $i,X1: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1)))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1))),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1))),X1)
| ~ member(sK5(sK0,sK2,sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X1)))),sK1) ),
inference(superposition,[status(thm)],[c_5055,c_1741]) ).
tcf(c_11634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_6439,c_52]) ).
tcf(c_11635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1)))
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_6439,c_54]) ).
tcf(c_11636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,sK2,sK4(sK3,X4)))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_6439,c_65]) ).
tcf(c_11637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK2,sK4(sK3,X4)),sK2)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_6439,c_64]) ).
tcf(c_11638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),image3(X0,X1,image3(X2,X3,sK1)))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_6439,c_63]) ).
tcf(c_11639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,X5,sK4(sK3,X4)))
| ~ subset(sK2,X5)
| ~ member(sK4(sK3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_6439,c_2212]) ).
tcf(c_11640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1)))))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1)))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,image3(X2,X3,sK1))))),sK1) ),
inference(superposition,[status(thm)],[c_6439,c_1741]) ).
tcf(c_11682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_7104,c_52]) ).
tcf(c_11683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1)))
| ~ subset(inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_7104,c_54]) ).
tcf(c_11684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,sK2,sK4(sK3,X4)))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_7104,c_65]) ).
tcf(c_11685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK2,sK4(sK3,X4)),sK2)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_7104,c_64]) ).
tcf(c_11686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),image3(X0,X1,inverse_image3(X2,X3,sK1)))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_7104,c_63]) ).
tcf(c_11687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,X5,sK4(sK3,X4)))
| ~ subset(sK2,X5)
| ~ member(sK4(sK3,X4),sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_7104,c_2212]) ).
tcf(c_11688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1)))))
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,sK1)))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,image3(X0,X1,inverse_image3(X2,X3,sK1))))),sK1) ),
inference(superposition,[status(thm)],[c_7104,c_1741]) ).
tcf(c_11718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK1,X4)
| member(sK7(sK0,sK2,sK4(sK1,X4)),inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4099,c_5664]) ).
tcf(c_11719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,sK2,X4),inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4099,c_6472]) ).
tcf(c_11720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4099,c_1257]) ).
tcf(c_11721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X5)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X5),X4)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_4099,c_956]) ).
tcf(c_11722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X4),inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ member(X4,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4099,c_1015]) ).
tcf(c_11725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_4099,c_959]) ).
tcf(c_11726,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(sK3,X2)
| member(sK4(sK3,X2),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,sK1))))
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_4099,c_4519]) ).
tcf(c_11727,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X1,X2,sK1))))
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_4099,c_1742]) ).
tcf(c_11819,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,sK7(sK0,sK2,X0)),sK2)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_6477]) ).
tcf(c_11845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,image3(X0,X1,X2),X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8284,c_54]) ).
tcf(c_11846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK6(X2,X3,sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),X5)),sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8284,c_61]) ).
tcf(c_11847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X2,X3,sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),X5)),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8284,c_60]) ).
tcf(c_11848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X0,X1,image3(X2,X3,X4)),X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8284,c_59]) ).
tcf(c_11849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK7(X2,X3,sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),X5)))
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8284,c_65]) ).
tcf(c_11850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X2,X3,sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8284,c_64]) ).
tcf(c_11851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,image3(X0,X1,inverse_image3(X2,X3,X4)),X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8284,c_63]) ).
tcf(c_11852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(sK0,sK7(sK0,image3(X0,X1,X2),X3),sK7(sK0,X4,sK7(sK0,image3(X0,X1,X2),X3)))
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ subset(sK2,image3(X0,X1,X2))
| ~ member(sK7(sK0,image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_8284,c_2212]) ).
tcf(c_11853,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2)))) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8284,c_6772]) ).
tcf(c_11854,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8284,c_8291]) ).
tcf(c_11855,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8284,c_6776]) ).
tcf(c_11856,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8284,c_2407]) ).
tcf(c_11857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2)) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8284,c_6747]) ).
tcf(c_11858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK7(sK0,image3(X2,X3,sK2),sK5(sK0,sK2,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ subset(sK2,image3(X2,X3,sK2))
| ~ apply(sK0,sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_8284,c_3243]) ).
tcf(c_11859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| ( sK7(sK0,image3(X0,X1,sK2),sK4(sK3,X2)) = X3 )
| ~ member(X3,sK2)
| ~ member(sK4(sK3,X2),sK1)
| ~ apply(sK0,sK4(sK3,X2),X3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8284,c_7048]) ).
tcf(c_12020,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),X0)
| ~ subset(sK1,X0) ),
inference(superposition,[status(thm)],[c_1617,c_4195]) ).
tcf(c_12021,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),X0)
| ( sK5(sK0,sK2,sK4(inverse_image3(sK0,sK2,sK1),X0)) = sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,sK1),X0)) ) ),
inference(superposition,[status(thm)],[c_3656,c_4195]) ).
tcf(c_12023,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK4(sK1,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))) ),
inference(superposition,[status(thm)],[c_4092,c_4195]) ).
tcf(c_12026,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK4(sK1,X0),inverse_image3(sK0,sK2,sK1)) ),
inference(superposition,[status(thm)],[c_5761,c_4195]) ).
tcf(c_12096,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| apply(sK0,sK4(sK1,X0),sK7(sK0,X1,sK4(sK1,X0)))
| ~ subset(sK2,X1)
| ~ member(sK4(sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_12026,c_2212]) ).
tcf(c_12097,plain,
( subset(sK1,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ member(sK4(sK1,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))),sK1) ),
inference(superposition,[status(thm)],[c_12026,c_1741]) ).
tcf(c_12111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_10376,c_52]) ).
tcf(c_12112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1)))
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_10376,c_54]) ).
tcf(c_12113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,sK2,sK4(sK3,X4)))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_10376,c_65]) ).
tcf(c_12114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK2,sK4(sK3,X4)),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_10376,c_64]) ).
tcf(c_12115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(X0,X1,image3(X2,X3,sK1)))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_10376,c_63]) ).
tcf(c_12116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,X5,sK4(sK3,X4)))
| ~ subset(sK2,X5)
| ~ member(sK4(sK3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_10376,c_2212]) ).
tcf(c_12117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1)))))
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,sK1)))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,image3(X2,X3,sK1))))),sK1) ),
inference(superposition,[status(thm)],[c_10376,c_1741]) ).
tcf(c_12153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_11720,c_52]) ).
tcf(c_12154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X5)
| member(sK4(sK3,X5),X4)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)))
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))),X4) ),
inference(superposition,[status(thm)],[c_11720,c_54]) ).
tcf(c_12155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,sK2,sK4(sK3,X4)))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_11720,c_65]) ).
tcf(c_12156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK7(sK0,sK2,sK4(sK3,X4)),sK2)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_11720,c_64]) ).
tcf(c_12157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(sK3,X4)
| member(sK4(sK3,X4),inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_11720,c_63]) ).
tcf(c_12158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(sK3,X4)
| apply(sK0,sK4(sK3,X4),sK7(sK0,X5,sK4(sK3,X4)))
| ~ subset(sK2,X5)
| ~ member(sK4(sK3,X4),sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_11720,c_2212]) ).
tcf(c_12159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)))))
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)))
| ~ member(sK4(sK3,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,sK1))))),sK1) ),
inference(superposition,[status(thm)],[c_11720,c_1741]) ).
tcf(c_12201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ subset(X1,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1541,c_1806]) ).
tcf(c_12202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ~ member(X0,sK1)
| ~ member(X0,X4)
| ~ member(sK5(sK0,sK2,X0),image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2131,c_1806]) ).
tcf(c_12203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK5(sK0,sK2,X0),X3)
| ~ member(X0,sK1)
| ~ member(X0,X4)
| ~ member(sK5(sK0,sK2,X0),inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_2877,c_1806]) ).
tcf(c_12204,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),X2)
| ( sK5(sK0,sK2,sK4(image3(sK0,X1,sK1),X2)) = sK7(sK0,sK2,sK4(image3(sK0,X1,sK1),X2)) )
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_3655,c_1806]) ).
tcf(c_12205,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),inverse_image3(sK0,sK2,image3(sK0,X0,X1)))
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK5(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1806]) ).
tcf(c_12206,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,image3(sK0,X1,sK1)))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_4091,c_1806]) ).
tcf(c_12207,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,image3(sK0,X2,X1)))
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_4094,c_1806]) ).
tcf(c_12208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,image3(sK0,X3,image3(X1,X2,sK1))))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK5(sK0,sK2,X0),image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_4095,c_1806]) ).
tcf(c_12209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,image3(sK0,X3,inverse_image3(X1,X2,sK1))))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK5(sK0,sK2,X0),inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_4096,c_1806]) ).
tcf(c_12210,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X2),inverse_image3(sK0,sK2,sK1))
| ~ member(X2,sK1)
| ~ member(X2,X0)
| ~ member(sK5(sK0,sK2,X2),X1)
| ~ subset(image3(sK0,X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_5762,c_1806]) ).
tcf(c_12211,plain,
! [X0: $i,X1: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,sK1))
| ~ member(X0,sK1)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK1) ),
inference(superposition,[status(thm)],[c_5760,c_1806]) ).
tcf(c_12212,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,sK1))
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_5763,c_1806]) ).
tcf(c_12213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,sK1))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK5(sK0,sK2,X0),image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5764,c_1806]) ).
tcf(c_12214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,sK1))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(sK5(sK0,sK2,X0),inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5765,c_1806]) ).
tcf(c_12398,plain,
! [X0: $i,X1: $i] :
( apply(sK0,sK6(sK0,X1,sK5(sK0,sK2,X0)),sK5(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_343,c_1807]) ).
tcf(c_12420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(sK0,X0,sK5(sK0,sK2,X1)),inverse_image3(sK0,X3,X2))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK5(sK0,sK2,X1),X3)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_12398,c_62]) ).
tcf(c_12421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X1),image3(sK0,X2,X3))
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK5(sK0,sK2,X1),X3)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_12398,c_58]) ).
tcf(c_12422,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK5(sK0,sK2,X1),sK2)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_12398,c_6730]) ).
tcf(c_12423,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK5(sK0,sK2,X1),sK2)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_12398,c_888]) ).
tcf(c_12424,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK5(sK0,sK2,X1),sK2)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK6(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_12398,c_313]) ).
tcf(c_12464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK6(sK0,X0,sK5(sK0,sK2,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12424,c_343]) ).
tcf(c_12483,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ member(sK5(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_334,c_12464]) ).
tcf(c_12484,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1)
| ~ member(sK7(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))),sK2) ),
inference(superposition,[status(thm)],[c_5053,c_12464]) ).
tcf(c_12503,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,X0,sK5(sK0,sK2,X1))) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ member(X1,X0)
| ~ member(sK6(sK0,X0,sK5(sK0,sK2,X1)),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12483,c_343]) ).
tcf(c_12516,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_12503]) ).
tcf(c_12517,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_12503]) ).
tcf(c_12518,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_12503]) ).
tcf(c_12519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))) = sK5(sK0,sK2,X0) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_12503]) ).
tcf(c_12592,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK1,X0)))) = sK5(sK0,sK2,sK4(sK1,X0)) ) ),
inference(superposition,[status(thm)],[c_53,c_12516]) ).
tcf(c_12593,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_914,c_12516]) ).
tcf(c_12594,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,X1,sK1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),X2)) ) ),
inference(superposition,[status(thm)],[c_922,c_12516]) ).
tcf(c_12595,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(X0,X1)))) = sK5(sK0,sK2,sK4(X0,X1)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_932,c_12516]) ).
tcf(c_12596,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK5(sK0,sK2,X0)))) = sK5(sK0,sK2,sK5(sK0,sK2,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_933,c_12516]) ).
tcf(c_12597,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_945,c_12516]) ).
tcf(c_12598,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(X0,sK1,X1),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))))) = sK5(sK0,sK2,sK7(X0,sK1,sK4(inverse_image3(X0,sK1,X1),X2))) ) ),
inference(superposition,[status(thm)],[c_977,c_12516]) ).
tcf(c_12599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)))) = sK5(sK0,sK2,sK4(image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1132,c_12516]) ).
tcf(c_12600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X1,X2,image3(X0,sK1,X3)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))))) = sK5(sK0,sK2,sK6(X0,sK1,sK4(image3(X1,X2,image3(X0,sK1,X3)),X4))) ) ),
inference(superposition,[status(thm)],[c_1134,c_12516]) ).
tcf(c_12601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)))) = sK5(sK0,sK2,sK4(image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1135,c_12516]) ).
tcf(c_12602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) = sK5(sK0,sK2,sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1138,c_12516]) ).
tcf(c_12603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X2,X0),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)))) = sK5(sK0,sK2,sK4(inverse_image3(X1,X2,X0),X3)) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1178,c_12516]) ).
tcf(c_12604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1181,c_12516]) ).
tcf(c_12605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)))) = sK5(sK0,sK2,sK4(inverse_image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)) ) ),
inference(superposition,[status(thm)],[c_1184,c_12516]) ).
tcf(c_12606,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK1,sK1)) = sK7(sK0,sK2,sK4(sK1,sK1)) )
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_3760,c_12516]) ).
tcf(c_12607,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(sK3,X0)))) = sK5(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_1242,c_12516]) ).
tcf(c_12608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK6(X1,X0,sK4(image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1399,c_12516]) ).
tcf(c_12609,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK3,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4649,c_12516]) ).
tcf(c_12610,plain,
! [X0: $i] :
( subset(sK1,X0)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK4(sK1,X0))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4947,c_12516]) ).
tcf(c_12611,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK1,X0)))) = sK5(sK0,sK2,sK7(sK0,sK1,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5052,c_12516]) ).
tcf(c_12612,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5408,c_12516]) ).
tcf(c_12613,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,X1,sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ subset(X1,sK1)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_5428,c_12516]) ).
tcf(c_12614,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK6(X1,sK1,sK6(sK0,image3(X1,sK1,X2),sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5430,c_12516]) ).
tcf(c_12615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,image3(X1,X2,sK1),sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5431,c_12516]) ).
tcf(c_12616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0)))))) = sK5(sK0,sK2,sK7(X1,sK1,sK6(sK0,inverse_image3(X1,sK1,X2),sK5(sK0,sK2,X0)))) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,sK1,X2)) ),
inference(superposition,[status(thm)],[c_5433,c_12516]) ).
tcf(c_12617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))))) = sK5(sK0,sK2,sK6(sK0,inverse_image3(X1,X2,sK1),sK5(sK0,sK2,X0))) )
| ~ member(X0,sK1)
| ~ member(X0,inverse_image3(X1,X2,sK1)) ),
inference(superposition,[status(thm)],[c_5434,c_12516]) ).
tcf(c_12618,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,X0)))) = sK5(sK0,sK2,sK7(sK0,sK2,X0)) )
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_12516]) ).
tcf(c_12619,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,X0,X1)))) = sK5(sK0,sK2,sK7(sK0,X0,X1)) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_8281,c_12516]) ).
tcf(c_12620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK7(sK0,image3(X0,X1,sK1),X2)) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8284,c_12516]) ).
tcf(c_12850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,X2),X4),X3)
| ~ member(X4,sK1)
| ~ subset(X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8287,c_54]) ).
tcf(c_12851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK6(X2,X3,sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),X5))
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8287,c_61]) ).
tcf(c_12852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK6(X2,X3,sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),X5)),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8287,c_60]) ).
tcf(c_12853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,image3(X2,X3,X4)),X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8287,c_59]) ).
tcf(c_12854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( apply(X2,sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),sK7(X2,X3,sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)))
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8287,c_65]) ).
tcf(c_12855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(X2,X3,sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5)),X3)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8287,c_64]) ).
tcf(c_12856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( member(sK7(sK0,inverse_image3(X0,X1,inverse_image3(X2,X3,X4)),X5),X4)
| ~ member(X5,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,inverse_image3(X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_8287,c_63]) ).
tcf(c_12857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( apply(sK0,sK7(sK0,inverse_image3(X0,X1,X2),X3),sK7(sK0,X4,sK7(sK0,inverse_image3(X0,X1,X2),X3)))
| ~ member(X3,sK1)
| ~ subset(sK2,X4)
| ~ subset(sK2,inverse_image3(X0,X1,X2))
| ~ member(sK7(sK0,inverse_image3(X0,X1,X2),X3),sK1) ),
inference(superposition,[status(thm)],[c_8287,c_2212]) ).
tcf(c_12858,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2)))) = sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2)) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8287,c_12516]) ).
tcf(c_12859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2)))) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8287,c_6772]) ).
tcf(c_12860,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8287,c_8291]) ).
tcf(c_12861,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8287,c_6776]) ).
tcf(c_12862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2))) )
| ~ subset(sK2,sK1)
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8287,c_2407]) ).
tcf(c_12863,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2)) = sK7(sK0,sK2,sK7(sK0,inverse_image3(X0,X1,sK1),X2)) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_8287,c_6747]) ).
tcf(c_12864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK7(sK0,inverse_image3(X2,X3,sK2),sK5(sK0,sK2,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ subset(sK2,inverse_image3(X2,X3,sK2))
| ~ apply(sK0,sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_8287,c_3243]) ).
tcf(c_12865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X2)
| ( sK7(sK0,inverse_image3(X0,X1,sK2),sK4(sK3,X2)) = X3 )
| ~ member(X3,sK2)
| ~ member(sK4(sK3,X2),sK1)
| ~ apply(sK0,sK4(sK3,X2),X3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8287,c_7048]) ).
tcf(c_13004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X3,X0,X4),X5)
| member(sK7(X3,X0,sK4(inverse_image3(X3,X0,X4),X5)),X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_1448,c_54]) ).
tcf(c_13005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| apply(X1,sK6(X1,X2,sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))),sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)))
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1448,c_61]) ).
tcf(c_13006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK6(X1,X2,sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1448,c_60]) ).
tcf(c_13007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1448,c_59]) ).
tcf(c_13008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| apply(X1,sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)),sK7(X1,X2,sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))))
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1448,c_65]) ).
tcf(c_13009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK7(X1,X2,sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6))),X2)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1448,c_64]) ).
tcf(c_13010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(inverse_image3(X4,X0,X5),X6)
| member(sK7(X4,X0,sK4(inverse_image3(X4,X0,X5),X6)),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1448,c_63]) ).
tcf(c_13011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(inverse_image3(X0,X1,X2),X3)
| apply(sK0,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK7(sK0,X5,sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3))))
| ~ subset(sK2,X5)
| ~ subset(X1,X4)
| ~ member(sK7(X0,X1,sK4(inverse_image3(X0,X1,X2),X3)),sK1) ),
inference(superposition,[status(thm)],[c_1448,c_2212]) ).
tcf(c_13012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1448,c_12516]) ).
tcf(c_13013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1448,c_6772]) ).
tcf(c_13014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1448,c_8291]) ).
tcf(c_13015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1448,c_6776]) ).
tcf(c_13016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1448,c_2407]) ).
tcf(c_13017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(X1,X0,X2),X3)
| ( sK5(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) = sK7(sK0,sK2,sK7(X1,X0,sK4(inverse_image3(X1,X0,X2),X3))) )
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_1448,c_6747]) ).
tcf(c_13180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,image3(X6,X7,X0)),X8)
| member(sK4(image3(X4,X5,image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1541,c_1545]) ).
tcf(c_13181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,inverse_image3(X6,X7,X0)),X8)
| member(sK4(image3(X4,X5,inverse_image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1617,c_1545]) ).
tcf(c_13182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_2131,c_1545]) ).
tcf(c_13183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK1),X5)
| member(sK4(image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_1545]) ).
tcf(c_13184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_2877,c_1545]) ).
tcf(c_13185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_2972,c_1545]) ).
tcf(c_13186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_3408,c_1545]) ).
tcf(c_13187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK1)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_1545]) ).
tcf(c_13188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,inverse_image3(X0,X1,sK1)),X7)
| member(sK4(image3(X5,X6,inverse_image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_1545]) ).
tcf(c_13279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,image3(X6,X7,X0)),X8)
| member(sK4(image3(X4,X5,image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1541,c_1548]) ).
tcf(c_13280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( subset(image3(X4,X5,inverse_image3(X6,X7,X0)),X8)
| member(sK4(image3(X4,X5,inverse_image3(X6,X7,X0)),X8),X3)
| ~ subset(X0,inverse_image3(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_1617,c_1548]) ).
tcf(c_13281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_2131,c_1548]) ).
tcf(c_13282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK1),X5)
| member(sK4(image3(X3,X4,sK1),X5),X2)
| ( sK5(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) = sK7(sK0,sK2,sK4(sK1,inverse_image3(X0,X1,X2))) ) ),
inference(superposition,[status(thm)],[c_3654,c_1548]) ).
tcf(c_13283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_2877,c_1548]) ).
tcf(c_13284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_2972,c_1548]) ).
tcf(c_13285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,inverse_image3(X6,X7,X8)))),X9),X8) ),
inference(superposition,[status(thm)],[c_3408,c_1548]) ).
tcf(c_13286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,image3(X0,X1,sK1)),X7)
| member(sK4(image3(X5,X6,image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3655,c_1548]) ).
tcf(c_13287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X5,X6,inverse_image3(X0,X1,sK1)),X7)
| member(sK4(image3(X5,X6,inverse_image3(X0,X1,sK1)),X7),X4)
| ( sK5(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) = sK7(sK0,sK2,sK4(inverse_image3(X0,X1,sK1),inverse_image3(X2,X3,X4))) ) ),
inference(superposition,[status(thm)],[c_3656,c_1548]) ).
tcf(c_13288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,X0),X3)
| member(sK4(image3(X1,X2,X0),X3),X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4093,c_1548]) ).
tcf(c_13289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ~ subset(sK2,X0)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4743,c_1548]) ).
tcf(c_13290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4038,c_1548]) ).
tcf(c_13291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(image3(X1,X2,sK3),X3)
| member(sK4(image3(X1,X2,sK3),X3),X0)
| ~ subset(sK3,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_4037,c_1548]) ).
tcf(c_13293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,image3(X2,X3,sK1)),X4)
| member(sK4(image3(X0,X1,image3(X2,X3,sK1)),X4),image3(X2,X3,sK1)) ),
inference(superposition,[status(thm)],[c_4091,c_1548]) ).
tcf(c_13294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,sK1)),X4),inverse_image3(X2,X3,sK1)) ),
inference(superposition,[status(thm)],[c_4092,c_1548]) ).
tcf(c_13295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,image3(X3,X4,X0)),X5)
| member(sK4(image3(X1,X2,image3(X3,X4,X0)),X5),image3(X3,X4,X0))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4094,c_1548]) ).
tcf(c_13296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK1))),X6),image3(X2,X3,image3(X4,X5,sK1))) ),
inference(superposition,[status(thm)],[c_4095,c_1548]) ).
tcf(c_13297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK1))),X6),image3(X2,X3,inverse_image3(X4,X5,sK1))) ),
inference(superposition,[status(thm)],[c_4096,c_1548]) ).
tcf(c_13298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,inverse_image3(X3,X4,X0)),X5)
| member(sK4(image3(X1,X2,inverse_image3(X3,X4,X0)),X5),inverse_image3(X3,X4,X0))
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4097,c_1548]) ).
tcf(c_13299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK1))),X6),inverse_image3(X2,X3,image3(X4,X5,sK1))) ),
inference(superposition,[status(thm)],[c_4098,c_1548]) ).
tcf(c_13300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK1))),X6),inverse_image3(X2,X3,inverse_image3(X4,X5,sK1))) ),
inference(superposition,[status(thm)],[c_4099,c_1548]) ).
tcf(c_13301,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK4(image3(X0,X1,sK3),X2),sK3)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4100,c_1548]) ).
tcf(c_13302,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK4(image3(X0,X1,sK3),X2),sK2)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4357,c_1548]) ).
tcf(c_13303,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| member(sK4(image3(X0,X1,sK3),X2),sK1)
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_4602,c_1548]) ).
tcf(c_13305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),image3(X0,X1,sK1))
| ~ subset(sK2,image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5147,c_1548]) ).
tcf(c_13306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),inverse_image3(X0,X1,sK1))
| ~ subset(sK2,inverse_image3(X0,X1,sK1)) ),
inference(superposition,[status(thm)],[c_5278,c_1548]) ).
tcf(c_13309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,image3(X3,X4,X0)),X5)
| member(sK4(image3(X1,X2,image3(X3,X4,X0)),X5),sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5763,c_1548]) ).
tcf(c_13310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,image3(X2,X3,image3(X4,X5,sK1))),X6),sK1) ),
inference(superposition,[status(thm)],[c_5764,c_1548]) ).
tcf(c_13311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,image3(X2,X3,inverse_image3(X4,X5,sK1))),X6),sK1) ),
inference(superposition,[status(thm)],[c_5765,c_1548]) ).
tcf(c_13312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X1,X2,inverse_image3(X3,X4,X0)),X5)
| member(sK4(image3(X1,X2,inverse_image3(X3,X4,X0)),X5),sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_5766,c_1548]) ).
tcf(c_13313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,image3(X4,X5,sK1))),X6),sK1) ),
inference(superposition,[status(thm)],[c_5767,c_1548]) ).
tcf(c_13314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK1))),X6)
| member(sK4(image3(X0,X1,inverse_image3(X2,X3,inverse_image3(X4,X5,sK1))),X6),sK1) ),
inference(superposition,[status(thm)],[c_5768,c_1548]) ).
tcf(c_13315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK4(image3(X3,X4,sK3),X5),image3(X0,X1,X2))
| ~ subset(X2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_7717,c_1548]) ).
tcf(c_13316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK4(image3(X3,X4,sK3),X5),inverse_image3(X0,X1,X2))
| ~ subset(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_8615,c_1548]) ).
tcf(c_13541,plain,
subset(sK1,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))),
inference(superposition,[status(thm)],[c_12023,c_52]) ).
tcf(c_13542,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| member(sK4(sK1,X1),X0)
| ~ subset(inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)),X0) ),
inference(superposition,[status(thm)],[c_12023,c_54]) ).
tcf(c_13547,plain,
( subset(sK1,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1))))
| ~ member(sK4(sK1,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))),sK1) ),
inference(superposition,[status(thm)],[c_12023,c_1741]) ).
tcf(c_13640,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK7(sK0,sK2,sK4(sK1,X0)),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13541,c_5664]) ).
tcf(c_13641,plain,
! [X0: $i] :
( member(sK7(sK0,sK2,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_13541,c_6472]) ).
tcf(c_13644,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))
| ~ subset(sK2,sK1)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_13541,c_1015]) ).
tcf(c_13645,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK1),X2)
| member(sK4(image3(X0,X1,sK1),X2),inverse_image3(sK0,sK2,sK1)) ),
inference(superposition,[status(thm)],[c_13541,c_1548]) ).
tcf(c_13736,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X2)
| member(sK7(sK0,sK2,sK4(X0,X2)),X1)
| ~ subset(sK2,X1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_4359,c_54]) ).
tcf(c_13737,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| apply(sK0,sK7(sK0,sK2,sK4(X0,X1)),sK7(sK0,X2,sK7(sK0,sK2,sK4(X0,X1))))
| ~ subset(sK2,X2)
| ~ subset(X0,sK1)
| ~ member(sK7(sK0,sK2,sK4(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_4359,c_2212]) ).
tcf(c_13738,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK2,sK2)
| ~ subset(sK3,sK1)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_4359,c_7048]) ).
tcf(c_13743,plain,
! [X0: $i,X1: $i] :
( subset(sK3,X0)
| ( sK7(sK0,sK2,sK4(sK3,X0)) = X1 )
| ~ subset(sK3,sK1)
| ~ member(X1,sK2)
| ~ member(sK4(sK3,X0),sK1)
| ~ apply(sK0,sK4(sK3,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13738,c_908]) ).
tcf(c_13762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,inverse_image3(sK0,X2,X3))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(X1,X3)
| ~ member(sK7(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_5051,c_62]) ).
tcf(c_13763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,X0,X1),image3(sK0,X3,X2))
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(X1,X3)
| ~ member(sK7(sK0,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_5051,c_58]) ).
tcf(c_13764,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,X1) = sK7(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5051,c_6730]) ).
tcf(c_13765,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,X1) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ member(sK7(sK0,X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5051,c_888]) ).
tcf(c_13766,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X0,X1) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ apply(sK0,X1,X2)
| ~ member(sK7(sK0,X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_5051,c_313]) ).
tcf(c_13768,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X1)
| ( sK7(sK0,X0,sK4(sK1,X1)) = sK7(sK0,sK2,sK4(sK1,X1)) )
| ~ subset(sK2,X0)
| ~ member(sK4(sK1,X1),sK1)
| ~ member(sK7(sK0,X0,sK4(sK1,X1)),sK2) ),
inference(superposition,[status(thm)],[c_5051,c_8340]) ).
tcf(c_13769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X0,sK6(sK0,X1,sK5(sK0,sK2,X2))) = sK5(sK0,sK2,X2) )
| ~ member(X2,sK1)
| ~ subset(sK2,X0)
| ~ member(X2,X1)
| ~ member(sK6(sK0,X1,sK5(sK0,sK2,X2)),sK1)
| ~ member(sK7(sK0,X0,sK6(sK0,X1,sK5(sK0,sK2,X2))),sK2) ),
inference(superposition,[status(thm)],[c_5051,c_12464]) ).
tcf(c_13830,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(sK0,sK2,X0),X1)
| ( sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,X0),X1)) = X2 )
| ~ subset(sK2,sK2)
| ~ member(X2,sK2)
| ~ member(sK4(inverse_image3(sK0,sK2,X0),X1),sK1)
| ~ apply(sK0,sK4(inverse_image3(sK0,sK2,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_977,c_13766]) ).
tcf(c_13831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(inverse_image3(sK0,X0,X1),X2)
| ( sK7(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)) = X3 )
| ~ member(X3,sK2)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2)
| ~ member(sK4(inverse_image3(sK0,X0,X1),X2),sK1)
| ~ apply(sK0,sK4(inverse_image3(sK0,X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1448,c_13766]) ).
tcf(c_13833,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK7(sK0,sK2,sK4(X0,X1)) = X2 )
| ~ subset(sK2,sK2)
| ~ member(X2,sK2)
| ~ subset(X0,sK1)
| ~ member(sK4(X0,X1),sK1)
| ~ apply(sK0,sK4(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_4359,c_13766]) ).
tcf(c_13837,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| ( sK7(sK0,sK2,sK4(sK1,X0)) = X1 )
| ~ subset(sK2,sK2)
| ~ member(X1,sK2)
| ~ member(sK4(sK1,X0),sK1)
| ~ apply(sK0,sK4(sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_4947,c_13766]) ).
tcf(c_13839,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,sK2,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1))) = X2 )
| ~ subset(sK2,sK2)
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,inverse_image3(sK0,sK2,X0))
| ~ member(sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1)),X2) ),
inference(superposition,[status(thm)],[c_5433,c_13766]) ).
tcf(c_13840,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,sK2,X0) = X1 )
| ~ subset(sK2,sK2)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_5923,c_13766]) ).
tcf(c_13841,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,X2,X0) = X1 )
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ subset(X2,sK2)
| ~ apply(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8281,c_13766]) ).
tcf(c_13842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK7(sK0,image3(X0,X1,sK2),X2) = X3 )
| ~ member(X3,sK2)
| ~ member(X2,sK1)
| ~ apply(sK0,X2,X3)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8284,c_13766]) ).
tcf(c_13843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK7(sK0,inverse_image3(X0,X1,sK2),X2) = X3 )
| ~ member(X3,sK2)
| ~ member(X2,sK1)
| ~ apply(sK0,X2,X3)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8287,c_13766]) ).
tcf(c_13861,plain,
! [X0: $i,X1: $i] :
( subset(sK1,X0)
| ( sK7(sK0,sK2,sK4(sK1,X0)) = X1 )
| ~ member(X1,sK2)
| ~ member(sK4(sK1,X0),sK1)
| ~ apply(sK0,sK4(sK1,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13837,c_908]) ).
tcf(c_13867,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,X1)
| ( sK7(sK0,sK2,sK4(X0,X1)) = X2 )
| ~ member(X2,sK2)
| ~ subset(X0,sK1)
| ~ member(sK4(X0,X1),sK1)
| ~ apply(sK0,sK4(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13833,c_908]) ).
tcf(c_13874,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(sK0,sK2,X0),X1)
| ( sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,X0),X1)) = X2 )
| ~ member(X2,sK2)
| ~ member(sK4(inverse_image3(sK0,sK2,X0),X1),sK1)
| ~ apply(sK0,sK4(inverse_image3(sK0,sK2,X0),X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13830,c_908]) ).
tcf(c_13887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,sK2,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1))) = X2 )
| ~ member(X2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,inverse_image3(sK0,sK2,X0))
| ~ member(sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1)),sK1)
| ~ apply(sK0,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1)),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13839,c_908]) ).
tcf(c_13967,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X1,X2,sK3),X0)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0) ),
inference(superposition,[status(thm)],[c_13290,c_52]) ).
tcf(c_13968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(image3(X2,X3,sK3),X4)
| member(sK4(image3(X2,X3,sK3),X4),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13290,c_54]) ).
tcf(c_13969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| apply(X0,sK6(X0,X1,sK4(image3(X3,X4,sK3),X5)),sK4(image3(X3,X4,sK3),X5))
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13290,c_61]) ).
tcf(c_13970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK6(X0,X1,sK4(image3(X3,X4,sK3),X5)),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13290,c_60]) ).
tcf(c_13971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK4(image3(X3,X4,sK3),X5),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13290,c_59]) ).
tcf(c_13972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| apply(X0,sK4(image3(X3,X4,sK3),X5),sK7(X0,X1,sK4(image3(X3,X4,sK3),X5)))
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13290,c_65]) ).
tcf(c_13973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK7(X0,X1,sK4(image3(X3,X4,sK3),X5)),X1)
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13290,c_64]) ).
tcf(c_13974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( subset(image3(X3,X4,sK3),X5)
| member(sK4(image3(X3,X4,sK3),X5),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13290,c_63]) ).
tcf(c_13975,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_12516]) ).
tcf(c_13976,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_6772]) ).
tcf(c_13977,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) = sK7(sK0,sK2,sK7(sK0,sK1,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_8291]) ).
tcf(c_13978,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) = sK7(sK0,sK2,sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_6776]) ).
tcf(c_13979,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) = sK7(sK0,sK2,sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2))) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_2407]) ).
tcf(c_13980,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),X2)
| ( sK5(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) = sK7(sK0,sK2,sK4(image3(X0,X1,sK3),X2)) )
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_6747]) ).
tcf(c_13981,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(image3(X0,X1,sK3),inverse_image3(sK0,sK2,X2))
| ~ subset(sK2,sK1)
| ~ subset(sK2,X2)
| ~ member(sK4(image3(X0,X1,sK3),inverse_image3(sK0,sK2,X2)),sK1) ),
inference(superposition,[status(thm)],[c_13290,c_1741]) ).
tcf(c_13982,plain,
! [X0: $i,X1: $i] :
( subset(image3(X0,X1,sK3),inverse_image3(sK0,sK2,image3(X0,X1,sK3)))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_3949]) ).
tcf(c_13983,plain,
! [X0: $i,X1: $i] :
( subset(image3(X0,X1,sK3),inverse_image3(sK0,sK2,sK1))
| ~ subset(sK2,sK1) ),
inference(superposition,[status(thm)],[c_13290,c_5093]) ).
tcf(c_14120,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(sK0,X0,X1),X2)
| ( sK7(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)) = sK7(sK0,sK2,sK4(inverse_image3(sK0,X0,X1),X2)) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2)
| ~ member(sK4(inverse_image3(sK0,X0,X1),X2),sK1) ),
inference(superposition,[status(thm)],[c_1448,c_13764]) ).
tcf(c_14130,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,X1) = sK7(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_8281,c_13764]) ).
tcf(c_14131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,image3(X0,X1,sK2),X2) = sK7(sK0,sK2,X2) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8284,c_13764]) ).
tcf(c_14132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,inverse_image3(X0,X1,sK2),X2) = sK7(sK0,sK2,X2) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8287,c_13764]) ).
tcf(c_14198,plain,
! [X0: $i,X1: $i] :
( subset(inverse_image3(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK4(inverse_image3(sK0,sK2,X0),X1)) = sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,X0),X1)) )
| ~ subset(sK2,sK2)
| ~ member(sK4(inverse_image3(sK0,sK2,X0),X1),sK1) ),
inference(superposition,[status(thm)],[c_977,c_13765]) ).
tcf(c_14199,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(inverse_image3(sK0,X0,X1),X2)
| ( sK7(sK0,X0,sK4(inverse_image3(sK0,X0,X1),X2)) = sK5(sK0,sK2,sK4(inverse_image3(sK0,X0,X1),X2)) )
| ~ subset(sK2,X0)
| ~ subset(X0,sK2)
| ~ member(sK4(inverse_image3(sK0,X0,X1),X2),sK1) ),
inference(superposition,[status(thm)],[c_1448,c_13765]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK4(X0,X1)) = sK7(sK0,sK2,sK4(X0,X1)) )
| ~ subset(sK2,sK2)
| ~ subset(X0,sK1)
| ~ member(sK4(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_4359,c_13765]) ).
tcf(c_14204,plain,
! [X0: $i] :
( subset(sK3,X0)
| ( sK5(sK0,sK2,sK4(sK3,X0)) = sK7(sK0,sK2,sK4(sK3,X0)) )
| ~ subset(sK2,sK2)
| ~ subset(sK2,sK1)
| ~ member(sK4(sK3,X0),sK1) ),
inference(superposition,[status(thm)],[c_4649,c_13765]) ).
tcf(c_14207,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1))) = sK7(sK0,sK2,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1))) )
| ~ subset(sK2,sK2)
| ~ member(X1,sK1)
| ~ member(X1,inverse_image3(sK0,sK2,X0))
| ~ member(sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1)),sK1) ),
inference(superposition,[status(thm)],[c_5433,c_13765]) ).
tcf(c_14208,plain,
! [X0: $i] :
( ( sK5(sK0,sK2,X0) = sK7(sK0,sK2,X0) )
| ~ subset(sK2,sK2)
| ~ member(X0,sK1) ),
inference(superposition,[status(thm)],[c_5923,c_13765]) ).
tcf(c_14209,plain,
! [X0: $i,X1: $i] :
( ( sK7(sK0,X0,X1) = sK5(sK0,sK2,X1) )
| ~ member(X1,sK1)
| ~ subset(sK2,X0)
| ~ subset(X0,sK2) ),
inference(superposition,[status(thm)],[c_8281,c_13765]) ).
tcf(c_14210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,image3(X0,X1,sK2),X2) = sK5(sK0,sK2,X2) )
| ~ member(X2,sK1)
| ~ subset(sK2,image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8284,c_13765]) ).
tcf(c_14211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(sK0,inverse_image3(X0,X1,sK2),X2) = sK5(sK0,sK2,X2) )
| ~ member(X2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8287,c_13765]) ).
tcf(c_14225,plain,
! [X0: $i,X1: $i] :
( subset(inverse_image3(sK0,sK2,X0),X1)
| ( sK5(sK0,sK2,sK4(inverse_image3(sK0,sK2,X0),X1)) = sK7(sK0,sK2,sK4(inverse_image3(sK0,sK2,X0),X1)) )
| ~ member(sK4(inverse_image3(sK0,sK2,X0),X1),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14198,c_908]) ).
tcf(c_14234,plain,
! [X0: $i,X1: $i] :
( ( sK5(sK0,sK2,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1))) = sK7(sK0,sK2,sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1))) )
| ~ member(X1,sK1)
| ~ member(X1,inverse_image3(sK0,sK2,X0))
| ~ member(sK6(sK0,inverse_image3(sK0,sK2,X0),sK5(sK0,sK2,X1)),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14207,c_908]) ).
tcf(c_14288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,inverse_image3(sK0,image3(sK0,X1,X2),X3))
| ~ member(sK4(X0,inverse_image3(sK0,image3(sK0,X1,X2),X3)),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,image3(sK0,X1,X2),X3)),X3)
| ~ member(sK4(X0,inverse_image3(sK0,image3(sK0,X1,X2),X3)),X1)
| ~ member(sK5(sK0,sK2,sK4(X0,inverse_image3(sK0,image3(sK0,X1,X2),X3))),X2) ),
inference(superposition,[status(thm)],[c_1810,c_52]) ).
tcf(c_14289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X4,X3)
| ~ member(X4,sK1)
| ~ member(X4,X2)
| ~ member(X4,X0)
| ~ member(sK5(sK0,sK2,X4),X1)
| ~ subset(inverse_image3(sK0,image3(sK0,X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_1810,c_54]) ).
tcf(c_14290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(sK0,X0,sK7(sK0,image3(sK0,X2,X1),X0))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1810,c_65]) ).
tcf(c_14291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,image3(sK0,X2,X1),X0),image3(sK0,X2,X1))
| ~ member(X0,sK1)
| ~ member(X0,X3)
| ~ member(X0,X2)
| ~ member(sK5(sK0,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_1810,c_64]) ).
tcf(c_14293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X0,inverse_image3(sK0,inverse_image3(sK0,image3(sK0,X2,X1),X3),X4))
| ~ member(X0,sK1)
| ~ member(X0,X4)
| ~ member(sK5(sK0,sK2,X0),sK1)
| ~ member(sK5(sK0,sK2,X0),X3)
| ~ member(sK5(sK0,sK2,X0),X2)
| ~ member(sK5(sK0,sK2,sK5(sK0,sK2,X0)),X1) ),
inference(superposition,[status(thm)],[c_1810,c_1119]) ).
tcf(c_14294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,image3(sK0,X1,X2),X3)))
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,image3(sK0,X1,X2),X3))),sK1)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,image3(sK0,X1,X2),X3))),X3)
| ~ member(sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,image3(sK0,X1,X2),X3))),X1)
| ~ member(sK5(sK0,sK2,sK4(X0,inverse_image3(sK0,sK2,inverse_image3(sK0,image3(sK0,X1,X2),X3)))),X2) ),
inference(superposition,[status(thm)],[c_1810,c_1741]) ).
tcf(c_14339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( subset(image3(X4,X5,sK3),X6)
| member(sK4(image3(X4,X5,sK3),X6),image3(X0,X1,image3(X2,X3,sK1)))
| ~ subset(sK2,image3(X0,X1,image3(X2,X3,sK1))) ),
inference(superposition,[status(thm)],[c_11634,c_1548]) ).
tcf(c_14353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK1,X3)
| member(sK7(sK0,sK2,sK4(sK1,X3)),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_13967,c_5664]) ).
tcf(c_14354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(sK0,sK2,X3),X2)
| ~ subset(sK2,sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_13967,c_6472]) ).
tcf(c_14355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(sK3,X3)
| member(sK4(sK3,X3),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_13967,c_1257]) ).
tcf(c_14357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(sK0,sK2,X3),X2)
| ~ subset(sK2,sK1)
| ~ member(X3,sK1)
| ~ subset(sK2,X2)
| ~ subset(sK2,image3(X0,X1,sK3)) ),
inference(superposition,[status(thm)],[c_13967,c_1015]) ).
tcf(c_14358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,image3(X5,X6,sK3)),X7)
| member(sK4(image3(X3,X4,image3(X5,X6,sK3)),X7),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13967,c_1545]) ).
tcf(c_14362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( subset(image3(X3,X4,image3(X5,X6,sK3)),X7)
| member(sK4(image3(X3,X4,image3(X5,X6,sK3)),X7),X2)
| ~ subset(sK2,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13967,c_1548]) ).
tcf(c_14366,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK5(sK0,sK2,X0),X2)
| ~ subset(sK2,sK1)
| ~ member(X0,sK1)
| ~ subset(sK2,X2)
| ~ member(X0,X1)
| ~ member(sK5(sK0,sK2,X0),sK3) ),
inference(superposition,[status(thm)],[c_13967,c_1806]) ).
tcf(c_14460,plain,
! [X0: $i] :
( subset(sK1,X0)
| member(sK4(sK1,X0),inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,inverse_image3(sK0,sK2,sK1)))) ),
inference(superposition,[status(thm)],[c_4099,c_13542]) ).
tcf(c_14475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subset(X2,X3)
| member(sK7(sK0,sK2,sK4(X2,X3)),X1)
| ~ subset(sK2,X0)
| ~ subset(X2,sK1)
| ~ subset(X0,X1) ),
inference(superposition,[status(thm)],[c_13736,c_54]) ).
tcf(c_14476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK6(X0,X1,sK7(sK0,sK2,sK4(X3,X4))),sK7(sK0,sK2,sK4(X3,X4)))
| ~ subset(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13736,c_61]) ).
tcf(c_14477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK6(X0,X1,sK7(sK0,sK2,sK4(X3,X4))),X1)
| ~ subset(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13736,c_60]) ).
tcf(c_14478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(sK0,sK2,sK4(X3,X4)),X2)
| ~ subset(X3,sK1)
| ~ subset(sK2,image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13736,c_59]) ).
tcf(c_14479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| apply(X0,sK7(sK0,sK2,sK4(X3,X4)),sK7(X0,X1,sK7(sK0,sK2,sK4(X3,X4))))
| ~ subset(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13736,c_65]) ).
tcf(c_14480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(X0,X1,sK7(sK0,sK2,sK4(X3,X4))),X1)
| ~ subset(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13736,c_64]) ).
tcf(c_14481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( subset(X3,X4)
| member(sK7(sK0,sK2,sK4(X3,X4)),X2)
| ~ subset(X3,sK1)
| ~ subset(sK2,inverse_image3(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_13736,c_63]) ).
tcf(c_14482,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))))) = sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_13736,c_12516]) ).
tcf(c_14483,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))))) = sK7(sK0,sK2,sK6(sK0,sK1,sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1))))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_13736,c_6772]) ).
tcf(c_14484,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK7(sK0,sK1,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_13736,c_8291]) ).
tcf(c_14485,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK7(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_13736,c_6776]) ).
tcf(c_14486,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( sK5(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1)))) = sK7(sK0,sK2,sK5(sK0,sK2,sK7(sK0,sK2,sK4(X0,X1)))) )
| ~ subset(sK2,sK1)
| ~ subset(X0,sK1) ),
inference(superposition,[status(thm)],[c_13736,c_2407]) ).
tcf(c_14636,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_14486,c_14485,c_14484,c_14483,c_14482,c_14481,c_14480,c_14479,c_14478,c_14477,c_14476,c_14475,c_14460,c_14366,c_14362,c_14358,c_14357,c_14355,c_14354,c_14353,c_14339,c_14234,c_14225,c_14211,c_14210,c_14209,c_14207,c_14204,c_14201,c_14208,c_14199,c_14198,c_14132,c_14131,c_14130,c_14120,c_13983,c_13982,c_13981,c_13980,c_13979,c_13978,c_13977,c_13976,c_13975,c_13974,c_13973,c_13972,c_13971,c_13970,c_13969,c_13968,c_13967,c_13887,c_13874,c_13867,c_13861,c_13843,c_13842,c_13841,c_13839,c_13837,c_13833,c_13840,c_13831,c_13830,c_13769,c_13768,c_13766,c_13765,c_13764,c_13763,c_13762,c_13743,c_13738,c_13737,c_13736,c_13645,c_13644,c_13641,c_13640,c_13547,c_13542,c_13541,c_13316,c_13315,c_13314,c_13313,c_13312,c_13311,c_13310,c_13309,c_13306,c_13305,c_13303,c_13302,c_13301,c_13300,c_13299,c_13298,c_13297,c_13296,c_13295,c_13294,c_13293,c_13291,c_13290,c_13289,c_13288,c_13287,c_13286,c_13285,c_13284,c_13283,c_13282,c_13281,c_13280,c_13279,c_13188,c_13187,c_13186,c_13185,c_13184,c_13183,c_13182,c_13181,c_13180,c_13017,c_13016,c_13015,c_13014,c_13013,c_13012,c_13011,c_13010,c_13009,c_13008,c_13007,c_13006,c_13005,c_13004,c_12865,c_12864,c_12863,c_12862,c_12861,c_12860,c_12859,c_12858,c_12857,c_12856,c_12855,c_12854,c_12853,c_12852,c_12851,c_12850,c_12620,c_12619,c_12618,c_12617,c_12616,c_12615,c_12614,c_12613,c_12612,c_12611,c_12610,c_12609,c_12608,c_12607,c_12606,c_12605,c_12604,c_12603,c_12602,c_12601,c_12600,c_12599,c_12598,c_12597,c_12596,c_12595,c_12594,c_12593,c_12592,c_12519,c_12518,c_12517,c_12516,c_12503,c_12484,c_12483,c_12464,c_12424,c_12423,c_12422,c_12421,c_12420,c_12398,c_12214,c_12213,c_12212,c_12211,c_12210,c_12209,c_12208,c_12207,c_12206,c_12205,c_12201,c_12159,c_12158,c_12157,c_12156,c_12155,c_12154,c_12153,c_12117,c_12116,c_12115,c_12114,c_12113,c_12112,c_12111,c_12097,c_12096,c_12023,c_12021,c_12020,c_12026,c_11859,c_11858,c_11857,c_11856,c_11855,c_11854,c_11853,c_11852,c_11851,c_11850,c_11849,c_11848,c_11847,c_11846,c_11845,c_11819,c_11727,c_11726,c_11725,c_11722,c_11721,c_11720,c_11719,c_11718,c_11688,c_11687,c_11686,c_11685,c_11684,c_11683,c_11682,c_11640,c_11639,c_11638,c_11637,c_11636,c_11635,c_11634,c_11549,c_11548,c_11545,c_11544,c_11543,c_11542,c_11326,c_11325,c_11324,c_11323,c_11322,c_11321,c_11320,c_11319,c_11318,c_11317,c_11316,c_11315,c_11314,c_11313,c_11312,c_11311,c_11310,c_11309,c_11308,c_11307,c_11306,c_11305,c_11304,c_11303,c_11302,c_11301,c_11300,c_11299,c_11241,c_11240,c_11239,c_11238,c_11237,c_11236,c_11235,c_11234,c_11233,c_11232,c_11231,c_11230,c_11071,c_11070,c_11069,c_11068,c_11067,c_11066,c_11065,c_11064,c_11063,c_11062,c_11061,c_11060,c_10695,c_10694,c_10693,c_10692,c_10691,c_10690,c_10689,c_10688,c_10685,c_10681,c_10680,c_10679,c_10678,c_10677,c_10676,c_10675,c_10674,c_10670,c_10669,c_10668,c_10667,c_10666,c_10665,c_10664,c_10663,c_10662,c_10661,c_10571,c_10570,c_10569,c_10568,c_10567,c_10566,c_10565,c_10564,c_10563,c_10562,c_10561,c_10433,c_10432,c_10431,c_10430,c_10429,c_10428,c_10427,c_10426,c_10425,c_10424,c_10423,c_10422,c_10421,c_10420,c_10383,c_10382,c_10381,c_10378,c_10377,c_10376,c_10375,c_12203,c_12202,c_12204,c_14290,c_14291,c_14294,c_14293,c_14289,c_14288,c_8990,c_8989,c_8988,c_8987,c_8986,c_8985,c_8984,c_8983,c_8982,c_8981,c_8980,c_8979,c_8978,c_8977,c_8976,c_8975,c_8974,c_8871,c_8872,c_8873,c_8868,c_8867,c_8866,c_8865,c_8864,c_8863,c_8862,c_8861,c_8860,c_8859,c_8758,c_8757,c_8756,c_8755,c_8754,c_8753,c_8752,c_8751,c_8750,c_8749,c_8748,c_8621,c_8620,c_8619,c_8618,c_8617,c_8616,c_8615,c_8392,c_8391,c_8390,c_8389,c_8388,c_8387,c_8386,c_8385,c_8384,c_8383,c_8382,c_8381,c_8380,c_8379,c_8378,c_8377,c_8376,c_8375,c_8374,c_8373,c_8372,c_8371,c_8370,c_8340,c_8291,c_8290,c_8289,c_8288,c_8287,c_8286,c_8285,c_8284,c_8283,c_8282,c_8281,c_8255,c_8252,c_8251,c_8153,c_8151,c_8150,c_8147,c_8146,c_8145,c_8144,c_7987,c_7986,c_7985,c_7984,c_7983,c_7982,c_7981,c_7978,c_7974,c_7973,c_7972,c_7971,c_7970,c_7969,c_7968,c_7964,c_7963,c_7962,c_7961,c_7960,c_7959,c_7958,c_7957,c_7940,c_7782,c_7780,c_7779,c_7778,c_7777,c_7776,c_7775,c_7774,c_7773,c_7772,c_7724,c_7723,c_7722,c_7721,c_7720,c_7719,c_7718,c_7717,c_7571,c_7570,c_7569,c_7568,c_7567,c_7566,c_7565,c_7564,c_7563,c_7562,c_7561,c_7560,c_7559,c_7558,c_7557,c_7556,c_7555,c_7554,c_7553,c_7552,c_7551,c_7550,c_7549,c_7415,c_7414,c_7410,c_7409,c_7408,c_7407,c_7371,c_7367,c_7368,c_7334,c_7331,c_7330,c_7329,c_7297,c_7296,c_7295,c_7294,c_7293,c_7292,c_7291,c_7218,c_7217,c_7216,c_7215,c_7214,c_7213,c_7212,c_7147,c_7146,c_7109,c_7106,c_7105,c_7104,c_7049,c_7048,c_7047,c_7046,c_7045,c_7044,c_6864,c_6863,c_6862,c_6861,c_6860,c_6859,c_6858,c_6857,c_6856,c_6855,c_6854,c_6853,c_6852,c_6851,c_6850,c_6849,c_6848,c_6847,c_6846,c_6845,c_6844,c_6843,c_6842,c_6841,c_6776,c_6775,c_6774,c_6773,c_6772,c_6771,c_6770,c_6769,c_6768,c_6761,c_6674,c_6673,c_6672,c_6671,c_6670,c_6669,c_6606,c_6603,c_6602,c_6601,c_6564,c_6562,c_6481,c_6480,c_6479,c_6478,c_6477,c_6476,c_6475,c_6474,c_6473,c_6472,c_6444,c_6443,c_6442,c_6441,c_6440,c_6439,c_6342,c_6341,c_6340,c_6339,c_6338,c_6337,c_6336,c_6335,c_6334,c_6333,c_6215,c_6214,c_6213,c_6212,c_6211,c_6210,c_6209,c_6208,c_6207,c_6206,c_6154,c_6153,c_6152,c_6151,c_6150,c_6149,c_6148,c_6147,c_6146,c_6145,c_6040,c_6039,c_6038,c_6037,c_6036,c_6035,c_6034,c_6033,c_6032,c_6031,c_5965,c_5964,c_5963,c_5956,c_5952,c_5951,c_5950,c_5926,c_5925,c_5924,c_5923,c_5899,c_5896,c_5895,c_5894,c_5857,c_5854,c_5853,c_5852,c_6759,c_6758,c_6747,c_6740,c_6730,c_5768,c_5767,c_5766,c_5765,c_5764,c_5763,c_5762,c_5761,c_5760,c_5674,c_5673,c_5672,c_5671,c_5670,c_5669,c_5668,c_5667,c_5666,c_5665,c_5664,c_5638,c_5564,c_5563,c_5562,c_5561,c_5560,c_5559,c_5438,c_5437,c_5436,c_5435,c_5434,c_5433,c_5432,c_5431,c_5430,c_5429,c_5428,c_5408,c_5376,c_5375,c_5374,c_5373,c_5371,c_6581,c_6580,c_6579,c_6578,c_5287,c_5286,c_5285,c_5284,c_5283,c_5282,c_5281,c_5280,c_5279,c_5278,c_5156,c_5155,c_5154,c_5153,c_5152,c_5151,c_5150,c_5149,c_5148,c_5147,c_5127,c_5126,c_5124,c_5102,c_5094,c_5093,c_5056,c_5055,c_5052,c_5051,c_5050,c_5054,c_5053,c_5047,c_5046,c_5016,c_5015,c_5014,c_5013,c_5012,c_5011,c_5010,c_4951,c_4950,c_4949,c_4948,c_4947,c_4937,c_4932,c_4931,c_4877,c_4876,c_4875,c_4874,c_4873,c_4872,c_4752,c_4751,c_4750,c_4749,c_4748,c_4746,c_4745,c_4744,c_4743,c_4719,c_4692,c_4690,c_4689,c_4653,c_4652,c_4651,c_4650,c_4649,c_4611,c_4606,c_4603,c_4602,c_4552,c_4551,c_4522,c_4521,c_4519,c_4497,c_4482,c_4478,c_4368,c_4367,c_4366,c_4365,c_4364,c_4363,c_4362,c_4361,c_4359,c_4358,c_4357,c_4356,c_4355,c_4354,c_4271,c_4270,c_4269,c_4268,c_4267,c_4266,c_4265,c_4264,c_4263,c_4262,c_4261,c_4234,c_4233,c_4229,c_4198,c_4197,c_4196,c_4195,c_4194,c_4100,c_4099,c_4098,c_4097,c_4096,c_4095,c_4094,c_4093,c_4092,c_4091,c_4090,c_4057,c_4056,c_4054,c_4038,c_4037,c_3961,c_3960,c_3959,c_3958,c_3957,c_3956,c_3955,c_3954,c_3953,c_3952,c_3951,c_3950,c_3949,c_3936,c_3820,c_3819,c_3818,c_3817,c_3816,c_3815,c_3814,c_3813,c_3812,c_3811,c_3810,c_3767,c_3766,c_3765,c_3764,c_3763,c_3762,c_3761,c_3760,c_3663,c_3662,c_3661,c_3660,c_3659,c_3658,c_3657,c_3656,c_3655,c_3654,c_3646,c_3640,c_3628,c_3515,c_3514,c_3513,c_3512,c_3489,c_3484,c_3482,c_3419,c_3418,c_3417,c_3416,c_3415,c_3414,c_3413,c_3412,c_3411,c_3410,c_3409,c_3408,c_3392,c_3387,c_3385,c_3382,c_3353,c_3352,c_3342,c_3331,c_3315,c_3300,c_3244,c_3243,c_3242,c_3241,c_3240,c_3223,c_3060,c_3059,c_3058,c_3057,c_3056,c_3055,c_3054,c_3053,c_3052,c_3051,c_3050,c_2983,c_2982,c_2981,c_2980,c_2979,c_2978,c_2977,c_2976,c_2975,c_2974,c_2973,c_2972,c_2934,c_2932,c_2888,c_2887,c_2886,c_2885,c_2884,c_2883,c_2882,c_2881,c_2880,c_2879,c_2878,c_2877,c_2734,c_2733,c_2731,c_2730,c_2729,c_2728,c_2727,c_2726,c_2725,c_2724,c_2723,c_2722,c_2721,c_2720,c_2719,c_2718,c_2717,c_2571,c_2570,c_2568,c_2567,c_2566,c_2565,c_2564,c_2563,c_2562,c_2561,c_2560,c_2559,c_2558,c_2557,c_2556,c_2555,c_2554,c_2474,c_2473,c_2472,c_2471,c_2470,c_2469,c_2468,c_2467,c_2466,c_2437,c_2436,c_2435,c_2434,c_2407,c_2398,c_2358,c_2345,c_2337,c_2302,c_2301,c_2300,c_2299,c_2217,c_2216,c_2215,c_2213,c_2212,c_2211,c_2210,c_2187,c_2185,c_2140,c_2139,c_2138,c_2137,c_2136,c_2135,c_2134,c_2133,c_2132,c_2131,c_2122,c_2087,c_2086,c_2085,c_1979,c_1977,c_1976,c_1975,c_1974,c_1973,c_1972,c_1971,c_1970,c_1969,c_1968,c_1967,c_1966,c_1943,c_1942,c_1849,c_1848,c_1847,c_1846,c_1845,c_1844,c_1843,c_1842,c_1841,c_1840,c_1839,c_1838,c_1810,c_1808,c_1807,c_1806,c_1746,c_1744,c_1743,c_1742,c_1741,c_1719,c_1718,c_1691,c_1689,c_1624,c_1623,c_1622,c_1621,c_1620,c_1619,c_1618,c_1617,c_1591,c_1589,c_1588,c_1548,c_1547,c_1546,c_1545,c_1544,c_1543,c_1542,c_1541,c_1454,c_1453,c_1452,c_1451,c_1450,c_1449,c_1448,c_1405,c_1404,c_1403,c_1402,c_1401,c_1400,c_1399,c_1381,c_1355,c_1263,c_1262,c_1261,c_1260,c_1259,c_1258,c_1257,c_1256,c_1242,c_1184,c_1183,c_1182,c_1181,c_1180,c_1179,c_1178,c_1177,c_1138,c_1137,c_1136,c_1135,c_1134,c_1133,c_1132,c_1131,c_1119,c_1105,c_1072,c_1021,c_1020,c_1019,c_1018,c_1017,c_1016,c_1015,c_1002,c_1001,c_990,c_989,c_978,c_977,c_959,c_958,c_957,c_956,c_945,c_933,c_932,c_922,c_914,c_908,c_888,c_881,c_343,c_334,c_313,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_54,c_53,c_52,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET758+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 11:55:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 7.32/1.75 % SZS status Started for theBenchmark.p
% 7.32/1.75 % SZS status Theorem for theBenchmark.p
% 7.32/1.75
% 7.32/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.32/1.75
% 7.32/1.75 % ------ iProver source info
% 7.32/1.75
% 7.32/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 7.32/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.32/1.75 % git: non_committed_changes: false
% 7.32/1.75
% 7.32/1.75 % ------ Parsing...
% 7.32/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.32/1.75
% 7.32/1.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 7.32/1.75
% 7.32/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.32/1.75
% 7.32/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.32/1.75 % ------ Proving...
% 7.32/1.75 % ------ Problem Properties
% 7.32/1.75
% 7.32/1.75 %
% 7.32/1.75 % clauses 16
% 7.32/1.75 % conjectures 2
% 7.32/1.75 % EPR 3
% 7.32/1.75 % Horn 15
% 7.32/1.75 % unary 2
% 7.32/1.75 % binary 10
% 7.32/1.75 % lits 39
% 7.32/1.75 % lits eq 1
% 7.32/1.75 % fd_pure 0
% 7.32/1.75 % fd_pseudo 0
% 7.32/1.75 % fd_cond 0
% 7.32/1.75 % fd_pseudo_cond 1
% 7.32/1.75 % AC symbols 0
% 7.32/1.75
% 7.32/1.75 % ------ Schedule dynamic 5 is on
% 7.32/1.75
% 7.32/1.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.32/1.75
% 7.32/1.75
% 7.32/1.75 % ------
% 7.32/1.75 % Current options:
% 7.32/1.75 % ------
% 7.32/1.75
% 7.32/1.75
% 7.32/1.75 %
% 7.32/1.75
% 7.32/1.75 % ------ Proving...
% 7.32/1.75 %
% 7.32/1.75
% 7.32/1.75 % SZS status Theorem for theBenchmark.p
% 7.32/1.75
% 7.32/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.32/1.78
% 7.32/1.78
%------------------------------------------------------------------------------